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Enumerative Combinatorics by Sergey Fomin, Richard P. Stanley

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Chapter 7: Appendix 2

The Characters of GL (n, Image)

In this appendix we state without proof the fundamental connection between Schur functions and the characters of the general linear group GL(n, Image). By definition, GL(n, Image) is the group of all invertible n × n matrices with complex entries (under the operation of matrix multiplication). If V is an n-dimensional complex vector space, then after choosing an ordered basis for V we can identify GL(n, ) with ...

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