dorsal/arxiv
View SchemaAn introduction to some novel applications of Lie algebra cohomology and physics
| Authors | J. A. de Azcarraga, J. M. Izquierdo, J. C. Perez Bueno |
|---|---|
| Categories | |
| ArXiv ID | physics/9803046 |
| URL | https://arxiv.org/abs/physics/9803046 |
| Journal | Rev.R.Acad.Cien.Exactas Fis.Nat.Ser.A Mat.95:225-248,2001 |
Abstract
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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"abstract": "After a self-contained introduction to Lie algebra cohomology, we present\nsome recent applications in mathematics and in physics. Contents:\n 1. Preliminaries: L_X, i_X, d\n 2. Elementary differential geometry on Lie groups\n 3. Lie algebra cohomology: a brief introduction\n 4. Symmetric polynomials and higher order cocycles\n 5. Higher order simple and SH Lie algebras\n 6. Higher order generalized Poisson structures\n 7. Relative cohomology, coset spaces and effective WZW actions",
"arxiv_id": "physics/9803046",
"authors": [
"J. A. de Azcarraga",
"J. M. Izquierdo",
"J. C. Perez Bueno"
],
"categories": [
"math-ph",
"hep-th",
"math.DG",
"math.MP"
],
"journal_ref": "Rev.R.Acad.Cien.Exactas Fis.Nat.Ser.A Mat.95:225-248,2001",
"title": "An introduction to some novel applications of Lie algebra cohomology and physics",
"url": "https://arxiv.org/abs/physics/9803046"
},
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