منابع مشابه
Detecting Rational Cohomology of Algebraic Groups
Let G be a connected, semisimple algebraic group defined over an algebraically closed field k of positive characteristic p. Assume that G is defined and split over the prime field k0 = GF (p), and for q = p , let G(q) be the subgroup of GF (g)-rational points. Let V be a rational G-module, and, for a non-negative integer r, let V(r) be the rational G-module obtained by 'twisting' the original G...
متن کاملLinear Algebraic Groups
We give a summary, without proofs, of basic properties of linear algebraic groups, with particular emphasis on reductive algebraic groups.
متن کاملLinear Algebraic Groups
These are the exercises (with solutions) and the exam for the course Algebra II, winter term 2014/2015 at Bonn. Students were not assumed to have heard algebraic geometry before, just algebra. In particular, basic affine and projective geometry were introduced from scratch. The course covered the standard material up to the structure results about maximal tori and Borel subgroups. Root systems ...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 1961
ISSN: 0019-2082
DOI: 10.1215/ijm/1255630894