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The Resource Geometric representation theory and extended affine Lie algebras, Erhard Neher, Alistair Savage, Weiqiang Wang, editors

Geometric representation theory and extended affine Lie algebras, Erhard Neher, Alistair Savage, Weiqiang Wang, editors

Label
Geometric representation theory and extended affine Lie algebras
Title
Geometric representation theory and extended affine Lie algebras
Statement of responsibility
Erhard Neher, Alistair Savage, Weiqiang Wang, editors
Contributor
Subject
Language
eng
Member of
Cataloging source
DLC
Dewey number
512/.482
Illustrations
illustrations
Index
index present
LC call number
QA252.3
LC item number
.G46 2011
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
  • 1949-
  • 1970-
http://library.link/vocab/relatedWorkOrContributorName
  • Neher, Erhard
  • Savage, Alistair
  • Wang, Weiqiang
Series statement
Fields Institute communications
Series volume
59
http://library.link/vocab/subjectName
  • Representations of rings (Algebra)
  • Nonassociative rings
  • Representations of Lie algebras
  • Associative rings and algebras -- Representation theory of rings and algebras -- Representations of quivers and partially ordered sets
  • Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights)
  • Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Universal enveloping (super)algebras
  • Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations
  • Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Modular Lie (super)algebras
  • Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Infinite-dimensional Lie (super)algebras
  • Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
Label
Geometric representation theory and extended affine Lie algebras, Erhard Neher, Alistair Savage, Weiqiang Wang, editors
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • An equivalence of categories
  • 4.5.
  • Good Z-gradings in type A
  • 4.6.
  • W-algebras and independence of good gradings
  • 4.7.
  • Higher level Schur duality
  • 4.8.
  • W-(super) algebras in positive characteristic
  • 4.9.
  • Introduction
  • Further work and open problems
  • ch. 5
  • Extended Affine Lie Algebras -- An Introduction to Their Structure Theory
  • Erhard Neher
  • Introduction
  • 5.1.
  • Affine Lie algebras and some generalizations
  • 5.2.
  • Extended affine Lie algebras: Definition and first examples
  • 5.3.
  • 4.1.
  • The structure of the roots of an EALA
  • 5.4.
  • The core and centreless core of an EALA
  • 5.5.
  • The construction of all EALAs
  • Nilpotent orbits, Dynkin, and good Z-gradings
  • 4.2.
  • Definitions of W-algebras
  • 4.3.
  • Quantization of the Slodowy slices
  • 4.4.
  • 6.3.
  • Affine Lie algebras integrable representations and integral forms
  • 6.4.
  • Finite-dimensional modules for loop algebras and their generalizations
  • 6.5.
  • Weyl modules, restricted Kirillov-Reshetikhin and beyond
  • 6.6.
  • Koszul algebras, quivers, and highest weight categories
  • Ch. 6
  • Representations of Affine and Toroidal Lie Algebras
  • Vyjayanthi Chari
  • Introduction
  • 6.1.
  • Simple Lie algebras
  • 6.2.
  • Affine Lie algebras
Control code
670212555
Dimensions
27 cm
Extent
vii, 213 pages
Isbn
9780821852378
Isbn Type
(alk. paper)
Lccn
2010043432
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)670212555
Label
Geometric representation theory and extended affine Lie algebras, Erhard Neher, Alistair Savage, Weiqiang Wang, editors
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • An equivalence of categories
  • 4.5.
  • Good Z-gradings in type A
  • 4.6.
  • W-algebras and independence of good gradings
  • 4.7.
  • Higher level Schur duality
  • 4.8.
  • W-(super) algebras in positive characteristic
  • 4.9.
  • Introduction
  • Further work and open problems
  • ch. 5
  • Extended Affine Lie Algebras -- An Introduction to Their Structure Theory
  • Erhard Neher
  • Introduction
  • 5.1.
  • Affine Lie algebras and some generalizations
  • 5.2.
  • Extended affine Lie algebras: Definition and first examples
  • 5.3.
  • 4.1.
  • The structure of the roots of an EALA
  • 5.4.
  • The core and centreless core of an EALA
  • 5.5.
  • The construction of all EALAs
  • Nilpotent orbits, Dynkin, and good Z-gradings
  • 4.2.
  • Definitions of W-algebras
  • 4.3.
  • Quantization of the Slodowy slices
  • 4.4.
  • 6.3.
  • Affine Lie algebras integrable representations and integral forms
  • 6.4.
  • Finite-dimensional modules for loop algebras and their generalizations
  • 6.5.
  • Weyl modules, restricted Kirillov-Reshetikhin and beyond
  • 6.6.
  • Koszul algebras, quivers, and highest weight categories
  • Ch. 6
  • Representations of Affine and Toroidal Lie Algebras
  • Vyjayanthi Chari
  • Introduction
  • 6.1.
  • Simple Lie algebras
  • 6.2.
  • Affine Lie algebras
Control code
670212555
Dimensions
27 cm
Extent
vii, 213 pages
Isbn
9780821852378
Isbn Type
(alk. paper)
Lccn
2010043432
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)670212555

Library Locations

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      38.944377 -92.326537
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