1.

Record Nr.

UNINA9910480452503321

Autore

Pi͡atet͡skiĭ-Shapiro I. I (Ilʹi͡a Iosifovich), <1929-2009, >

Titolo

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

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1983]

©1983

ISBN

0-8218-7602-3

0-8218-5019-9

Descrizione fisica

1 online resource (84 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; volume 16

Disciplina

512/.2

Soggetti

Linear algebraic groups

Representations of groups

Finite fields (Algebra)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Nota di contenuto

""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 IndGBÎ?""; ""10. The dimension of cuspidal representations""; ""11. The description of GL(2,K) by generators and relations""