{"product_id":"9783540583899","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eXi, Nanhua\u003c\/h2\u003e \u003cp\u003eKazhdan and Lusztig classified the simple modules of an affine Hecke algebra H\u003ci\u003eq\u003c\/i\u003e (\u003ci\u003eq\u003c\/i\u003e E C*) provided that \u003ci\u003eq\u003c\/i\u003e is not a root of 1 (Invent. Math. 1987). Ginzburg had some very interesting work on affine Hecke algebras. Combining these results simple H\u003ci\u003eq\u003c\/i\u003e-modules can be classified provided that the order of \u003ci\u003eq\u003c\/i\u003e is not too small. These Lecture Notes of N. Xi show that the classification of simple H\u003ci\u003eq\u003c\/i\u003e-modules is essentially different from general cases when \u003ci\u003eq\u003c\/i\u003e 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\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1994-09-26\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540583899\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/BFb0074130\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 144\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369778569356,"sku":"9783540583899","price":35.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540583899.jpg?v=1772802641","url":"https:\/\/lateknightbooks.com\/products\/9783540583899","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}