MATHEMATICA-aided Study Of Lie Algebras And Their Cohomology - From Supergravity To Ballbearings And Magnetic Hydrodynamics
Price
Free (open access)
Transaction
Volume
15
Pages
8
Published
1997
Size
815 kb
Paper DOI
10.2495/IMS970251
Copyright
WIT Press
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
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