Tensor product decompositions and open orbits in multiple flag varieties

Vladimir L. Popov

doi:10.1016/j.jalgebra.2006.11.042

Tensor product decompositions and open orbits in multiple flag varieties

表示论 2007-06-13 v5 代数几何组合数学

作者: Vladimir L. Popov

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摘要

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.

关键词

tensor product tensor categories nilpotent orbits

引用

@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}
}

备注

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

Tensor product decompositions and open orbits in multiple flag varieties

摘要

关键词

引用

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