Author

Dustin Baker

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Preprint Sep 2026

Reduction Algebras Involving Symplectic Lie Algebras

A complete presentation for the diagonal reduction algebra of $\mathfrak{gl}_n$ was found by Khoroshkin and Ogievetsky. In this paper we present a complete set of ordering relations for a reduction algebra $\mathcal{B}_n$ associated to $\mathfrak{gl}_n$ in a parabolic subalgebra of $\mathfrak{sp}_{2n}$. We also study i...

Dustin Baker · 0 citations