Details

Subject(s)

• Linear algebraic groups [Browse]
• Symmetry groups [Browse]
• Representations of groups [Browse]

Series

Lecture notes in mathematics (Springer-Verlag) ; 830. [More in this series]

Subseries of

Lecture Notes in Mathematics

Summary note

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 representation 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.

Notes

Previous ed.: 1980.

With

With an appendix on Schensted correspondence and Littelmann paths / by K. Erdmann, J.A. Green and M. Schocker.

Bibliographic references

Includes bibliographical references and index.

Source of description

Description based on print version record.

Language note

English

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.

Show 12 more Contents items

ISBN

• 1-280-74576-2
• 9786610745760
• 3-540-46959-1

OCLC

1287135908

Doi

• 10.1007/3-540-46944-3

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