The Resource Algebraic Groups and their Representations, edited by R.W. Carter, J. Saxl, (electronic resource)

Algebraic Groups and their Representations, edited by R.W. Carter, J. Saxl, (electronic resource)

Label
Algebraic Groups and their Representations
Title
Algebraic Groups and their Representations
Statement of responsibility
edited by R.W. Carter, J. Saxl
Title variation
Proceedings of the NATO Advanced Study Institute on Modular Representations and Subgroup Structure of Algebraic Groups and Related Finite Groups, Cambridge, U.K., 23 June-4 July 1997
Creator
Contributor
Subject
Genre
Language
eng
Summary
This volume contains articles by 20 leading workers in the field of algebraic groups and related finite groups. Articles on representation theory are written by Andersen on tilting modules, Carter on canonical bases, Cline, Parshall and Scott on endomorphism algebras, James and Kleshchev on the symmetric group, Littelmann on the path model, Lusztig on homology bases, McNinch on semisimplicity in prime characteristic, Robinson on block theory, Scott on Lusztig's character formula, and Tanisaki on highest weight modules. Articles on subgroup structure are written by Seitz and Brundan on double cosets, Liebeck on exceptional groups, Saxl on subgroups containing special elements, and Guralnick on applications of subgroup structure. Steinberg gives a new, short proof of the isomorphism and isogeny theorems for reductive groups. Aschbacher discusses the classification of quasithin groups and Borovik the classification of groups of finite Morley rank. Audience: The book contains accounts of many recent advances and will interest research workers and students in the theory of algebraic groups and related areas of mathematics
Member of
Cataloging source
I9W
http://library.link/vocab/creatorName
Carter, R. W
Dewey number
512.55
Index
no index present
LC call number
QA252.3
Literary form
non fiction
Nature of contents
encyclopedias
http://library.link/vocab/relatedWorkOrContributorName
Saxl, J
Series statement
NATO ASI Series, Series C: Mathematical and Physical Sciences, 1389-2185
Series volume
517
http://library.link/vocab/subjectName
  • Mathematics
  • Group theory
  • Algebra
  • Topological groups
  • Algebra
  • Group theory
  • Mathematics
  • Topological groups
Label
Algebraic Groups and their Representations, edited by R.W. Carter, J. Saxl, (electronic resource)
Link
http://dx.doi.org/10.1007/978-94-011-5308-9
Instantiates
Publication
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Linear and nonlinear group actions, and the Newton Institute program -- Tilting modules for algebraic groups -- Semisimplicity in positive characteristic -- Homology bases arising from reductive groups over a finite field -- Highest weight modules associated to parabolic subgroups with commutative unipotent radicals -- Symmetric groups and Schur algebras -- Branching rules for symmetric groups and applications -- Endomorphism algebras and representation theory -- Representations of simple Lie algebras: modern variations on a classical theme -- The path model, the quantum Frobenius map and standard monomial theory -- Arithmetical properties of blocks -- The isomorphism and isogeny theorems for reductive algebraic groups -- Double cosets in algebraic groups -- Dense orbits and double cosets -- Subgroups of exceptional groups -- Overgroups of special elements in simple algebraic groups and finite groups of Lie type -- Some applications of subgroup structure to probabilistic generation and covers of curves -- Quasithin groups -- Tame groups of odd and even type
Dimensions
unknown
Extent
1 online resource (392 pages).
Form of item
online
Isbn
9780792352921
Isbn Type
(print)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-94-011-5308-9
Specific material designation
remote
System control number
  • (OCoLC)840311212
  • (OCoLC)ocn840311212
Label
Algebraic Groups and their Representations, edited by R.W. Carter, J. Saxl, (electronic resource)
Link
http://dx.doi.org/10.1007/978-94-011-5308-9
Publication
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Linear and nonlinear group actions, and the Newton Institute program -- Tilting modules for algebraic groups -- Semisimplicity in positive characteristic -- Homology bases arising from reductive groups over a finite field -- Highest weight modules associated to parabolic subgroups with commutative unipotent radicals -- Symmetric groups and Schur algebras -- Branching rules for symmetric groups and applications -- Endomorphism algebras and representation theory -- Representations of simple Lie algebras: modern variations on a classical theme -- The path model, the quantum Frobenius map and standard monomial theory -- Arithmetical properties of blocks -- The isomorphism and isogeny theorems for reductive algebraic groups -- Double cosets in algebraic groups -- Dense orbits and double cosets -- Subgroups of exceptional groups -- Overgroups of special elements in simple algebraic groups and finite groups of Lie type -- Some applications of subgroup structure to probabilistic generation and covers of curves -- Quasithin groups -- Tame groups of odd and even type
Dimensions
unknown
Extent
1 online resource (392 pages).
Form of item
online
Isbn
9780792352921
Isbn Type
(print)
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-94-011-5308-9
Specific material designation
remote
System control number
  • (OCoLC)840311212
  • (OCoLC)ocn840311212

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