Computation of monodromy of certain W-invariant local systems of types B, C, D

DOI10.1007/BF01077930zbMath0717.20005OpenAlexW2067349470MaRDI QIDQ753950

Ivan V. Cherednik

Publication date: 1990

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077930

zbMATH Keywords

braid groupsroot systemaffine Hecke algebramonodromy representationsn-point Knizhnik-Zamolodchikov equationroot patterns

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) PDEs in connection with quantum mechanics (35Q40) Simple, semisimple, reductive (super)algebras (17B20) Applications of group representations to physics and other areas of science (20C35)

Related Items (12)

Some monodromy representations of generalized braid groups ⋮ Fusion procedure for Coxeter groups of type 𝐵 and complex reflection groups 𝐺(𝑚,1,𝑛) ⋮ Unitary representations of cyclotomic rational Cherednik algebras ⋮ Gauss decomposition for quantum groups and supergroups ⋮ Ribbon braided module categories, quantum symmetric pairs and Knizhnik-Zamolodchikov equations ⋮ Flat connections and Brauer type algebras. ⋮ Stokes phenomenon and reflection equations ⋮ Representation theory and the diagonal coinvariant ring of the type B Weyl group ⋮ Krammer representations for complex braid groups. ⋮ On the generic Krammer representations. ⋮ Orthogonal functions generalizing Jack polynomials ⋮ Fusion procedure for wreath products of finite groups by the symmetric group.

Cites Work

• A new interpretation of Gelfand-Tsetlin bases

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