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Bosonic realizations of the color analogue of the Heisenberg Lie algebra

Sigurdsson, Gunnar and Silvestrov, Sergei LU (2003) In Preprints in Mathematical Sciences1999-01-01+01:00 2003(4).
Abstract
We describe realizations of the color 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 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.
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author
organization
publishing date
type
Contribution to journal
publication status
unpublished
subject
keywords
Heisenberg Lie algebra, combinatorial identities, representations, functional difference-differential interpolation, Bernoulli and Stirling numbers, Euler
in
Preprints in Mathematical Sciences1999-01-01+01:00
volume
2003
issue
4
pages
46 pages
publisher
Lund University
external identifiers
  • Other:LUTFMA-5023-2003/1-46/(2003)
ISSN
1403-9338
project
Non-commutative Geometry in Mathematics and Physics
Non-commutative Analysis of Dynamics, Fractals and Wavelets
language
English
LU publication?
yes
id
f053c499-0e4c-4287-963b-2fafdc7653e8 (old id 958631)
alternative location
http://arxiv.org/abs/math/0311204v1
date added to LUP
2008-01-28 10:56:46
date last changed
2016-11-25 14:21:49
@article{f053c499-0e4c-4287-963b-2fafdc7653e8,
  abstract     = {We describe realizations of the color analogue<br/><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/><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.},
  author       = {Sigurdsson, Gunnar and Silvestrov, Sergei},
  issn         = {1403-9338},
  keyword      = {Heisenberg Lie algebra,combinatorial identities,representations,functional difference-differential interpolation,Bernoulli and Stirling numbers,Euler},
  language     = {eng},
  number       = {4},
  pages        = {46},
  publisher    = {Lund University},
  series       = {Preprints in Mathematical Sciences1999-01-01+01:00},
  title        = {Bosonic realizations of the color analogue of the Heisenberg Lie algebra},
  volume       = {2003},
  year         = {2003},
}