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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)
Resource Information
The item Algebraic Groups and their Representations, edited by R.W. Carter, J. Saxl, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Algebraic Groups and their Representations, edited by R.W. Carter, J. Saxl, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 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
 Language
 eng
 Extent
 1 online resource (392 pages).
 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
 Isbn
 9780792352921
 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 June4 July 1997
 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
 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, 13892185
 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)
 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
 10.1007/9789401153089
 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)
 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
 10.1007/9789401153089
 Specific material designation
 remote
 System control number

 (OCoLC)840311212
 (OCoLC)ocn840311212
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