The Resource Polynomial Representations of GL_n : with an Appendix on Schensted Correspondence and Littelmann Paths, by James A. Green, (electronic resource)

Polynomial Representations of GL_n : with an Appendix on Schensted Correspondence and Littelmann Paths, by James A. Green, (electronic resource)

Label
Polynomial Representations of GL_n : with an Appendix on Schensted Correspondence and Littelmann Paths
Title
Polynomial Representations of GL_n
Title remainder
with an Appendix on Schensted Correspondence and Littelmann Paths
Statement of responsibility
by James A. Green
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
The first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GLn. This classic account of matrix representations, the Schur algebra, the modular representations of GLn, and connections with symmetric groups, has been the basis of much research in representation theory. The second half is an Appendix, and can be read independently of the first. It is an account of the Littelmann path model for the case gln. In this case, Littelmann's 'paths' become 'words', and so the Appendix works with the combinatorics on words. This leads to the repesentation theory of the 'Littelmann algebra', which is a close analogue of the Schur algebra. The treatment is self- contained; in particular complete proofs are given of classical theorems of Schensted and Knuth
Member of
Is Subseries of
http://library.link/vocab/creatorName
Green, James A
Dewey number
512.5
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
RF4fMIJQBMw
Language note
English
LC call number
QA174-183
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Lecture Notes in Mathematics,
Series volume
830
http://library.link/vocab/subjectName
  • Group theory
  • Algebra
  • Combinatorics
  • Mathematics
  • Group Theory and Generalizations
  • Associative Rings and Algebras
  • Non-associative Rings and Algebras
  • Combinatorics
  • Real Functions
Label
Polynomial Representations of GL_n : with an Appendix on Schensted Correspondence and Littelmann Paths, by James A. Green, (electronic resource)
Instantiates
Publication
Note
  • With an appendix on Schensted correspondence and Littelmann paths / by K. Erdmann, J.A. Green and M. Schocker.
  • Previous ed.: 1980
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Preface to the second edition -- J. A. Green: Polynomial representations of GLn: 1.Introduction -- 2.Polynomial representations of GL_n(K): The Schur algebra -- 3.Weights and characters -- 4.The module D_{\lambda, K} -- 5.The Carter-Lusztig modules V_{\lambda, K} -- 6.Representation theory of the symmetric group -- Appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker: A. Introduction -- B. The Schensted process -- C. Schensted and Littelmann -- D. Theorem A and some of its consequences -- E. Tables -- Index of Symbols -- References -- Index
Dimensions
unknown
Edition
2nd corrected and augmented edition.
Extent
1 online resource (166 p.)
Form of item
online
Isbn
9783540469599
Media category
computer
Media type code
  • c
Other control number
10.1007/3-540-46944-3
Specific material designation
remote
System control number
  • (CKB)1000000000282907
  • (EBL)3036533
  • (SSID)ssj0000224347
  • (PQKBManifestationID)11210496
  • (PQKBTitleCode)TC0000224347
  • (PQKBWorkID)10206200
  • (PQKB)10348990
  • (DE-He213)978-3-540-46959-9
  • (MiAaPQ)EBC3036533
  • (EXLCZ)991000000000282907
Label
Polynomial Representations of GL_n : with an Appendix on Schensted Correspondence and Littelmann Paths, by James A. Green, (electronic resource)
Publication
Note
  • With an appendix on Schensted correspondence and Littelmann paths / by K. Erdmann, J.A. Green and M. Schocker.
  • Previous ed.: 1980
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Preface to the second edition -- J. A. Green: Polynomial representations of GLn: 1.Introduction -- 2.Polynomial representations of GL_n(K): The Schur algebra -- 3.Weights and characters -- 4.The module D_{\lambda, K} -- 5.The Carter-Lusztig modules V_{\lambda, K} -- 6.Representation theory of the symmetric group -- Appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J. A. Green and M. Schocker: A. Introduction -- B. The Schensted process -- C. Schensted and Littelmann -- D. Theorem A and some of its consequences -- E. Tables -- Index of Symbols -- References -- Index
Dimensions
unknown
Edition
2nd corrected and augmented edition.
Extent
1 online resource (166 p.)
Form of item
online
Isbn
9783540469599
Media category
computer
Media type code
  • c
Other control number
10.1007/3-540-46944-3
Specific material designation
remote
System control number
  • (CKB)1000000000282907
  • (EBL)3036533
  • (SSID)ssj0000224347
  • (PQKBManifestationID)11210496
  • (PQKBTitleCode)TC0000224347
  • (PQKBWorkID)10206200
  • (PQKB)10348990
  • (DE-He213)978-3-540-46959-9
  • (MiAaPQ)EBC3036533
  • (EXLCZ)991000000000282907

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