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Cohomology of Infinite Dimensional Lie Algebras
Student-Run Discrete Math Seminar| Speaker: | Sonny Mohammadzadeh, UC Davis |
| Location: | 1147 MSB |
| Start time: | Tue, May 29 2007, 1:10PM |
The study of finite-dimensional Lie Algebras has powerful classification theorems that allow one to "recognize" any finite-dimensional Lie Algebra. The infinite-dimensional setting is markedly different in that classification theorems either do not exist or or are burdened by strong technical restrictions. We will discuss the most well known examples of infinite-dimensional Lie Algebras and their sub-algebras. We will then see the definitions of homology and cohomology of infinite-dimensional Lie Algebras and discuss the motivation for the definitions. Finally we will see some principal algebraic interpretations of the cohomology.