Mickelsson algebras and Zhelobenko operators

Authors :: Oleg Ogievetsky
S. Khoroshkin
Centre de Physique Théorique - UMR 6207 (CPT)
Université de la Méditerranée - Aix-Marseille 2-Université de Provence - Aix-Marseille 1-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Centre de Physique Théorique - UMR 7332 (CPT)
Aix Marseille Université (AMU)-Université de Toulon (UTLN)-Centre National de la Recherche Scientifique (CNRS)
Bernardo, Elizabeth
Centre National de la Recherche Scientifique (CNRS)-Université de Toulon (UTLN)-Université de Provence - Aix-Marseille 1-Université de la Méditerranée - Aix-Marseille 2
Source :: Journal of Algebra, Journal of Algebra, Elsevier, 2008, 319 (5), pp.2113-2165, Journal of Algebra, 2008, 319 (5), pp.2113-2165
Publication Year :: 2006
Abstract: We construct a family of automorphisms of Mickelsson algebra, satisfying braid group relations. The construction uses ‘Zhelobenko cocycle’ and includes the dynamical Weyl group action as a particular case.

Subjects :: High Energy Physics - Theory
Dynamical Weyl group
Braid group
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]
FOS: Physical sciences
Universal enveloping algebra
Contragredient Lie algebras of finite growth
01 natural sciences
symbols.namesake
Mathematics::Group Theory
[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]
Mathematics::Quantum Algebra
0103 physical sciences
Mathematics - Quantum Algebra
FOS: Mathematics
Quantum Algebra (math.QA)
Braid group actions
Mickelsson algebras
[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]
0101 mathematics
Algebra over a field
Mathematical Physics
Mathematics
[MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA]
Extremal projector
Weyl group
Algebra and Number Theory
Quantum group
[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]
Quantized universal enveloping algebras
010102 general mathematics
Mathematical Physics (math-ph)
[PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph]
Automorphism
Zhelobenko cocycles
Action (physics)
Algebra
High Energy Physics - Theory (hep-th)
symbols
[MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA]
[PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th]
010307 mathematical physics
Generalized Kac–Moody algebra

Language :: English
ISSN :: 00218693 and 1090266X
Database :: OpenAIRE
Journal :: Journal of Algebra, Journal of Algebra, Elsevier, 2008, 319 (5), pp.2113-2165, Journal of Algebra, 2008, 319 (5), pp.2113-2165
Accession number :: edsair.doi.dedup.....8f3a0003ce867304ab4e6b1fd3ba3dd9

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