## Combinatorial representation theory (1999)

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Venue: | in New Perspectives in Algebraic Combinatorics (Berkeley, CA, 1996–97), MSRI Publ. 38 |

Citations: | 13 - 0 self |

### BibTeX

@INPROCEEDINGS{Barcelo99combinatorialrepresentation,

author = {Hélène Barcelo and Arun Ram},

title = {Combinatorial representation theory},

booktitle = {in New Perspectives in Algebraic Combinatorics (Berkeley, CA, 1996–97), MSRI Publ. 38},

year = {1999},

pages = {23--90},

publisher = {University Press}

}

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### Abstract

Abstract. We survey the field of combinatorial representation theory, describe the main results and main questions and give an update of its current status. Answers to the main questions are given in Part I for the fundamental structures, Sn and GL(n, �), and later for certain generalizations, when known. Background material and more specialized results are given in a series of appendices. We give a personal view of the field while remaining aware that there is much important and beautiful work that we have been unable to mention.