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Field name	Details
Dewey Class	512.55
Dewey Class	512.482
Title	Representations of Affine Hecke Algebras ([EBook] /) / by Nanhua Xi.
Author	Xi, Nanhua
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994.
Physical Details	VIII, 144 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1587
ISBN	9783540486824
Summary Note	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.:
Contents note	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 × ?* -- 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 -- Simple modules attached to c 1.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0074130
Links to Related Works	Subject References: Group theory . Group Theory and Generalizations . K-Theory . Lie groups . Mathematics . Topological groups . Topological groups, Lie groups . Authors: Xi, Nanhua . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.482 . 512.55 .

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Representations of Affine Hecke Algebras

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