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Abelian Galois cohomology of reductive groups

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Published by American Mathematical Society in Providence, R.I .
Written in English


  • Linear algebraic groups.,
  • Homology theory.,
  • Galois theory.,
  • Algebra, Homological.

Book details:

Edition Notes

StatementMikhail Borovoi.
SeriesMemoirs of the American Mathematical Society,, no. 626
LC ClassificationsQA3 .A57 no. 626, QA179 .A57 no. 626
The Physical Object
Paginationviii, 50 p. ;
Number of Pages50
ID Numbers
Open LibraryOL699352M
ISBN 100821806505
LC Control Number97047116

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Abelian Galois cohomology of reductive groups. [Mikhail Borovoi] Introduction 1. The algebraic fundamental group of a reductive group 2. Abelian Galois cohomology 3. The abelianization map 4. Computation of abelian Galois cohomology 5. Book\/a>, schema:MediaObject\/a>, schema:CreativeWork\/a> ;. In mathematics, a reductive group is a type of linear algebraic group over a definition is that a connected linear algebraic group G over a perfect field is reductive if it has a representation with finite kernel which is a direct sum of irreducible ive groups include some of the most important groups in mathematics, such as the general linear group GL(n) of. Destination page number Search scope Search Text. In mathematics, Galois cohomology is the study of the group cohomology of Galois modules, that is, the application of homological algebra to modules for Galois groups.A Galois group G associated to a field extension L/K acts in a natural way on some abelian groups, for example those constructed directly from L, but also through other Galois representations that may be .

Kup książkę Abelian Galois Cohomology of Reductive Groups (Mikhail Borovoi) u sprzedawcy godnego zaufania. Przeczytaj fragment, zapoznaj się z opiniami innych czytelników, przejrzyj książki o podobnej tematyce, które wybraliśmy dla Ciebie z naszej milionowej kolekcji. from our sellection of 20 million titles. reductive groups (over perfect fields, the two are the same). This lacuna was filled by the book of Conrad, Gabber, and Prasad (, ), which completes earlier work of Borel and Tits. In the meantime, in a seminar at IAS in –60, Weil had re-expressed some of Siegel’s work in terms of ad`eles and algebraic groups, and Langlands. See section in Chapter I of Serre's book on Galois cohomology for the Galois case, Milne's "Etale cohomology" book for generalization with flat and \'etale topologies, and Appendix B in my paper on "Finiteness theorems for algebraic groups over function fields" for a concrete fleshing out of the dictionary between the torsor and Galois. We are interested in describing the homology groups and cohomology groups for an elementary abelian group of can be viewed as the additive group of a -dimensional vector space over a field of elements. It is isomorphic to the external direct product of .

Stack Exchange network consists of Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange. Group theory. Abelian group, a group in which the binary operation is commutative. Category of abelian groups Ab has abelian groups as objects and group homomorphisms as morphisms; Metabelian group, a group where the commutator subgroup is abelian; Abelianisation; Galois theory. Abelian extension, a field extension for which the associated Galois group is abelian. group cohomology. In Schur studied a group isomorphic to H2(G,Z), and this group is known as the Schur multiplier of G. In Baer studied H2(G,A) as a group of equivalence classes of extensions. It was in that Eilenberg and MacLane introduced an algebraic approach which included these groups as special cases. The definition is thatFile Size: KB. Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups on *FREE* shipping on qualifying offers. Continuous Cohomology, Discrete Subgroups, and Representations of Reductive GroupsManufacturer: Princeton University Press.