On tensor spaces over Hecke algebras of type \(B_n\).
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Publication:853940
DOI10.1016/j.jalgebra.2006.04.003zbMath1105.20004OpenAlexW2075241845MaRDI QIDQ853940
Publication date: 7 December 2006
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.04.003
Hecke algebrasWeyl groupsSchur algebrascoset representativestensor spacesIwahori-Hecke algebrasdirect sums of permutation modulesnatural bases
Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55)
Related Items (2)
Vust's theorem and higher level Schur-Weyl duality for types \(B\), \(C\) and \(D\) ⋮ Affine Hecke algebras and quantum symmetric pairs
Cites Work
- A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
- Polynomial representations of \(GL_n\)
- Quantum Weyl reciprocity and tilting modules
- Hyperoctahedral Schur algebras
- Reduced words and a length function for \(G(e,1,n)\)
- Crystal bases and simple modules for Hecke algebra of type \(D_n\).
- Schur-Weyl reciprocity for Ariki-Koike algebras
- A Morita equivalence theorem for Hecke algebra \({\mathcal H}_q(D_n)\) when \(n\) is even
- On double centralizer properties between quantum groups and Ariki-Koike algebras.
- Modular representations of Hecke algebras of type \(G(p,p,n)\).
- Schur-Weyl reciprocity for the Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\)
- The q ‐Schur Algebra
- Representations of Hecke Algebras of General Linear Groups
- q-Tensor Space and q-Weyl Modules
- Hecke Algebras of Type Bn at Roots of Unity
- Schur-Weyl reciprocity between quantum groups and Hecke algebras of type \(G(r,1,n)\)
- Quasi-parabolic subgroups of \(G(m,1,r)\).
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