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- catalog abstract "Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q is not too small. These Lecture Notes of N. Xi show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras. Basic knowledge of abstract algebra is enough to read one third of the book. Some knowledge of K-theory, algebraic group, and Kazhdan-Lusztig cell of Cexeter group is useful for the rest".
- catalog contributor b7022929.
- catalog created "c1994.".
- catalog date "1994".
- catalog date "c1994.".
- catalog dateCopyrighted "c1994.".
- catalog description "Contents: Hecke algebras -- Affine Weyl groups and affine Hecke algebras -- A generalized two-sided cell of an affine Weyl group -- qs-analogue of weight multiplicity -- Kazhdan-Lusztig classification on simple modules of affine Hecke algebras -- An equivalence relation in T x C* The lowest two-sided cell -- Principal series representations and induced modules -- Isogenous affine Hecke algebras -- Quotient algebras -- The based rings of cells in affine Weyl groups of type G2, B2, A2 -- Simple modules attached to c1.".
- catalog description "Includes bibliographical references (p. 129-134) and index.".
- catalog description "Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple Hq-modules can be classified provided that the order of q is not too small. These Lecture Notes of N. Xi show that the classification of simple Hq-modules is essentially different from general cases when q is a root of 1 of certain orders. In addition the based rings of affine Weyl groups are shown to be of interest in understanding irreducible representations of affine Hecke algebras. Basic knowledge of abstract algebra is enough to read one third of the book. Some knowledge of K-theory, algebraic group, and Kazhdan-Lusztig cell of Cexeter group is useful for the rest".
- catalog extent "viii, 137 p. :".
- catalog hasFormat "Representations of affine Hecke algebras.".
- catalog identifier "0387583890 (New York : acid-free paper) :".
- catalog identifier "3540583890 (Berlin : acid-free paper) :".
- catalog isFormatOf "Representations of affine Hecke algebras.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1587.".
- catalog isPartOf "Lecture notes in mathematics ; 1587".
- catalog issued "1994".
- catalog issued "c1994.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog relation "Representations of affine Hecke algebras.".
- catalog subject "510 s 512/.55 20".
- catalog subject "Group theory.".
- catalog subject "Hecke algebras.".
- catalog subject "K-theory.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no. 1587 QA179".
- catalog subject "Representations of algebras.".
- catalog subject "Topological Groups.".
- catalog tableOfContents "Contents: Hecke algebras -- Affine Weyl groups and affine Hecke algebras -- A generalized two-sided cell of an affine Weyl group -- qs-analogue of weight multiplicity -- Kazhdan-Lusztig classification on simple modules of affine Hecke algebras -- An equivalence relation in T x C* The lowest two-sided cell -- Principal series representations and induced modules -- Isogenous affine Hecke algebras -- Quotient algebras -- The based rings of cells in affine Weyl groups of type G2, B2, A2 -- Simple modules attached to c1.".
- catalog title "Representations of affine Hecke algebras / Nanhua Xi.".
- catalog type "text".