# Sergei Silvestrov publications listed in MathSciNet database

### 70 publications were listed in MathSciNet by January 16. See this list included further bellow.

The MathSciNet list is not complete since publications appearing in physics or engeneering journals or in proceedings volumes are often not listed or listed with big delayes.

MathSciNet database over mathematics publications is run by Americal Mathematical Society and lists publications in selected estbalished peer reviewed mathematics sourses such as international journals, volumes, books, proceedings, collective volumes, etc.   MathSciNet. requires access with subscription (institutional or individual) to access complete information, datebase search, further links and other features.

#### (periodically updated = expanded)

MathSciNet list as ordinary text with no further links with MR id numbers infront of each publication.  (the same as the list included bellow)

Without subscription to MathSciNet here is the list of those 70 publications as listed in MathSciNet by January 16, 2011 in three formates

Bellow is the same list of 70 publications in text formate (math symbols may be displayed as symbols or shown as LaTeX command in your web browser)

1. MR2718646  Makhlouf, Abdenacer ;  Silvestrov, Sergei . Hom-algebras and hom-coalgebras. J. Algebra Appl.  9  (2010),  no. 4, 553--589.
2. MR2653365  Ammar, F. ;  Makhlouf, A. ;  Silvestrov, S.  Ternary $q$$q$-Virasoro-Witt Hom-Nambu-Lie algebras. J. Phys. A  43  (2010),  no. 26, 265204, 13 pp.
3. MR2661446  Makhlouf, Abdenacer ;  Silvestrov, Sergei . Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras. Forum Math.  22  (2010),  no. 4, 715--739.
4. MR2662502  Arnlind, Joakim ;  Makhlouf, Abdenacer ;  Silvestrov, Sergei . Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras. J. Math. Phys.  51  (2010),  no. 4, 043515, 11 pp.
5. MR2654161  Silvestrov, Sergei ;  Osaka, Hiroyuki ;  Tomiyama, Jun . Operator convex functions over $C^\ast$$C^\ast$-algebras. Proc. Est. Acad. Sci.  59  (2010),  no. 1, 48--52.
6. MR2647851  Silvestrov, Sergei ;  Persson, Lars-Erik ;  Peetre, Jaak ;  Cwikel, Michael . Preface [Special issue on interpolation, inequalities, invariants, operators, and related topics]. Proc. Est. Acad. Sci.  59  (2010),  no. 1, 1--2.
7. MR2602995 (2011b:17064)  Sigurdsson, Gunnar ;  Silvestrov, Sergei D.  Matrix bosonic realizations of a Lie colour algebra with three generators and five relations of Heisenberg Lie type. J. Gen. Lie Theory Appl.  3  (2009),  no. 4, 329--340.
8. MR2602994  Richter, Johan ;  Silvestrov, Sergei . On algebraic curves for commuting elements in $q$$q$-Heisenberg algebras. J. Gen. Lie Theory Appl.  3  (2009),  no. 4, 321--328.
9. MR2602991 (Review)  Frégier, Yaël ;  Gohr, Aron ;  Silvestrov, Sergei . Unital algebras of Hom-associative type and surjective or injective twistings. J. Gen. Lie Theory Appl.  3  (2009),  no. 4, 285--295.
10. MR2590613  Arnlind, Joakim ;  Silvestrov, Sergei . Affine transformation crossed product type algebras and noncommutative surfaces. Operator structures and dynamical systems,  1--25, Contemp. Math., 503, Amer. Math. Soc., Providence, RI,  2009.
11. MR2590612 (2010g:46082)  Operator structures and dynamical systems.Proceedings of the Satellite Conference of the 5th European Congress of Mathematics held in Leiden, July 21–25, 2008.Edited by Marcel de Jeu, Sergei Silvestrov, Christian Skau and Jun Tomiyama.Contemporary Mathematics, 503. American Mathematical Society, Providence, RI,  2009. x+317 pp. ISBN: 978-0-8218-4747-3
12. MR2563502 (2011a:16067)  Öinert, Johan ;  Silvestrov, Sergei D.  Commutativity and ideals in pre-crystalline graded rings. Acta Appl. Math.  108  (2009),  no. 3, 603--615.
13. MR2563501 (Review)  Öinert, Johan ;  Silvestrov, Sergei ;  Theohari-Apostolidi, Theodora ;  Vavatsoulas, Harilaos . Commutativity and ideals in strongly graded rings. Acta Appl. Math.  108  (2009),  no. 3, 585--602.
14. MR2563500 (2010k:46071)  Carlsen, Toke Meier ;  Silvestrov, Sergei . On the Exel crossed product of topological covering maps. Acta Appl. Math.  108  (2009),  no. 3, 573--583.
15. MR2563498 (2010k:46078)  Svensson, Christian ;  Silvestrov, Sergei ;  de Jeu, Marcel . Dynamical systems associated with crossed products. Acta Appl. Math.  108  (2009),  no. 3, 547--559.
16. MR2544212  Laustsen, Niels Jakob ;  Silvestrov, Sergei D.  Heisenberg-Lie commutation relations in Banach algebras. Math. Proc. R. Ir. Acad.  109  (2009),  no. 2, 163--186.
17. MR2554429 (2010j:17007)  Ataguema, H. ;  Makhlouf, A. ;  Silvestrov, S.  Generalization of $n$$n$-ary Nambu algebras and beyond. J. Math. Phys.  50  (2009),  no. 8, 083501, 15 pp.
18. MR2509155 (2010g:16076)  Öinert, Johan ;  Silvestrov, Sergei D.  Crossed product-like and pre-crystalline graded rings. Generalized Lie theory in mathematics, physics and beyond,  281--296, Springer, Berlin,  2009.
19. MR2509154 (2010i:16064)  Silvestrov, Sergei ;  Svensson, Christian ;  de Jeu, Marcel . Algebraic dependence of commuting elements in algebras. Generalized Lie theory in mathematics, physics and beyond,  265--280, Springer, Berlin,  2009.
20. MR2509153 (2010k:16057)  Richard, Lionel ;  Silvestrov, Sergei . A note on quasi-Lie and Hom-Lie structures of $\sigma$$\sigma$-derivations of $\Bbb C[z^{\pm1}_1,\dots,z^{\pm1}_n]$$\Bbb C[z^{\pm1}_1,\dots,z^{\pm1}_n]$. Generalized Lie theory in mathematics, physics and beyond,  257--262, Springer, Berlin,  2009.
21. MR2509152 (2010g:17036)  Sigurdsson, Gunnar ;  Silvestrov, Sergei . Lie color and Hom-Lie algebras of Witt type and their central extensions. Generalized Lie theory in mathematics, physics and beyond,  247--255, Springer, Berlin,  2009.
22. MR2509148 (2010h:16077)  Makhlouf, Abdenacer ;  Silvestrov, Sergei . Hom-Lie admissible Hom-coalgebras and Hom-Hopf algebras. Generalized Lie theory in mathematics, physics and beyond,  189--206, Springer, Berlin,  2009.
23. MR2509138 (2010j:16030)  Larsson, Daniel ;  Silvestrov, Sergei D.  On generalized $N$$N$-complexes coming from twisted derivations. Generalized Lie theory in mathematics, physics and beyond,  81--88, Springer, Berlin,  2009.
24. MR2482335 (2010c:00005)  Generalized Lie theory in mathematics, physics and beyond.Papers from the International Workshop of the Baltic-Nordic "Algebra, Geometry and Mathematical Physics'' Network held at Lund University, Lund, October 12–14, 2006.Edited by Sergei Silvestrov, Eugen Paal, Viktor Abramov and Alexander Stolin.Springer-Verlag, Berlin,  2009. xviii+305 pp. ISBN: 978-3-540-85331-2
25. MR2489898 (2010c:16027)  de Jeu, Marcel ;  Svensson, Christian ;  Silvestrov, Sergei . Algebraic curves for commuting elements in the $q$$q$-deformed Heisenberg algebra. J. Algebra  321  (2009),  no. 4, 1239--1255.
26. MR2476787 (2009m:16049)  Öinert, Johan ;  Silvestrov, Sergei D.  Commutativity and ideals in algebraic crossed products. J. Gen. Lie Theory Appl.  2  (2008),  no. 4, 287--302.
27. MR2443279 (2009h:60128)  Andersson, Fredrik K. ;  Silvestrov, Sergei D.  The mathematics of internet search engines. Acta Appl. Math.  104  (2008),  no. 2, 211--242.
28. MR2435015 (2009g:16040)  Öinert, Johan ;  Silvestrov, Sergei D.  On a correspondence between ideals and commutativity in algebraic crossed products. J. Gen. Lie Theory Appl.  2  (2008),  no. 3, 216--220.
29. MR2435012 (2009g:17020)  Larsson, Daniel ;  Sigurdsson, Gunnar ;  Silvestrov, Sergei D.  Quasi-Lie deformations on the algebra $\Bbb F[t]/(t^N)$$\Bbb F[t]/(t^N)$. J. Gen. Lie Theory Appl.  2  (2008),  no. 3, 201--205.
30. MR2434995  Abramov, V. ;  Paal, E. ;  Silvestrov, S. ;  Stolin, A.  Proceedings of the 3rd Baltic-Nordic Workshop "Algebra, Geometry, and Mathematical Physics''.Held in Göteborg, October 11–13, 2007. J. Gen. Lie Theory Appl.  2  (2008),  no. 3, 109.
31. MR2399415 (2009b:17003)  Makhlouf, Abdenacer ;  Silvestrov, Sergei D.  Hom-algebra structures. J. Gen. Lie Theory Appl.  2  (2008),  no. 2, 51--64.
32. MR2379099 (2008m:13050)  Richard, Lionel ;  Silvestrov, Sergei D.  Quasi-Lie structure of $\sigma$$\sigma$-derivations of $\Bbb C[t^{\pm1}]$$\Bbb C[t^{\pm1}]$. J. Algebra  319  (2008),  no. 3, 1285--1304.
33. MR2395773 (2009e:17028)  Silvestrov, Sergei . Paradigm of quasi-Lie and quasi-Hom-Lie algebras and quasi-deformations. New techniques in Hopf algebras and graded ring theory,  165--177, K. Vlaam. Acad. Belgie Wet. Kunsten (KVAB), Brussels,  2007.
34. MR2372334 (2008k:17040)  Larsson, Daniel ;  Silvestrov, Sergei D.  Quasi-deformations of ${\germ{sl}}_2(\Bbb F)$${\germ{sl}}_2(\Bbb F)$ using twisted derivations. Comm. Algebra  35  (2007),  no. 12, 4303--4318.
35. MR2360917 (2008m:46140)  Carlsen, Toke Meier ;  Silvestrov, Sergei . $C^*$$C^*$-crossed products and shift spaces. Expo. Math.  25  (2007),  no. 4, 275--307.
36. MR2356841 (2008i:17037)  Piontkovski, Dmitri ;  Silvestrov, Sergei D.  Cohomology of 3-dimensional color Lie algebras. J. Algebra  316  (2007),  no. 2, 499--513.
37. MR2329005 (2008k:47027)  Ameur, Yacin ;  Kaijser, Sten ;  Silvestrov, Sergei . Interpolation classes and matrix monotone functions. J. Operator Theory  57  (2007),  no. 2, 409--427.
38. MR2331751 (2008e:16022)  Hellström, Lars ;  Silvestrov, Sergei D.  Ergodipotent maps and commutativity of elements in noncommutative rings and algebras with twisted intertwining. J. Algebra  314  (2007),  no. 1, 17--41.
39. MR2327723 (2008d:47034)  Osaka, Hiroyuki ;  Silvestrov, Sergei ;  Tomiyama, Jun . Monotone operator functions, gaps and power moment problem. Math. Scand.  100  (2007),  no. 1, 161--183.
40. MR2325355 (2008f:46085)  Svensson, Christian ;  Silvestrov, Sergei ;  de Jeu, Marcel . Dynamical systems and commutants in crossed products. Internat. J. Math.  18  (2007),  no. 4, 455--471.
41. MR2282315 (2008e:17029)  Sigurdsson, Gunnar ;  Silvestrov, Sergei D.  Graded quasi-Lie algebras of Witt type. Czechoslovak J. Phys.  56  (2006),  no. 10-11, 1287--1291.
42. MR2282305 (2008b:17026)  Larsson, Daniel ;  Silvestrov, Sergei D.  Quasi-deformations of $\germ s\germ l_2(\Bbb F)$$\germ s\germ l_2(\Bbb F)$ with base $\Bbb R[t,t^{-1}]$$\Bbb R[t,t^{-1}]$. Czechoslovak J. Phys.  56  (2006),  no. 10-11, 1227--1230.
43. MR2272701 (2008g:17032)  Chen, X.-W. ;  Silvestrov, S. D. ;  Van Oystaeyen, F.  Representations and cocycle twists of color Lie algebras. Algebr. Represent. Theory  9  (2006),  no. 6, 633--650.
44. MR2257734 (2007c:46019)  Ameur, Yacin ;  Kaijser, Sten ;  Silvestrov, Sergei . Interpolation classes, operator and matrix monotone functions. Proc. Estonian Acad. Sci. Phys. Math.  55  (2006),  no. 3, 141--145.
45. MR2257733  Peetre, Jaak . Preface [Special issue on trilinear forms in Hilbert space and other topics].Edited by M. Cwikel, Peetre and S. Silvestrov. Proc. Estonian Acad. Sci. Phys. Math.  55  (2006),  no. 3, 139--140.
46. MR2238980 (2007i:17039)  Sigurdsson, Gunnar ;  Silvestrov, Sergei D.  Bosonic realizations of the colour Heisenberg Lie algebra. J. Nonlinear Math. Phys.  13  (2006),  suppl. 1, 110--128.
47. MR2238976 (2008b:17012)  Larsson, Daniel ;  Sigurdsson, Gunnar ;  Silvestrov, Sergei D.  On some almost quadratic algebras coming from twisted derivations. J. Nonlinear Math. Phys.  13  (2006),  suppl. 1, 76--86.
48. MR2238967  Paal, Eugen ;  Silvestrov, Sergei . Proceedings of the Baltic-Nordic Workshop Algebra, Geometry and Mathematical Physics.Held in Tallinn, October 2005. J. Nonlinear Math. Phys.  13  (2006),  suppl. 1, 1--2.
49. MR2213737 (2007a:46078)  Manuilov, Vladimir ;  Silvestrov, Sergei . An invariant for unbounded operators. Proc. Amer. Math. Soc.  134  (2006),  no. 9, 2593--2598 (electronic).
50. MR2194957 (2006i:17036)  Hartwig, Jonas T. ;  Larsson, Daniel ;  Silvestrov, Sergei D.  Deformations of Lie algebras using $\sigma$$\sigma$-derivations. J. Algebra  295  (2006),  no. 2, 314--361.
51. MR2223838 (2007a:17042)  Larsson, Daniel ;  Silvestrov, Sergei D.  Graded quasi-Lie algebras. Czechoslovak J. Phys.  55  (2005),  no. 11, 1473--1478.
52. MR2223837 (2007j:17033)  Larsson, Daniel ;  Silvestrov, Sergei D.  The Lie algebra $\germ{sl}_2({\Bbb F})$$\germ{sl}_2({\Bbb F})$ and quasi-deformations. Czechoslovak J. Phys.  55  (2005),  no. 11, 1467--1472.
53. MR2217110 (2006m:39031)  Silvestrov, Sergei D.  Twisted Volterra equation. J. Nonlinear Math. Phys.  12  (2005),  suppl. 2, 295--299.
54. MR2184027 (2006h:17037)  Larsson, Daniel ;  Silvestrov, Sergei D.  Quasi-Lie algebras. Noncommutative geometry and representation theory in mathematical physics,  241--248, Contemp. Math., 391, Amer. Math. Soc., Providence, RI,  2005.
55. MR2155004 (2006e:16046)  Hellström, Lars ;  Silvestrov, Sergei . Two-sided ideals in $q$$q$-deformed Heisenberg algebras. Expo. Math.  23  (2005),  no. 2, 99--125.
56. MR2146132 (2006i:17045)  Larsson, Daniel ;  Silvestrov, Sergei D.  Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities. J. Algebra  288  (2005),  no. 2, 321--344.
57. MR2121847 (2005k:46139)  Osaka, Hiroyuki ;  Silvestrov, Sergei ;  Tomiyama, Jun . Monotone operator functions on $C^*$$C^*$-algebras. Internat. J. Math.  16  (2005),  no. 2, 181--196.
58. MR2119181 (2005k:81130)  Jing, Sicong ;  Silvestrov, Sergei D.  A new kind of two-parameter deformation of Heisenberg and parabose algebras and related deformed derivative. J. Phys. A  38  (2005),  no. 8, 1711--1721.
59. MR2062271 (2006g:39055)  Larsson, Daniel ;  Silvestrov, Sergei D.  Burchnall-Chaundy theory for $q$$q$-difference operators and $q$$q$-deformed Heisenberg algebras. J. Nonlinear Math. Phys.  10  (2003),  suppl. 2, 95--106.
60. MR1904711 (2004c:37025)  Silvestrov, Sergei D. ;  Tomiyama, Jun . Topological dynamical systems of type I. Expo. Math.  20  (2002),  no. 2, 117--142.
61. MR1798784  Sigurđsson, Gunnar ;  Silvestrov, Sergei D.  Canonical involutions in three-dimensional generalised Lie algebras.Quantum groups and integrable systems (Prague, 1999). Czechoslovak J. Phys.  50  (2000),  no. 1, 181--186.
62. MR1794236 (2001m:16072)  Hellström, Lars ;  Silvestrov, Sergei D.  Commuting elements in $q$$q$-deformed Heisenberg algebras.World Scientific Publishing Co., Inc., River Edge, NJ,  2000. xiv+257 pp. ISBN: 981-02-4403-7
63. MR1682004  Silvestrov, Sergei D.  On rings generalizing commutativity.Quantum groups and integrable systems (Prague, 1998). Czechoslovak J. Phys.  48  (1998),  no. 11, 1495--1500.
64. MR1658712 (2000d:17021)  Silvestrov, Sergei D. ;  Turowska, Lyudmila B.  Representations of the $q$$q$-deformed Lie algebra of the group of motions of the Euclidean plane. J. Funct. Anal.  160  (1998),  no. 1, 79--114.
65. MR1615869 (99i:81101)  Hellström, Lars ;  Silvestrov, Sergei D.  On centralisers in $q$$q$-deformed Heisenberg algebras.Quantum groups and integrable systems, Part I (Prague, 1997). Czechoslovak J. Phys.  47  (1997),  no. 11, 1163--1169.
66. MR1481741 (98k:17033)  Silvestrov, Sergei D.  On the classification of $3$$3$-dimensional coloured Lie algebras. Quantum groups and quantum spaces (Warsaw, 1995),  159--170, Banach Center Publ., 40, Polish Acad. Sci., Warsaw,  1997.
67. MR1456486 (98f:81092)  Persson, L. ;  Silvestrov, S. D. ;  Strunk, P.  Central elements of the second order in three-dimensional generalised Lie algebras.Quantum groups and integrable systems, II (Prague, 1996). Czechoslovak J. Phys.  47  (1997),  no. 1, 99--106.
68. MR1374136 (97a:47052)  Silvestrov, Sergei D. ;  Wallin, Hans . Representations of algebras associated with a Möbius transformation.Symmetry in nonlinear mathematical physics, Vol. 2 (Kiev, 1995). J. Nonlinear Math. Phys.  3  (1996),  no. 1-2, 202--213.
69. MR1367444 (97j:47065)  Silvestrov, Sergei D.  Hilbert space representations of the graded analogue of the Lie algebra of the group of plane motions. Studia Math.  117  (1996),  no. 2, 195--203.
70. MR1213895 (94c:17042) Ostrovskiĭ, V. L. ; Silʹvestrov, S. D. Representations of real forms of the graded analogue of a Lie algebra. (Russian) Ukraïn. Mat. Zh. 44 (1992), no. 11, 1518--1524; translation in Ukrainian Math. J. 44 (1992), no. 11, 1395--1401 (1993)