An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras.
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Publication:2577537
DOI10.1016/j.jalgebra.2004.10.017zbMath1104.20017arXivmath/0409271OpenAlexW1972679384MaRDI QIDQ2577537
Publication date: 22 December 2005
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0409271
Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Reflection and Coxeter groups (group-theoretic aspects) (20F55)
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Cites Work
- Morita equivalences of Ariki-Koike algebras.
- On the parametrization of the simple modules for Ariki-Koike algebras at roots of unity.
- Combinatorics of representations of \(U_ q (\widehat{\mathfrak sl}(n))\) at \(q=0\)
- Branching functions of \(A_{n-1}^{(1)}\) and Jantzen-Seitz problem for Ariki-Koike algebras
- 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 decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
- Hecke algebras at roots of unity and crystal bases of quantum affine algebras
- The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
- Weights of Markov traces and generic degrees
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