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The Racah algebra and $\mathfrak{sl}_n$ (1910.11723v2)
Published 25 Oct 2019 in math.RT
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.
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