상세정보
Export to Refworks부가기능
A Kazhdan-Lusztig Algorithm for Whittaker Modules
상세 프로파일
| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | A Kazhdan-Lusztig Algorithm for Whittaker Modules. |
| 개인저자 | Romanov, Anna. |
| 단체저자명 | The University of Utah. Mathematics. |
| 발행사항 | [S.l.]: The University of Utah., 2018. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2018. |
| 형태사항 | 115 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-04B. Dissertation Abstract International |
| ISBN | 9781088326183 |
| 학위논문주기 | Thesis (Ph.D.)--The University of Utah, 2018. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-04, Section: B.
Advisor: Milicic, Dragan. |
| 이용제한사항 | This item must not be sold to any third party vendors. |
| 요약 | This dissertation develops the structure theory of the category Whittaker modules for a complex semisimple Lie algebra. We establish a character theory that distinguishes isomorphism classes of Whittaker modules in the Grothendieck group of the category, then use the localization functor of Beilinson and Bernstein to realize Whittaker modules geometrically as certain twisted D-modules on the associated flag variety (so called "twisted Harish-Chandra sheaves"). The main result of this document is an algorithm for computing the multiplicities of irreducible Whittaker modules in the composition series of standard Whittaker modules, which are generalizations of Verma modules. This algorithm establishes that the multiplicities are determined by a collection of polynomials we refer to as Whittaker Kazhdan--Lusztig polynomials. |
| 일반주제명 | Mathematics. Polynomials. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
