Currents on Grassmann algebras

Details Currents on Grassmann algebras Currents on Grassmann algebras

1993-10-22

arxiv.org/abs/hep-th/9310147v1

J.Geom.Phys. 15 (1995) 333-352

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, CPT-93/P.2935 and ENSLAPP-440/93

Scientific paper

We define currents on a Grassmann algebra $Gr(N)$ with $N$ generators as distributions on its exterior algebra (using the symmetric wedge product). We interpret the currents in terms of ${\Z}_2$-graded Hochschild cohomology and closed currents in terms of cyclic cocycles (they are particular multilinear forms on $Gr(N)$). An explicit construction of the vector space of closed currents of degree $p$ on $Gr(N)$ is given by using Berezin integration.

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