Journal of Nonlinear Mathematical Physics

Volume 13, Issue Supplement, August 2006, Pages 110 - 128

Bosonic Realizations of the Colour Heisenberg Lie Algebra

Authors
Gunnar SIGURDSSON, Sergei D SILVESTROV
Corresponding Author
Gunnar SIGURDSSON
Available Online 1 August 2006.
DOI
https://doi.org/10.2991/jnmp.2006.13.s.13How to use a DOI?
Keywords
Bosonic realizations, Colour Heisenberg Lie algebra, power series, Heisenberg's canonical commutation relations
Abstract
We describe realizations of the colour analogue 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 representations of the colour Heisenberg Lie algebra. These representations are shown to be closely connected with some combinatorial identities and functional difference-differential interpolation formulae involving Euler numbers.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - 100
Pages
110 - 128
Publication Date
2006/08
ISBN
91-974824-6-3
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2006.13.s.13How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Gunnar SIGURDSSON
AU  - Sergei D SILVESTROV
PY  - 2006
DA  - 2006/08
TI  - Bosonic Realizations of the Colour Heisenberg Lie Algebra
JO  - Journal of Nonlinear Mathematical Physics
SP  - 110
EP  - 128
VL  - 13
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.s.13
DO  - https://doi.org/10.2991/jnmp.2006.13.s.13
ID  - SIGURDSSON2006
ER  -