WIT Press


MATHEMATICA-aided Study Of Lie Algebras And Their Cohomology - From Supergravity To Ballbearings And Magnetic Hydrodynamics

Price

Free (open access)

Paper DOI

10.2495/IMS970251

Volume

15

Pages

8

Published

1997

Size

815 kb

Author(s)

P. Grozman & D. Leites

Abstract

We describe applications of a MATHEMATICA-based package for the study of Lie algebras and their cohomology such as (1) the possibility to write Su- pergravity Equations for any TV-extended Minkowski superspace and to find out the possible models for these super spaces; (2) the possibility of study- ing stability of nonholonomic systems (ballbearings, gyroscopes, electro- mechanical devices like a rotor collector with a gliding contact; waves in plasma, etc.); (3) description of the analogue of the curvature tensor for nonlinear nonholonomic constraints and the fields of solids or their sur- faces, e.g., cones, a

Keywords