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arXiv · 1908.03934

The structured Gerstenhaber problem (III)

Clément de Seguins Pazzis
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Abstract

Let $b$ be a symmetric bilinear form on a finite-dimensional vector space over a field with characteristic $2$. Here, we determine the greatest possible dimension of a linear subspace of nilpotent $b$-symmetric or $b$-alternating endomorphisms of $V$, expressing it as a function of the dimension, the rank, the Witt index of $b$, and an additional invariant in a very special case.

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Clément de Seguins Pazzis. 2019-08-11. The structured Gerstenhaber problem (III). https://arxiv.org/abs/1908.03934

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