Tensor product decompositions and open orbits in multiple flag varieties
Abstract
Description
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.
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
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