arXiv:math/0609003 Abstract

arXiv:math/0609003 [math.RT]Abstract References Reviews Resources

Tensor product decompositions and open orbits in multiple flag varieties

Published 2006-08-31, updated 2006-12-14Version 5

For a connected semisimple algebraic group $G$, we consider some special infinite series of tensor products of simple $G$-modules whose $G$-fixed point spaces are at most one-dimensional. We prove that their existence is closely related to the existence of open $G$-orbits in multiple flag varieties and address the problem of classifying such series.

Comments: 23 pages. Footnote on upper bounds of separation indices of root systems is added (p. 15). In Example 11 some recent results are mentioned and new references are added

Journal: J. Algebra, Vol. 313 (2007), 392-416

DOI: 10.1016/j.jalgebra.2006.11.042

Categories: math.RT, math.AG, math.CO

Subjects: 20G05, 14L30

Keywords: multiple flag varieties, tensor product decompositions, open orbits, special infinite series, connected semisimple algebraic group

Tags: journal article

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