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arXiv · 0704.1888

N-homogeneous superalgebras

Phung Ho Hai·Benoit Kriegk·Martin Lorenz
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Abstract

We develop the theory of N-homogeneous algebras in a super setting, with particular emphasis on the Koszul property. To any Hecke operator on a vector superspace, we associate certain superalgebras and generalizing the ordinary symmetric and Grassmann algebra, respectively. We prove that these algebras are N-Koszul. For the special case where the Hecke operator is the ordinary supersymmetry, we derive an $N$-generalized super-version of MacMahon's classical "master theorem".

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Phung Ho Hai, Benoit Kriegk, Martin Lorenz. 2007-06-04. N-homogeneous superalgebras. https://arxiv.org/abs/0704.1888

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