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

 eng
 eng
 Edition
 2nd corrected and augmented edition.
 Extent
 1 online resource (166 p.)
 Note

 With an appendix on Schensted correspondence and Littelmann paths / by K. Erdmann, J.A. Green and M. Schocker.
 Previous ed.: 1980
 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 CarterLusztig 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
 Isbn
 9783540469599
 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
 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
 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
 QA174183
 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
 Nonassociative 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)
 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 CarterLusztig 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
 10.1007/3540469443
 Specific material designation
 remote
 System control number

 (CKB)1000000000282907
 (EBL)3036533
 (SSID)ssj0000224347
 (PQKBManifestationID)11210496
 (PQKBTitleCode)TC0000224347
 (PQKBWorkID)10206200
 (PQKB)10348990
 (DEHe213)9783540469599
 (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)
 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 CarterLusztig 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
 10.1007/3540469443
 Specific material designation
 remote
 System control number

 (CKB)1000000000282907
 (EBL)3036533
 (SSID)ssj0000224347
 (PQKBManifestationID)11210496
 (PQKBTitleCode)TC0000224347
 (PQKBWorkID)10206200
 (PQKB)10348990
 (DEHe213)9783540469599
 (MiAaPQ)EBC3036533
 (EXLCZ)991000000000282907
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