Results 11 to 20 of about 11,773 (167)
Group Algebra Modules. II [PDF]
Canadian Journal of Mathematics, 1967 The present paper began as a natural outgrowth of our first paper, where we characterized the module homomorphisms from group algebras into a fairly restrictive class of group algebra modules. We now investigate module homomorphisms from group algebras into a more general class of group algebra modules.
Gulick, S. L. +2 more
openaire +2 more sources
Semisimplification for subgroups of reductive algebraic groups
Forum of Mathematics, Sigma, 2020 Let G be a reductive algebraic group—possibly non-connected—over a field k, and let H be a subgroup of G. If $G= {GL }_n$ , then there is a degeneration process for obtaining from H a completely reducible subgroup $H'$ of G; one takes a ...
Michael Bate +2 more
doaj +1 more source
Cohomology of simple modules for algebraic groups
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this paper, we consider questions related to the study of the cohomology of simple and simply connected algebraic groups with coefficients in simple modules. There are various calculating methods for them. One of the effective methods is to study the
Sh.Sh. Ibraev +2 more
doaj +1 more source
Finiteness theorems for algebraic tori over function fields
Comptes Rendus. Mathématique, 2021 We present a number of finiteness results for algebraic tori (and, more generally, for algebraic groups with toric connected component) over two classes of fields: finitely generated fields and function fields of algebraic varieties over fields of type ...
Rapinchuk, Andrei S., Rapinchuk, Igor A.
doaj +1 more source
Monothetic algebraic groups [PDF]
Journal of the Australian Mathematical Society, 2007 AbstractWe call an algebraic group monothetic if it possesses a dense cyclic subgroup. For an arbitrary field k we describe the structure of all, not necessarily affine, monothetic k-groups G and determine in which cases G has a k-rational generator.
FALCONE, Giovanni +2 more
openaire +4 more sources
Some Results on the Cohomology of Line Bundles on the Three Dimensional Flag Variety
Mathematics, 2019 Let k be an algebraically closed field of prime characteristic and let G be a semisimple, simply connected, linear algebraic group. It is an open problem to find the cohomology of line bundles on the flag variety G / B , where B is a Borel ...
Muhammad Fazeel Anwar
doaj +1 more source
GENERALISING GROUP ALGEBRAS [PDF]
Journal of the London Mathematical Society, 2005 This paper has been ...
openaire +4 more sources
Algebraic subgroups of the plane Cremona group over a perfect field [PDF]
Épijournal de Géométrie Algébrique, 2021 We show that any infinite algebraic subgroup of the plane Cremona group over a perfect field is contained in a maximal algebraic subgroup of the plane Cremona group.
Julia Schneider, Susanna Zimmermann
doaj +1 more source
PROJECTIVE GROUP ALGEBRAS [PDF]
International Journal of Modern Physics A, 1999 In this paper we apply a recently proposed algebraic theory of integration to projective group algebras. These structures have received some attention in connection with the compactification of the M theory on noncommutative tori. This turns out to be an interesting field of applications, since the space [Formula: see text] of the equivalence classes ...
openaire +4 more sources
Twisted group algebras I [PDF]
Communications in Mathematical Physics, 1969 A generalization of the group algebra of a locally compact group is studied, by expressing the group algebra of a central group extension as the direct sum of closed *-ideals each one of which is isomorphic to such a “twisted” group algebra. In particular, the representation theory of such algebras is associated with the theory of projective ...
Edwards, C. M., Lewis, J. T.
openaire +3 more sources