Complex representations of GL(2,K) for finite fields K

Complex representations of GL(2,K) for finite fields K / Ilya Piatetski-Shapiro.

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Bibliographic Details
Other Authors: Piatetski-Shapiro, I. I. (Ilya Iosifovich), 1929-2009
Format: eBook
Language:English
Published: Providence, R.I. : American Mathematical Society, ©1983.
Series:Contemporary mathematics (American Mathematical Society) ; v. 16.
Subjects:
Linear algebraic groups.
Representations of groups.
Finite fields (Algebra)
Linear algebraic groups
Representations of groups
Online Access:Click for online access
Table of Contents:
  • Introduction
  • Chapter 1. Preliminaries: Representation Theory
  • the general linear group
  • 1. Linear representations of finite groups
  • 2. Induced representations
  • 3. The Schur algebra
  • 4. The group GL(2,K)
  • 5. The conjugacy classes of GL(2,K)
  • Chapter 2. The representations of GL(2,K)
  • 6. The representations of P
  • 7. The representations of B
  • 8. Inducing characters from B to G
  • 9. The Schur algebra of IndGBo
  • 10. The dimension of cuspidal representations
  • 11. The description of GL(2,K) by generators and relations
  • 12. Non-decomposable characters of Lx.

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