Chevalley Supergroups is popular PDF and ePub book, written by Rita Fioresi in 2012, 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, Chevalley Supergroups can be Read Online from any device for your convenience.
Chevalley Supergroups Book PDF Summary
In the framework of algebraic supergeometry, the authors give a construction of the scheme-theoretic supergeometric analogue of split reductive algebraic group-schemes, namely affine algebraic supergroups associated to simple Lie superalgebras of classical type. In particular, all Lie superalgebras of both basic and strange types are considered. This provides a unified approach to most of the algebraic supergroups considered so far in the literature, and an effective method to construct new ones. The authors' method follows the pattern of a suitable scheme-theoretic revisitation of Chevalley's construction of semisimple algebraic groups, adapted to the reductive case. As an intermediate step, they prove an existence theorem for Chevalley bases of simple classical Lie superalgebras and a PBW-like theorem for their associated Kostant superalgebras.
Detail Book of Chevalley Supergroups PDF
- Author : Rita Fioresi
- Release : 21 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821853009
- Genre : Mathematics
- Total Page : 77 pages
- Language : English
- PDF File Size : 14,9 Mb
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