000 | 03351nam a22005295i 4500 | ||
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001 | 978-3-540-48682-4 | ||
003 | DE-He213 | ||
005 | 20190213151319.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1994 gw | s |||| 0|eng d | ||
020 |
_a9783540486824 _9978-3-540-48682-4 |
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024 | 7 |
_a10.1007/BFb0074130 _2doi |
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050 | 4 | _aQA252.3 | |
050 | 4 | _aQA387 | |
072 | 7 |
_aPBG _2bicssc |
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_aMAT014000 _2bisacsh |
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_aPBG _2thema |
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082 | 0 | 4 |
_a512.55 _223 |
082 | 0 | 4 |
_a512.482 _223 |
100 | 1 |
_aXi, Nanhua. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aRepresentations of Affine Hecke Algebras _h[electronic resource] / _cby Nanhua Xi. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1994. |
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300 |
_aVIII, 144 p. _bonline resource. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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_aMathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ; _v1587 |
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505 | 0 | _aHecke 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. | |
520 | _aKazhdan 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. | ||
650 | 0 | _aTopological Groups. | |
650 | 0 | _aGroup theory. | |
650 | 0 | _aK-theory. | |
650 | 1 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
650 | 2 | 4 |
_aGroup Theory and Generalizations. _0http://scigraph.springernature.com/things/product-market-codes/M11078 |
650 | 2 | 4 |
_aK-Theory. _0http://scigraph.springernature.com/things/product-market-codes/M11086 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662186411 |
776 | 0 | 8 |
_iPrinted edition: _z9783540583899 |
830 | 0 |
_aMathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ; _v1587 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0074130 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10243 _d10243 |