Unipotent Invariant Matrices
Algebraic Geometry
2013-02-26 v3 Combinatorics
Abstract
We describe the variety of fixed points of a unipotent operator acting on the space of matrices. We compute the determinant and the rank of a generic (symmetric, or anti-symmetric) matrix in the fixed variety, yielding information about the generic singular locus of the corresponding bilinear form.
Cite
@article{arxiv.1010.2187,
title = {Unipotent Invariant Matrices},
author = {Mahir Bilen Can and Roger Howe and Michael Joyce},
journal= {arXiv preprint arXiv:1010.2187},
year = {2013}
}
Comments
24 pages; final version, to appear in Linear Algebra and its Applications