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arXiv · 1509.06331

Representations of spin quiver Hecke algebras for orthosymplectic Lie superalgebras

Konstantina Christodoulopoulou·Kyu-Hwan Lee
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Abstract

We construct all the irreducible representations of spin quiver Hecke algebras for orthosymplectic Lie superalgebras $osp(1|2n),$ and show that their highest weights are given by the dominant words. We use the dominant Lyndon words to construct the cuspidal modules and show that the irreducible representations are the simple heads of standard representations constructed by induction from the cuspidal modules.

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BibTeXRIS

Konstantina Christodoulopoulou, Kyu-Hwan Lee. 2015-09-21. Representations of spin quiver Hecke algebras for orthosymplectic Lie superalgebras. https://arxiv.org/abs/1509.06331

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