2005.52: Standard tableaux and Klyachko's Theorem on Lie representations
2005.52: Marianne Johnson (2005) Standard tableaux and Klyachko's Theorem on Lie representations. Journal of Combinatorial Theory, Series A. ISSN 1749-9097
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DOI: 10.1016/j.jcta.2006.02.002
Abstract
We show that for all but two partitions $\lambda$ of $n >6$ there exists a standard tableau of shape $\lambda$ with major index coprime to $n$. In conjunction with a deep result of Kra{\'s}kiewicz and Weyman this provides a new purely combinatorial proof of Klyachko's famous theorem on Lie representations of the general linear group.
| Item Type: | Article |
|---|---|
| Additional Information: | The full article can be accessed from the journals webpage http://www.sciencedirect.com/science/journal/00973165 |
| Uncontrolled Keywords: | standard tableau, free Lie algebra, Lie representation |
| Subjects: | MSC 2000 > 05 Combinatorics MSC 2000 > 17 Nonassociative rings and algebras MSC 2000 > 20 Group theory and generalizations |
| MIMS number: | 2005.52 |
| Deposited By: | Dr Marianne Johnson |
| Deposited On: | 05 April 2006 |
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