| Title | Bosonic realizations of the color analogue of the Heisenberg Lie algebra |
| Authors | Gunnar Sigurdsson, Sergei Silvestrov |
| Alternative Location | http://arxiv.org/abs/math/0... |
| Publication | LUTFMA-5023-2003/1-46/(2003) |
| Year | 2003 |
| Issue | 4 |
| Pages | 46 |
| Document type | Preprint |
| Status | Published |
| Language | eng |
| Abstract English | We describe realizations of the color analogue<br> of the Heisenberg Lie algebra by power series in non-commuting indeterminates satisfying Heisenberg's canonical commutation relations of quantum mechanics. The obtained formulas are used to construct new operator<br> representations of the color analogue of the Heisenberg Lie algebra. These representations are shown to be closely connected with some combinatorial identities and functional difference-differential interpolation formulae involving Euler, Bernoulli and Stirling numbers. |
| Keywords | Heisenberg Lie algebra, combinatorial identities, representations, functional difference-differential interpolation, Bernoulli and Stirling numbers, Euler, |
| ISBN/ISSN/Other | ISSN: 1403-9338 |
Questions: webmaster
Last update: 2013-04-11
Centre for Mathematical Sciences, Box 118, SE-22100, Lund. Telefon: +46 46-222 00 00 (vx)