R-matrix and Mickelsson algebras for orthosymplectic quantum groups

Journal Article · Sat Aug 15 00:00:00 EDT 2015 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4927582· OSTI ID:22479582

Ashton, Thomas; Mudrov, Andrey ^[1]

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1. Department of Mathematics, University of Leicester, University Road, LE1 7RH Leicester (United Kingdom)

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 Z{sub q}(g, g′) in terms of Chevalley generators via the R-matrix of U{sub q}(g)

• OSTI ID: 22479582
• Journal Information: Journal of Mathematical Physics, Vol. 56, Issue 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
QUANTUM GROUPS
R MATRIX
U GROUPS