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Blocks and families for cyclotomic Hecke algebras

The definition of Rouquier for the families of characters introduced by Lusztig for Weyl groups in terms of blocks of the Hecke algebras has made possible the generalization of this notion to the case of complex reflection groups. The aim of this book is to study the blocks and to determine the fami...

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Autor principal: Chlouveraki, Maria
Lenguaje:eng
Publicado: Springer 2009
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-642-03064-2
http://cds.cern.ch/record/1691748
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author Chlouveraki, Maria
author_facet Chlouveraki, Maria
author_sort Chlouveraki, Maria
collection CERN
description The definition of Rouquier for the families of characters introduced by Lusztig for Weyl groups in terms of blocks of the Hecke algebras has made possible the generalization of this notion to the case of complex reflection groups. The aim of this book is to study the blocks and to determine the families of characters for all cyclotomic Hecke algebras associated to complex reflection groups. This volume offers a thorough study of symmetric algebras, covering topics such as block theory, representation theory and Clifford theory, and can also serve as an introduction to the Hecke algebras of complex reflection groups.
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spelling cern-16917482021-04-21T21:07:24Zdoi:10.1007/978-3-642-03064-2http://cds.cern.ch/record/1691748engChlouveraki, MariaBlocks and families for cyclotomic Hecke algebrasMathematical Physics and MathematicsThe definition of Rouquier for the families of characters introduced by Lusztig for Weyl groups in terms of blocks of the Hecke algebras has made possible the generalization of this notion to the case of complex reflection groups. The aim of this book is to study the blocks and to determine the families of characters for all cyclotomic Hecke algebras associated to complex reflection groups. This volume offers a thorough study of symmetric algebras, covering topics such as block theory, representation theory and Clifford theory, and can also serve as an introduction to the Hecke algebras of complex reflection groups.Springeroai:cds.cern.ch:16917482009
spellingShingle Mathematical Physics and Mathematics
Chlouveraki, Maria
Blocks and families for cyclotomic Hecke algebras
title Blocks and families for cyclotomic Hecke algebras
title_full Blocks and families for cyclotomic Hecke algebras
title_fullStr Blocks and families for cyclotomic Hecke algebras
title_full_unstemmed Blocks and families for cyclotomic Hecke algebras
title_short Blocks and families for cyclotomic Hecke algebras
title_sort blocks and families for cyclotomic hecke algebras
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-3-642-03064-2
http://cds.cern.ch/record/1691748
work_keys_str_mv AT chlouverakimaria blocksandfamiliesforcyclotomicheckealgebras