1.

Record Nr.

UNINA9910155152103321

Autore

Benson D. J (David J.), <1955->

Titolo

Representations of elementary abelian p-groups and vector bundles / / David J. Benson, University of Aberdeen

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2017

ISBN

1-316-80054-7

1-316-80565-4

1-316-80492-5

1-316-79569-1

1-316-80638-3

1-316-80711-8

1-316-80930-7

Descrizione fisica

1 online resource (xvii, 328 pages) : digital, PDF file(s)

Collana

Cambridge tracts in mathematics ; ; 208

Disciplina

512/.25

Soggetti

Abelian p-groups

Abelian groups

Vector bundles

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 31 Jan 2017).

Nota di bibliografia

Includes bibliographical references and index

Sommario/riassunto

Questions about modular representation theory of finite groups can often be reduced to elementary abelian subgroups. This is the first book to offer a detailed study of the representation theory of elementary abelian groups, bringing together information from many papers and journals, as well as unpublished research. Special attention is given to recent work on modules of constant Jordan type, and the methods involve producing and examining vector bundles on projective space and their Chern classes. Extensive background material is provided, which will help the reader to understand vector bundles and their Chern classes from an algebraic point of view, and to apply this to modular representation theory of elementary abelian groups. The final section, addressing problems and directions for future research, will also help to stimulate further developments in the subject. With no



similar books on the market, this will be an invaluable resource for graduate students and researchers working in representation theory.