Representations of Affine Hecke Algebras

AvNanhua Xi

Häftad, Engelska, 1994

Del 1587 i serien Lecture Notes in Mathematics

278 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

E-bok

363 kr

Beskrivning

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

Produktinformation

Utgivningsdatum:1994-09-26
Mått:155 x 235 x 9 mm
Vikt:242 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:144
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540583899

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Innehållsförteckning

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.