On the action of Ariki-Koike algebras on tensor space.
DOI10.1016/J.JALGEBRA.2007.10.008zbMath1146.20002OpenAlexW2123498496MaRDI QIDQ932869
Publication date: 11 July 2008
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.10.008
Hecke algebrasquantum groups\(q\)-Schur algebrasAriki-Koike algebrasSchur-Weyl dualityendomorphism algebrastensor spacesdouble centralizer propertyLevi subalgebrasShoji algebras
Endomorphism rings; matrix rings (16S50) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Module categories in associative algebras (16D90)
Cites Work
- Unnamed Item
- Morita equivalences of Ariki-Koike algebras.
- Representations of Hecke algebras of type \(B_n\)
- Quantum Weyl reciprocity and tilting modules
- Cyclotomic \(q\)-Schur algebras
- A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
- On the semi-simplicity of the Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\)
- Modified Ariki-Koike algebras and cyclotomic \(q\)-Schur algebras.
- Schur-Weyl reciprocity for Ariki-Koike algebras
- On double centralizer properties between quantum groups and Ariki-Koike algebras.
- Schur-Weyl reciprocity for the Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\)
- Cellular algebras
- A Frobenius formula for the characters of Ariki-Koike algebras
- Quantum linear groups and representations of 𝐺𝐿_{𝑛}(𝐹_{𝑞})
- Quantum GLn
- The q ‐Schur Algebra
- Representations of Hecke Algebras of General Linear Groups
- q-Tensor Space and q-Weyl Modules
- Cyclotomic q-Schur algebras as quotients of quantum algebras
- Blocks and Idempotents of Hecke Algebras of General Linear Groups
- Schur-Weyl reciprocity between quantum groups and Hecke algebras of type \(G(r,1,n)\)
This page was built for publication: On the action of Ariki-Koike algebras on tensor space.