An introduction to some novel applications of Lie algebra cohomology and physics

Details An introduction to some novel applications of Lie algebra cohomology and physics An introduction to some novel applications of Lie algebra cohomology and physics

1998-03-30

arxiv.org/abs/physics/9803046v1

Rev.R.Acad.Cien.Exactas Fis.Nat.Ser.A Mat.95:225-248,2001

Physics

Mathematical Physics

28 pages; latex2e file. To appear in the Proceedings of the VI Fall Workshop on Geometry and physics (Salamanca, September 199

Scientific paper

After a self-contained introduction to Lie algebra cohomology, we present some recent applications in mathematics and in physics. Contents: 1. Preliminaries: L_X, i_X, d 2. Elementary differential geometry on Lie groups 3. Lie algebra cohomology: a brief introduction 4. Symmetric polynomials and higher order cocycles 5. Higher order simple and SH Lie algebras 6. Higher order generalized Poisson structures 7. Relative cohomology, coset spaces and effective WZW actions

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