Tensor product decompositions and open orbits in multiple flag varieties
Representation Theory
2007-06-13 v5 Algebraic Geometry
Combinatorics
Abstract
For a connected semisimple algebraic group , we consider some special infinite series of tensor products of simple -modules whose -fixed point spaces are at most one-dimensional. We prove that their existence is closely related to the existence of open -orbits in multiple flag varieties and address the problem of classifying such series.
Cite
@article{arxiv.math/0609003,
title = {Tensor product decompositions and open orbits in multiple flag varieties},
author = {Vladimir L. Popov},
journal= {arXiv preprint arXiv:math/0609003},
year = {2007}
}
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