| Title | Algebraic Curves for Commuting Elements in the q-deformed Heisenberg Algebra |
| Authors | Marcel de Jeu, Christian Svensson, Sergei Silvestrov |
| Alternative Location | http://arxiv.org/abs/0710.2748 |
| Publication | LUTFMA-5089-2007/1-17/(2007) |
| Year | 2007 |
| Issue | 23 |
| Pages | 17 |
| Document type | Preprint |
| Status | Published |
| Language | eng |
| Abstract English | In this paper we extend the eliminant construction of Burchnall and Chaundy for commuting differential operators in the Heisenberg algebra to the q-deformed Heisenberg algebra and show that it again provides annihilating curves for commuting elements, provided q satisfies a natural condition. As a side result we obtain estimates on the dimensions of the eigenspaces of elements of this algebra in its faithful module of Laurent series |
| Keywords | q-deformed Heisenberg algebra, commuting elements, Burchnall-Chaundy eliminant construction, algebraic dependence, |
| ISBN/ISSN/Other | ISSN: 1403-9338 |
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