Algebraically Independent Generators for the Algebra of Invariant Differential Operators on $\mathrm{SL}_n(\mathbb R)/\mathrm{SO}_n(\mathbb R)$

Dominik Brennecken; Lorenzo Ciardo; Joachim Hilgert

Algebraically Independent Generators for the Algebra of Invariant Differential Operators on $\mathrm{SL}_n(\mathbb R)/\mathrm{SO}_n(\mathbb R)$

Representation Theory 2020-10-29 v2

Authors: Dominik Brennecken , Lorenzo Ciardo , Joachim Hilgert

Abstract

We provide an explicit set of algebraically independent generators for the algebra of invariant differential operators on the Riemannian symmetric space associated with $\SL_n(\R)$ .

Keywords

invariant differential operators riemannian symmetric space algebraically independent generators sl_n(r) so_n(r)

Cite

@article{arxiv.2008.07479,
  title  = {Algebraically Independent Generators for the Algebra of Invariant Differential Operators on $\mathrm{SL}_n(\mathbb R)/\mathrm{SO}_n(\mathbb R)$},
  author = {Dominik Brennecken and Lorenzo Ciardo and Joachim Hilgert},
  journal= {arXiv preprint arXiv:2008.07479},
  year   = {2020}
}

Comments

Arguments in Section 3 shortened. Final version, accepted for publication in Journal of Lie Theory

Algebraically Independent Generators for the Algebra of Invariant Differential Operators on $\mathrm{SL}_n(\mathbb R)/\mathrm{SO}_n(\mathbb R)$

Abstract

Keywords

Cite

Comments

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