The Racah algebra and $\mathfrak{sl}_n$

Hendrik De Bie; Wouter van de Vijver; Luc Vinet

The Racah algebra and $\mathfrak{sl}_n$

Representation Theory 2019-11-19 v2

Authors: Hendrik De Bie , Wouter van de Vijver , Luc Vinet

Abstract

We conjecture the existence of an embedding of the Racah algebra into the universal enveloping algebra of $\mathfrak{sl}_n$ . Evidence of this conjecture is offered by realizing both algebras using differential operators and giving an embedding in this realization.

Keywords

racah algebra sl_n universal enveloping algebra differential operators embedding conjecture

Cite

@article{arxiv.1910.11723,
  title  = {The Racah algebra and $\mathfrak{sl}_n$},
  author = {Hendrik De Bie and Wouter van de Vijver and Luc Vinet},
  journal= {arXiv preprint arXiv:1910.11723},
  year   = {2019}
}

Comments

Contribution to the proceedings of '11th International Symposium on Quantum Theory and Symmetries' held at Montreal, Canada, July 2019. 7 pages

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