Central elements for quantum affine algebras and affine Macdonald's operators

DOI10.4310/MRL.1995.v2.n5.a7zbMath0964.17011arXivq-alg/9412007MaRDI QIDQ1910659

Pavel I. Etingof

Publication date: 18 July 2001

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/q-alg/9412007

zbMATH Keywords

central elementssymmetrizable Kac-Moody algebraMacdonald's difference operatorsaffine Macdonald polynomials

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Difference operators (39A70) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (7)

Traces of intertwiners for quantum affine algebras and difference equations (after Etingof-Schiffmann-Varchenko) ⋮ Positive Casimir and central characters of split real quantum groups ⋮ Chern-Simons theory, link invariants and the Askey-Wilson algebra ⋮ On the centre of two-parameter quantum groups \(U_{r, s}(\mathfrak{g})\) for type \(B_n\) with \(n\) even ⋮ Ruijsenaars’ commuting difference operators and invariant subspace spanned by theta functions ⋮ Center and universal R-matrix for quantized Borcherds superalgebras ⋮ On the center of quantized enveloping algebras

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