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R-matrix and Mickelsson algebras for orthosymplectic quantum groups

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journal contribution
posted on 25.02.2019, 16:38 by Thomas Ashton, Andrey Mudrov
Let 𝔤 be a complex orthogonal or symplectic Lie algebra and 𝔤′ ⊂ 𝔤 the Lie subalgebra of rank rk 𝔤′ = rk 𝔤 − 1 of the same type. We give an explicit construction of generators of the Mickelsson algebra Zq(𝔤, 𝔤′) in terms of Chevalley generators via the R-matrix of Uq(𝔤).

Funding

This research is supported in part by the RFBR Grant No. 15-01-03148. We are grateful to the Max-Plank Institute for Mathematics in Bonn for hospitality and excellent research atmosphere.

History

Citation

Journal of Mathematical Physics, 2015, 56 (8), pp. ?-? (8)

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

VoR (Version of Record)

Published in

Journal of Mathematical Physics

Publisher

AIP Publishing

issn

0022-2488

eissn

1089-7658

Acceptance date

01/07/2015

Copyright date

2015

Available date

25/02/2019

Publisher version

https://aip.scitation.org/doi/10.1063/1.4927582

Language

en