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R-matrix and Mickelsson algebras for orthosymplectic quantum groups
journal contribution
posted on 2019-02-25, 16:38 authored by Thomas Ashton, Andrey MudrovLet 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.
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Citation
Journal of Mathematical Physics, 2015, 56 (8), pp. ?-? (8)Author affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of MathematicsVersion
- VoR (Version of Record)
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Journal of Mathematical PhysicsPublisher
AIP Publishingissn
0022-2488eissn
1089-7658Acceptance date
2015-07-01Copyright date
2015Available date
2019-02-25Publisher DOI
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https://aip.scitation.org/doi/10.1063/1.4927582Language
enAdministrator link
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