Results 11 to 20 of about 1,694 (268)

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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Combinatoric topological string theories and group theory algorithms

Journal of High Energy Physics, 2022
A number of finite algorithms for constructing representation theoretic data from group multiplications in a finite group G have recently been shown to be related to amplitudes for combinatoric topological strings (G-CTST) based on Dijkgraaf-Witten ...
Sanjaye Ramgoolam, Eric Sharpe
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On RM-algebras with an additional condition [PDF]

Journal of Mahani Mathematical Research
In this paper, we apply a new condition to RM-algebras. We obtain some relations among this condition with another axioms in some algebras of logic and some examples are given to illustrate them. %It is proved We prove that the relation derived from this
Akbar Rezaei
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GENERALISING GROUP ALGEBRAS [PDF]

Journal of the London Mathematical Society, 2005
This paper has been ...
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On unit group of finite semisimple group algebras of non-metabelian groups up to order 72 [PDF]

Mathematica Bohemica, 2021
We characterize the unit group of semisimple group algebras $\mathbb{F}_qG$ of some non-metabelian groups, where $F_q$ is a field with $q=p^k$ elements for $p$ prime and a positive integer $k$.
Gaurav Mittal, Rajendra Kumar Sharma
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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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Classification of left invariant metrics on 4-dimensional solvable Lie groups [PDF]

Theoretical and Applied Mechanics, 2020
In this paper the complete classification of left invariant metrics of arbitrary signature on solvable Lie groups is given. By identifying the Lie algebra with the algebra of left invariant vector fields on the corresponding Lie group 𝐺, the ...
Šukilović Tijana
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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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Derivations of Group Algebras [PDF]

Journal of Mathematical Sciences, 2020
28 pages, in 2 languages - English and ...
Arutyunov, A. A., Mishchenko, A. S., Shtern, A. I.   +2 more
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An extension of Helson-Edwards theorem to Banach Modules

International Journal of Mathematics and Mathematical Sciences, 1991
An extension of the Helson-Edwards theorem for the group algebras to Banach modules over commutative Banach algebras is given. This extension can be viewed as a generalization of Liu-Rooij-Wang's result for Banach modules over the group algebras.
Sin-Ei Takahasi
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