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Fields of $U$-invariants of matrix tuples

Representation Theory 2024-04-09 v1

Abstract

The general linear group GL(n) acts on the direct sum of mm copies of Mat(n) by the adjoint action. The action of GL(n) induces the action of the unitriangular subgroup U. We present the system of free generators of the field of U-invariants.

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Cite

@article{arxiv.2404.04944,
  title  = {Fields of $U$-invariants of matrix tuples},
  author = {A. N. Panov},
  journal= {arXiv preprint arXiv:2404.04944},
  year   = {2024}
}

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8 pages