# Diagonal reduction algebra for π¬π°π(1|2)

@article{Hartwig2022DiagonalRA, title={Diagonal reduction algebra for π¬π°π(1|2)}, author={Jonas Torbj{\"o}rn Hartwig and Dwight Anderson Williams II}, journal={Theoretical and Mathematical Physics}, year={2022} }

The problem of providing complete presentations of reduction algebras associated to a pair of Lie algebras (G, g) has previously been considered by Khoroshkin and Ogievetsky in the case of the diagonal reduction algebra for gl(n). In this paper we consider the diagonal reduction algebra of the pair of Lie superalgebras (osp(1|2) Γ osp(1|2), osp(1|2)) as a double coset space having an associative diamond product and give a complete presentation in terms of generators and relations. We alsoβ¦Β

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