Results 31 to 40 of about 13,362,899 (320)
Special Freudenthal-Kantor triple systems and Lie algebras with dicyclic symmetry [PDF]
, 2010 Lie algebras endowed with an action by automorphisms of the dicyclic group of degree 3 are considered. The close connections of these algebras with Lie algebras graded over the nonreduced root system BC1, with J-ternary algebras and with Freudenthal ...
Elduque, Alberto, Okubo, Susumu
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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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The Algebraic Structure of Finite Metabelian Group Algebras [PDF]
, 2013 An algorithm for the explicit computation of a complete set of primitive central idempotents, Wedderburn decomposition, and the automorphism group of the semisimple group algebra of a finite metabelian group is developed.
Gurmeet K. Bakshi +2 more
semanticscholar +1 more source
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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Toroidal Algebraic Groups [PDF]
Proceedings of the American Mathematical Society, 1961 Many of the more striking elementary properties of abelian varieties generalize to other kinds of algebraic groups, e.g. tori, i.e. direct products of multiplicative groups Gm, and in fact to extensions of tori by abelian varieties. This seems to have been more or less known for some time, but explicit statements are hard to find, a lack we attempt to ...
openaire +1 more source
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
doaj +1 more source
Centralizers of the infinite symmetric group [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We review and introduce several approaches to the study of centralizer algebras of the infinite symmetric group $S_{\infty}$. Our work is led by the double commutant relationship between finite symmetric groups and partition algebras; in the case of $S_{\
Zajj Daugherty, Peter Herbrich
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Real Closed Separation Theorems and Applications to Group Algebras [PDF]
, 2011 In this paper we prove a strong Hahn-Banach theorem: separation of disjoint convex sets by linear forms is possible without any further conditions, if the target field $\R$ is replaced by a more general real closed extension field.
Tim Netzer, Andreas Berthold Thom
semanticscholar +1 more source
Fixed Point Algebras for Easy Quantum Groups [PDF]
, 2016 Compact matrix quantum groups act naturally on Cuntz algebras. The first author isolated certain conditions under which the fixed point algebras under this action are Kirchberg algebras. Hence they are completely determined by their $K$-groups.
Gabriel, Olivier, Weber, Moritz
core +3 more sources