%0 Journal Article
%T N-homogeneous superalgebras
%A Phung Ho Hai
%A Benoit Kriegk
%A Martin Lorenz
%J Mathematics
%D 2007
%I arXiv
%X 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".
%U http://arxiv.org/abs/0704.1888v2