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arxiv: math/0606259 · v1 · pith:5VAN3BJBnew · submitted 2006-06-11 · 🧮 math.QA · hep-th· math-ph· math.MP

Mickelsson algebras and Zhelobenko operators

classification 🧮 math.QA hep-thmath-phmath.MP
keywords groupmickelssonzhelobenkoactionalgebraalgebrasautomorphismsbraid
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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.

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