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arXiv:1811.05236 [math.RT]AbstractReferencesReviewsResources

Applications of Littlewood-Richardson tableaux to computing generic extension of semisimple invariant subspaces of nilpotent linear operators

Mariusz Kaniecki, Justyna Kosakowska

Published 2018-11-13Version 1

The main aim of the paper is to present a~combinatorial algorithm that, applying Littlewood-Richardson tableaux with entries equal to $1$, computes generic extensions of semisimple invariant subspaces of nilpotent linear operators. Moreover, we discuss geometric properties of generic extensions and their connections with combinatorics.

Categories: math.RT, math.CO
Subjects: 16G20, 47A15, 05A17, 16Z05
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