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arxiv: math/0504155 · v4 · submitted 2005-04-07 · 🧮 math.QA · math.RT

Braided Symmetric and Exterior Algebras

Arkady Berenstein , Sebastian Zwicknagl This is my paper
classification 🧮 math.QA math.RT
keywords braidedalgebrasexteriorsymmetricalgebascategoriescategoryclassical
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We introduce and study symmetric and exterior algebras in braided monoidal categories such as the category O for quantum groups. We relate our braided symmetric algebras and braided exterior algebas with their classical counterparts.

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  1. On a symplectic quantum Howe duality

    math.RT 2023-03 unverdicted novelty 7.0

    Proves nonsemisimple quantum Howe duality for Sp(2n) and SL(2) on exterior algebra of type C, with character formulas and canonical bases.