2012 / March Volume 7 No.1
Lectures On Spin Representation Theory Of Symmetric Groups
| Published Date |
2012 / March
|
|---|---|
| Title | Lectures On Spin Representation Theory Of Symmetric Groups |
| Author | |
| Keyword | |
| Download | |
| Pagination | 91-164 |
| Abstract | The representation
theory of the symmetric groups is intimately related to geometry,
algebraic combinatorics, and Lie theory. The spin representation
theory of the symmetric groups was originally developed by Schur. In
these lecture notes, we present a coherent account of the spin
counterparts of several classical constructions such as the
Frobenius characteristic map, Schur duality, the coinvariant
algebra, Kostka polynomials, and Young's seminormal form.
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| AMS Subject Classification |
20C25, 20C30
|
| Received |
2011-08-17
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| Accepted |
2011-08-25
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