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arXiv:1109.5996 [math.RT]AbstractReferencesReviewsResources

A Study of the representations supported by the orbit closure of the determinant

Shrawan Kumar

Published 2011-09-27, updated 2012-10-15Version 2

We show the existence of a large family of representations supported by the orbit closure of the determinant. However, the validity of our result is based on the validity of the celebrated `Latin Square Conjecture' due to Alon-Tarsi or more precisely on the validity of an equivalent `column Latin Square Conjecture' due to Huang-Rota.

Comments: 23 pages
Categories: math.RT, math.AG
Subjects: 14L30, 14L24, 14R20, 20G05, 22E46, 68W30
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