CURRENTS ON GRASSMANN ALGEBRAS

Authors
COQUEREAUX R RAGOUCY E
Citation
R. Coquereaux et E. Ragoucy, CURRENTS ON GRASSMANN ALGEBRAS, Journal of geometry and physics, 15(4), 1995, pp. 333-352
Citations number
10
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Journal of geometry and physics → ACNP
ISSN journal
03930440
Volume
15
Issue
4
Year of publication
1995
Pages
333 - 352
Database
ISI
SICI code
0393-0440(1995)15:4<333:COGA>2.0.ZU;2-Z
Abstract
We define currents on a Grassmann algebra Gr(N) with N generators as d istributions on its exterior algebra (using the symmetric wedge produc t). We interpret the currents in terms of Z(2)-graded Hochschild cohom ology and closed currents in terms of cyclic cocycles (they are partic ular multilinear forms on Gr(N)). An explicit construction of the vect or space of closed currents of degree p on Gr(N) is given by using Ber ezin integration.