Bookcover of Exceptional representations of simple algebraic groups
Booktitle:

Exceptional representations of simple algebraic groups

in prime characteristic

LAP LAMBERT Academic Publishing (2014-11-19 )

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ISBN-13:

978-3-659-61808-6

ISBN-10:
365961808X
EAN:
9783659618086
Book language:
English
Blurb/Shorttext:
Let G be a simply connected simple algebraic group over an algebraically closed field K of positive characteristic p, with root system R and g=L(G) be its restricted Lie algebra. Let V be a finite dimensional g-module over K. For any point v in V, the isotropy subgroup of v in G and the isotropy subalgebra of v in g are defined. A restricted g-module V is called exceptional if for each v in V, its isotropy subalgebra contains a non-central element. This book presents a classification of irreducible exceptional g-modules. A necessary condition for a g-module to be exceptional is found and a complete classification of modules over groups of simple algebraic groups of exceptional type and of classical type A is obtained. For modules over groups of classical types B, C and D, the general problem is reduced to a short list of unclassified modules. The classification of exceptional modules is expected to have applications in modular invariant theory and in the classification of modular simple Lie superalgebras.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Marinês Guerreiro
Number of pages:
168
Published on:
2014-11-19
Stock:
Available
Category:
Mathematics
Price:
71.90 €
Keywords:
Exceptional representations, prime characteristic, Algebraic groups, Lie algebras

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