Representations of affine Hecke algebras /
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| Author / Creator: | Xi, Nanhua, 1963- |
|---|---|
| Imprint: | Berlin ; New York : Springer-Verlag, ©1994. |
| Description: | 1 online resource (viii, 137 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1587 Lecture notes in mathematics (Springer-Verlag) ; 1587. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11071440 |
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| 100 | 1 | |a Xi, Nanhua, |d 1963- |0 http://id.loc.gov/authorities/names/n94069257 |1 http://viaf.org/viaf/113987943 | |
| 245 | 1 | 0 | |a Representations of affine Hecke algebras / |c Nanhua Xi. |
| 260 | |a Berlin ; |a New York : |b Springer-Verlag, |c ©1994. | ||
| 300 | |a 1 online resource (viii, 137 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
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| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1587 | |
| 504 | |a Includes bibliographical references (pages 129-134) and index. | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [S.l.] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Hecke algebras. |0 http://id.loc.gov/authorities/subjects/sh90002586 | |
| 650 | 0 | |a Representations of algebras. |0 http://id.loc.gov/authorities/subjects/sh85112938 | |
| 650 | 4 | |a Algèbre Hecke affine. | |
| 650 | 4 | |a Groupe Weyl affine. | |
| 650 | 4 | |a Classification Kazhdan-Lusztig. | |
| 650 | 4 | |a Groupe Coxeter. | |
| 650 | 6 | |a Hecke, Algèbres de. | |
| 650 | 6 | |a Représentations d'algèbres. | |
| 650 | 7 | |a Hecke algebras. |2 fast |0 (OCoLC)fst00954423 | |
| 650 | 7 | |a Representations of algebras. |2 fast |0 (OCoLC)fst01094934 | |
| 650 | 1 | 7 | |a Representatie (wiskunde) |2 gtt |
| 650 | 1 | 7 | |a Hecke-operatoren. |2 gtt |
| 650 | 7 | |a Représentations d'algèbres. |2 ram | |
| 650 | 7 | |a Hecke, Opérateurs de. |2 ram | |
| 650 | 0 | 7 | |a Affine Algebra. |2 swd |
| 650 | 0 | 7 | |a Hecke-Algebra. |2 swd |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Xi, Nanhua, 1963- |t Representations of affine Hecke algebras. |d Berlin ; New York : Springer-Verlag, ©1994 |z 3540583890 |w (DLC) 94022893 |w (OCoLC)30893288 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1587. | |
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