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Twisted super Yangians of type AIII and their representations

Nov 27, 2023
44 pages
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Abstract: (arXiv)
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 Y(glm∣n)\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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