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Group Algebras of Finite Groups as Lie Algebras [PDF]
Communications in Algebra, 2010 We consider the natural Lie algebra structure on the (associative) group algebra of a finite group $G$, and show that the Lie subalgebras associated to natural involutive antiautomorphisms of this group algebra are reductive ones. We give a decomposition in simple factors of these Lie algebras, in terms of the ordinary representations of $G$.
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Algebraic automorphism groups of pro-affine algebraic groups [PDF]
Proceedings of the American Mathematical Society, 1980 We study the maximum connected algebraic subgroup of automorphisms of certain pro-affine algebraic groups.
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Derivations of Group Algebras [PDF]
Journal of Mathematical Sciences, 2020 28 pages, in 2 languages - English and ...
Arutyunov, A. A. +2 more
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GENERALISING GROUP ALGEBRAS [PDF]
Journal of the London Mathematical Society, 2005 This paper has been ...
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Indian Journal of Pure and Applied Mathematics, 2012 Let \(KG\) be the group ring of a group \(G\) over a ring \(K\). An element \(\alpha\in KG\) is said to be algebraic over \(K\) if there exists a non-constant polynomial \(f(x)\in K[x]\) such that \(f(\alpha)=0\). In this paper the author makes a survey of the main results in the theory of group rings for algebraic elements which are obtained in recent
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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 ...
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On Algebraic Groups and Discontinuous Groups [PDF]
Nagoya Mathematical Journal, 1966 Let G be a connected semi-simple algebraic group defined over Q and let Γ be a discrete subgroup of GR (the subgroup of G consisting of points rational over R) such that Γ\GR is compact. The main purpose of the present paper is to prove that for a certain type of group G there exists an invariant algebraic differential from ω on G of highest degree ...
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Group algebras and algebras of Golod-Shafarevich [PDF]
Proceedings of the American Mathematical Society, 1987 In [ 2 ], Golod, using results of Golod and Shafarevich [ 1 ], has constructed a finitely generated algebra A
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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
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