Varieties of Representations of Finitely Generated Groups is popular PDF and ePub book, written by Alexander Lubotzky in 1985, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Varieties of Representations of Finitely Generated Groups can be Read Online from any device for your convenience.
Varieties of Representations of Finitely Generated Groups Book PDF Summary
The n-dimensional representations, over an algebraically closed characteristic zero field k, of a finitely generated group are parameterized by an affine algebraic variety over k. The tangent spaces of this variety are subspaces of spaces of one-cocycles and thus the geometry of the variety is locally related to the cohomology of the group. The cohomology is also related to the prounipotent radical of the proalgebraic hull of the group. This paper exploits these two relations to compute dimensions of representation varieties, especially for nilpotent groups and their generalizations. It also presents the foundations of the theory of representation varieties in an expository, self-contained manner.
Detail Book of Varieties of Representations of Finitely Generated Groups PDF
- Author : Alexander Lubotzky
- Release : 20 September 1985
- Publisher : American Mathematical Soc.
- ISBN : 9780821823378
- Genre : Mathematics
- Total Page : 134 pages
- Language : English
- PDF File Size : 16,5 Mb
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