LAUSR

The integral Schur-Weyl-Sergeev duality

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1 Published in 2022 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2022.107044

Abstract: Degenerating the quantum queer Schur superalgebra Qq(n, r;R) to the case q = 1, the queer Schur superalgebra Q(n, r) is obtained. In this article, we reconstruct the universal enveloping algebra U(qn) of the queer… read more here.

Keywords: sergeev duality; schur; schur weyl; weyl sergeev ... See more keywords

Schur–Weyl quasi-duality and (co)triangular Hopf quasigroups

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0 Published in 2020 at "Journal of Mathematical Physics"

DOI: 10.1063/5.0005803

Abstract: Schur–Weyl duality relates the representation theories of general linear and symmetric groups in defining characteristic and plays a central role in many parts of algebraic Lie theory. In this paper, we will introduce the notion… read more here.

Keywords: duality; weyl quasi; triangular hopf; quasi duality ... See more keywords

Schur–Weyl duality over commutative rings

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1 Published in 2018 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1513010

Abstract: Abstract The classical case of Schur–Weyl duality states that the actions of the group algebras of GLn and Sd on the dth-tensor power of a free module of finite rank centralize each other. We show… read more here.

Keywords: weyl duality; commutative rings; duality commutative; schur weyl ... See more keywords

Geometric Realization of Dynkin Quiver Type Quantum Affine Schur–Weyl Duality

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1 Published in 2018 at "International Mathematics Research Notices"

DOI: 10.1093/imrn/rny226

Abstract: For a Dynkin quiver $Q$ of type ADE and a sum $\beta$ of simple roots, we construct a bimodule over the quantum loop algebra and the quiver Hecke algebra of the corresponding type via equivariant… read more here.

Keywords: weyl duality; affine schur; quiver type; quantum affine ... See more keywords

Annular Khovanov homology and knotted Schur–Weyl representations

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0 Published in 2017 at "Compositio Mathematica"

DOI: 10.1112/s0010437x17007540

Abstract: Let $\mathbb{L}\subset A\times I$ be a link in a thickened annulus. We show that its sutured annular Khovanov homology carries an action of $\mathfrak{sl}_{2}(\wedge )$ , the exterior current algebra of $\mathfrak{sl}_{2}$ . When $\mathbb{L}$… read more here.

Keywords: homology knotted; annular khovanov; knotted schur; schur weyl ... See more keywords