On double centralizer properties between quantum groups and Ariki-Koike algebras.

DOI10.1016/j.jalgebra.2003.10.026zbMath1092.20006OpenAlexW1976388168MaRDI QIDQ1881126

Friederike Stoll, Jun Hu

Publication date: 4 October 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.10.026

zbMATH Keywords

Hecke algebrasquantum groupsAriki-Koike algebrasendomorphism algebrastensor spacesdouble centralizer propertyShoji algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08)

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Product formulas for the cyclotomic \(v\)-Schur algebra and for the canonical bases of the Fock space ⋮ Cell structures for the Yokonuma-Hecke algebra and the algebra of braids and ties ⋮ On tensor spaces over Hecke algebras of type \(B_n\). ⋮ QUASI-SPLIT SYMMETRIC PAIRS OF AND THEIR SCHUR ALGEBRAS ⋮ Cellular structures using \(U_q\)-tilting modules ⋮ SEMISIMPLICITY OF HECKE AND (WALLED) BRAUER ALGEBRAS ⋮ On the action of Ariki-Koike algebras on tensor space. ⋮ Schur–Weyl quasi-duality and (co)triangular Hopf quasigroups ⋮ Double centralizer properties related to (co)triangular Hopf coquasigroups ⋮ Cyclotomic 𝑞-Schur algebras associated to the Ariki-Koike algebra ⋮ Schur-Weyl reciprocity between quantum groups and Hecke algebras of type \(G(p,p,n)\) ⋮ Modified Ariki-Koike algebras and cyclotomic \(q\)-Schur algebras.

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