Poisson–Hopf limit of quantum algebras

The Poisson-Hopf analogue of an arbitrary quantum algebra Uz(g) is constructed by introducing a one-parameter family of quantizations Uz,(g) depending explicitly on and by taking the appropriate - > 0 limit. The q-Poisson analogues of the su(2) algebra are discussed and the novel case is introduc...

Full description

Saved in:
Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 42; no. 27; pp. 275202 - 275202 (9)
Main Authors Ballesteros, A, Celeghini, E, Olmo, M A del
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 10.07.2009
IOP
Subjects
Exact sciences and technology
Physics
Quantization
Hopf algebra
Quantum limit
SU theory
Online AccessGet full text

Cover

More Information
Summary:The Poisson-Hopf analogue of an arbitrary quantum algebra Uz(g) is constructed by introducing a one-parameter family of quantizations Uz,(g) depending explicitly on and by taking the appropriate - > 0 limit. The q-Poisson analogues of the su(2) algebra are discussed and the novel case is introduced. The q-Serre relations are also extended to the Poisson limit. This approach opens the perspective for possible applications of higher rank q-deformed Hopf algebras in semiclassical contexts.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/42/27/275202