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Lusztig's isomorphism theorem for cellular algebras. - MaRDI portal

Lusztig's isomorphism theorem for cellular algebras. (Q819795)

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scientific article; zbMATH DE number 5016246
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Lusztig's isomorphism theorem for cellular algebras.
scientific article; zbMATH DE number 5016246

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    Lusztig's isomorphism theorem for cellular algebras. (English)
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    29 March 2006
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    Following basically the ideas of \textit{G. Lusztig} [J. Algebra 71, 490-498 (1981; Zbl 0465.20042)], the authors prove an isomorphism theorem for cellular semisimple systems with parameters. Because of the complicated statement of the main result, I refer the reader to the paper for details.
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    cellular algebras
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    semisimple systems with parameters
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    Lusztig isomorphism theorem
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    Ariki-Koike algebras
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    cyclotomic \(q\)-Schur algebras
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    Birman-Murakami-Wenzl algebras
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    cyclotomic Hecke algebras
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    Iwahori-Hecke algebras
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    finite Weyl groups
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