N-homogeneous superalgebras
Benoit Kriegk, Martin Lorenz, Phùng Hô Hai
Number | 7 |
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Author | Phùng Hô Hai |
Year | 2007 |
We develop the theory of N-homogeneous algebras in a super setting,
with particular emphasis on the Koszul property. To any Hecke operator R
on a vector superspace,
we associate certain superalgebras SR,N and ΛR,N
generalizing the ordinary symmetric and Grassmann algebra,
respectively. We prove that these algebras are N-Koszul. For the special
case where R is the ordinary supersymmetry, we derive an N-generalized
super-version of MacMahon’s classical “master theorem”.
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