Bosonic realizations of the color analogue of the Heisenberg Lie algebra
(2003) In Preprints in Mathematical Sciences 2003(4). Abstract
 We describe realizations of the color analogue
of the Heisenberg Lie algebra by power series in noncommuting 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 differencedifferential interpolation formulae involving Euler, Bernoulli and Stirling numbers.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/958631
 author
 Sigurdsson, Gunnar and Silvestrov, Sergei ^{LU}
 organization
 publishing date
 2003
 type
 Contribution to journal
 publication status
 unpublished
 subject
 keywords
 Heisenberg Lie algebra, combinatorial identities, representations, functional differencedifferential interpolation, Bernoulli and Stirling numbers, Euler
 in
 Preprints in Mathematical Sciences
 volume
 2003
 issue
 4
 pages
 46 pages
 publisher
 Lund University
 external identifiers

 other:LUTFMA50232003/146/(2003)
 ISSN
 14039338
 project
 Noncommutative Analysis of Dynamics, Fractals and Wavelets
 Noncommutative Geometry in Mathematics and Physics
 language
 English
 LU publication?
 yes
 id
 f053c4990e4c4287963b2fafdc7653e8 (old id 958631)
 alternative location
 http://arxiv.org/abs/math/0311204v1
 date added to LUP
 20160404 09:07:28
 date last changed
 20181121 20:50:54
@article{f053c4990e4c4287963b2fafdc7653e8, abstract = {We describe realizations of the color analogue<br/><br> of the Heisenberg Lie algebra by power series in noncommuting 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 differencedifferential interpolation formulae involving Euler, Bernoulli and Stirling numbers.}, author = {Sigurdsson, Gunnar and Silvestrov, Sergei}, issn = {14039338}, language = {eng}, number = {4}, publisher = {Lund University}, series = {Preprints in Mathematical Sciences}, title = {Bosonic realizations of the color analogue of the Heisenberg Lie algebra}, url = {http://arxiv.org/abs/math/0311204v1}, volume = {2003}, year = {2003}, }