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- catalog abstract ""This volume presents a fully self-contained introduction to the modular representation theory of the Iwahori-Hecke algebras of the symmetric groups and of the q-Schur algebras. The study of these algebras was pioneered by Dipper and James in a series of landmark papers. The primary goal of the book is to classify the blocks and the simple modules of both algebras. The final chapter contains a survey of recent advances and open problems."--Jacket.".
- catalog contributor b11610238.
- catalog created "c1999.".
- catalog date "1999".
- catalog date "c1999.".
- catalog dateCopyrighted "c1999.".
- catalog description ""This volume presents a fully self-contained introduction to the modular representation theory of the Iwahori-Hecke algebras of the symmetric groups and of the q-Schur algebras. The study of these algebras was pioneered by Dipper and James in a series of landmark papers. The primary goal of the book is to classify the blocks and the simple modules of both algebras. The final chapter contains a survey of recent advances and open problems."--Jacket.".
- catalog description "Includes bibliographical references and indexes.".
- catalog description "The Iwahori-Hecke algebra of the symmetric group -- The Symmetric group -- The Iwahori-Hecke algebra -- The 0-Hecke algebra -- Cellular algebras -- Cellular bases -- Simple modules in a cellular algebra -- The modular representation theory of H -- The combinatorics of tableaux -- The Murphy basis -- Specht modules and Jucys-Murphy elements -- Irreducible H-modules -- The q-Schur algebra -- Semistandard tableaux -- A Specht filtration of M[superscript [mu]] -- The semistandard basis theorem -- The Jantzen sum formula and the blocks of H -- Gram determinants of Weyl modules -- The Jantzen sum formula -- The blocks of I (n) and H -- Irreducible Weyl modules and Specht modules -- Branching rules, canonical bases and decomposition matrices -- The LLT algorithm -- Decomposition maps and adjustment matrices -- The Kleshchev-Brundan modular branching rules -- Rules for computing decomposition matrices -- The q-Schur algebras and GL[subscript n](q) -- The Ariki-Koike algebras and cyclotomic q-Schur algebras -- Finite dimensional algebras over a field -- Filtrations and composition series -- Idempotents and indecomposable modules -- The blocks of A -- Semisimple symmetric algebras -- Decomposition matrices -- Decomposition matrices when e = 2 -- Decomposition matrices when e = 3 -- Decomposition matrices when e = 4 -- Elementary divisors of integral Specht modules.".
- catalog extent "xiii, 188 p. :".
- catalog identifier "0821819267 (alk. paper)".
- catalog isPartOf "University lecture series (Providence, R.I.) ; 15.".
- catalog isPartOf "University lecture series, 1047-3998 ; v. 15".
- catalog issued "1999".
- catalog issued "c1999.".
- catalog language "eng".
- catalog publisher "Providence, R.I. : American Mathematical Society,".
- catalog subject "512/.2 21".
- catalog subject "QA174.2 .M38 1999".
- catalog subject "Representations of algebras.".
- catalog subject "Symmetry groups.".
- catalog tableOfContents "The Iwahori-Hecke algebra of the symmetric group -- The Symmetric group -- The Iwahori-Hecke algebra -- The 0-Hecke algebra -- Cellular algebras -- Cellular bases -- Simple modules in a cellular algebra -- The modular representation theory of H -- The combinatorics of tableaux -- The Murphy basis -- Specht modules and Jucys-Murphy elements -- Irreducible H-modules -- The q-Schur algebra -- Semistandard tableaux -- A Specht filtration of M[superscript [mu]] -- The semistandard basis theorem -- The Jantzen sum formula and the blocks of H -- Gram determinants of Weyl modules -- The Jantzen sum formula -- The blocks of I (n) and H -- Irreducible Weyl modules and Specht modules -- Branching rules, canonical bases and decomposition matrices -- The LLT algorithm -- Decomposition maps and adjustment matrices -- The Kleshchev-Brundan modular branching rules -- Rules for computing decomposition matrices -- The q-Schur algebras and GL[subscript n](q) -- The Ariki-Koike algebras and cyclotomic q-Schur algebras -- Finite dimensional algebras over a field -- Filtrations and composition series -- Idempotents and indecomposable modules -- The blocks of A -- Semisimple symmetric algebras -- Decomposition matrices -- Decomposition matrices when e = 2 -- Decomposition matrices when e = 3 -- Decomposition matrices when e = 4 -- Elementary divisors of integral Specht modules.".
- catalog title "Iwahori-Hecke algebras and Schur algebras of the symmetric group / Andrew Mathas.".
- catalog type "text".