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arXiv · 2311.16373

Twisted super Yangians of type AIII and their representations

Kang Lu
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Abstract

We study the super analogue of the Molev-Ragoucy reflection algebras, which we call twisted super Yangians of type AIII, and classify their finite-dimensional irreducible representations under certain conditions. These superalgebras are coideal subalgebras of the super Yangian $\mathscr{Y}(\mathfrak{gl}_{m|n})$ and are associated with symmetric pairs of type AIII in Cartan's classification. We establish the Schur-Weyl type duality between degenerate affine Hecke algebras of type BC and twisted super Yangians.

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BibTeXRIS

Kang Lu. 2023-11-27. Twisted super Yangians of type AIII and their representations. https://doi.org/10.1016/j.jalgebra.2025.04.008

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