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Polar orthogonal representations of real reductive algebraic groups
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
We prove that a polar orthogonal representation of a real reductive algebraic group has the same closed orbits as the isotropy representation of a pseudo-Riemannian symmetric space. We also develop a partial structural ...
Clifford algebra-parametrized octonions and generalizations
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2006)
On Hopf algebras with triangular decomposition
(AMS, 2019-04)
In this survey, we first review some known results on the representationtheory of algebras with triangular decomposition, including the classification of the simple modules. We then discuss a recipe to construct Hopf ...
Algebraic functions in Łukasiewicz implication algebras
(World Scientific, 2016-03)
In this article we study algebraic functions in {→, 1}-subreducts of MV-algebras, also known as Łukasiewicz implication algebras. A function is algebraic on an algebra A if it is definable by a conjunction of equations on ...
Derived tame local and two-point algebras
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2009)
We determine derived representation type of complete finitely generated local and two-point algebras over an algebraically closed field. (C) 2009 Elsevier Inc. All rights reserved.
Representations on train algebras of rank 3
(2005)
We give a characterization of the representations on train algebras of rank 3. We prove that the subalgebra of the algebra of endomorphisms of a module generated by the representation of the nil ideal of the algebra is ...
Representation dimension of cluster-concealed algebras
(Springer, 2013-08)
We prove that the representation dimension of a cluster-concealed algebra B is 3. We compute its representation dimension by showing an explicit Auslander generator for the cluster-tilted algebra.
Minimal representations for 6-dimensional nilpotent Lie algebra
(World Scientific, 2016-12)
Given a Lie algebra , let μ(g) and μnil(g) be the minimal dimension of a faithful representation and nilrepresentation of , respectively. In this paper, we give μ(g) and μnil(g) for each nilpotent Lie algebra of dimension ...
Anéis semissimples e representações de grupo
(Universidade Tecnológica Federal do ParanáToledoBrasilLicenciatura em MatemáticaUTFPR, 2021-08-20)
The present work aims to present the theory of semisimple rings, group rings and group representations, in order to enable the calculation and to obtain the matrix representations of groups. This study is justified by the ...