15 citations · 55 across the 14 of their papers we have counts for
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Adjoints in symmetric squares of Lie algebra representations
Bruno Le Floch, Ilia Smilga
*Caveat: we learned post-factum that most of these results are not novel. We are keeping this paper for continuity reasons.* Given finite-dimensional complex representations an…
Action of on : the special case of
Ilia Smilga
In this note, we present an algorithm that allows to answer any individual instance of the following question. Let be a semisimple real Lie group, and an irred…
Action of on for orthogonal and exceptional groups
Ilia Smilga
In this note, we present some results that partially answer the following question. Let be a simple real Lie group; what is the set of representations of in which the l…
Representations having vectors fixed by a Levi subgroup
Ilia Smilga
For any semisimple real Lie algebra , we classify the representations of that have at least one nonzero vector on which the centr…
Action of Weyl group on zero weight space
Bruno Le Floch, Ilia Smilga
For any simple complex Lie group we classify irreducible finite-dimensional representations for which the longest element of the Weyl group acts nontrivially on the zero…