| Representations of Affine Hecke Algebras 1994 Edition Contributor(s): XI, Nanhua (Author) |
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ISBN: 3540583890 ISBN-13: 9783540583899 Publisher: Springer OUR PRICE: $37.95 Product Type: Paperback - Other Formats Published: September 1994 Annotation: Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra H"q" ("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 H"q"-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 H"q"-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 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Linear - Mathematics | Group Theory - Mathematics | Algebra - Abstract |
| Dewey: 512.55 |
| LCCN: 94022893 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.33" H x 6.14" W x 9.21" (0.49 lbs) 144 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 |