Polynomial Representations of GL n

• Κύριοι συγγραφείς: Green, James A. (Συγγραφέας), Schocker, Manfred (Συγγραφέας), Erdmann, Karin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
• Έκδοση: 2nd corrected and augmented edition.
• Σειρά: Lecture Notes in Mathematics, 830
• Θέματα: Mathematics.; Associative rings.; Rings (Algebra).; Group theory.; Nonassociative rings.; Functions of real variables.; Combinatorics.; Group Theory and Generalizations.; Associative Rings and Algebras.; Non-associative Rings and Algebras.; Real Functions.

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 i...

Πίνακας περιεχομένων:

• 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.