English

A combinatorial identity for the Jacobian of $t$-shifted invariants

Representation Theory 2020-06-17 v1

Abstract

Let g\mathfrak g be a simple Lie algebra. There are classical formulas for the Jacobians of the generating invariants of the Weyl group of g\mathfrak g and of the images under the Harich-Chandra projection of the generators of ZU(g)ZU(\mathfrak g). We present a modification of these formulas related to Takiff Lie algebras.

Keywords

Cite

@article{arxiv.1806.09661,
  title  = {A combinatorial identity for the Jacobian of $t$-shifted invariants},
  author = {Oksana Yakimova},
  journal= {arXiv preprint arXiv:1806.09661},
  year   = {2020}
}