Now showing items 1-10 of 919
Álgebras de Lie nilpotentes e solúveis
(Universidade Federal de Minas GeraisUFMG, 2017-03-02)
The goal of the current work is to introduce Lie algebras and to present their basic properties concerning subalgebras, homomorphisms and representations. We will also define nilpotent and solvable Lie algebras and prove ...
The Lie algebra of derivations of a current Lie algebra
(Taylor & Francis, 2019-09)
Let K be a field of characteristic zero, g be a finite dimensional K-Lie algebra and let A be a finite dimensional associative and commutative K-algebra with unit. We describe the structure of the Lie algebra of derivations ...
ON SPECIALITY OF BINARY-LIE ALGEBRAS
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2011)
In the present work, binary-Lie, assocyclic, and binary (-1,1) algebras are studied. We prove that, for every assocyclic algebra A, the algebra A(-) is binary-Lie. We find a simple non-Malcev binary-Lie superalgebra T that ...
On speciality of binary-Lie algebras
(World Scientific Publishing Co. Pte Ltd, 2011)
In the present work, binary-Lie, assocyclic, and binary (-1,1) algebras are studied. We prove that, for every assocyclic algebra A, the algebra A - is binary-Lie. We find a simple non-Malcev binary-Lie superalgebra T that ...
Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2
(European Mathematical Society, 2014-01)
Let M(n) be the class of all multiloop algebras of finite dimensional simple Lie algebras relative to n-tuples of commuting finite order automorphisms. It is a classical result that M(n) the class of all derived algebras ...
Grupos de Lie compactosCompact Lie groups
G2 e as álgebras normadasG2 and the normed algebras
Generalizations of Lie Algebras
(SPRINGER BASEL AGBASEL, 2012)
The generalizations of Lie algebras appeared in the modern mathematics and mathematical physics. In this paper we consider recent developments and remaining open problems on the subject. Some of that developments have been ...
Problema do isomorfismo para álgebras envolventes universais de álgebra de lie
(Universidade Federal de Minas GeraisUFMG, 2014-08-06)
Let L and H be two Lie algebras and UL and UH be their respective universal enveloping algebras. The isomorphism problem for universal enveloping algebras of Lie algebras asks us to determine under what conditions the ...