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arxiv: 0905.2603 · v3 · submitted 2009-05-15 · 🧮 math.RT

Euler characters and super Jacobi polynomials

classification 🧮 math.RT
keywords superjacobipolynomialseulercertaincharactersformulafunctions
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We prove that Euler supercharacters for orthosymplectic Lie superalgebras can be obtained as a certain specialization of super Jacobi polynomials. A new version of Weyl type formula for super Schur functions and specialized super Jacobi polynomials play a key role in the proof.

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