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Structurable superalgebras of Cartan type
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
We describe the simple Lie superalgebras arising from the unital structurable superalgebras of characteristic 0 and construct four series of the unital simple structurable superalgebras of Cartan type. We give a classification ...
Superálgebras de Lie de dimensão finita
(Universidade Federal de São Paulo, 2021-02-19)
Lie superalgebras are importante gadgets used in Particle Physics and Supersymmetry.
In this dissertation, some basic concepts, such as vector superspaces, Lie superalgebras
and representations, are presented. Furthemore, ...
Noncommutative Jordan superalgebras of degree n > 2
(SPRINGER, 2010)
We prove a coordinatization theorem for noncommutative Jordan superalgebras of degree n > 2, describing such algebras. It is shown that the symmetrized Jordan superalgebra for a simple finite-dimensional noncommutative ...
Super álgebras de funçõesMap superalgebras
([s.n.], 2013)
Wedderburn principal theorem for Jordan superalgebras I
(ElsevierÁlgebra U de ANueva York, Estados Unidos, 2022)
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 ...
Irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type W
(Academic Press Inc Elsevier Science, 2017-11)
In the present paper we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type W. The classification is based on a bijective correspondence between the continuous ...
Irreducible continuous representations of the simple linearly compact n -Lie superalgebra of type S
(World Scientific, 2019-02)
In the present paper, we classify all irreducible continuous representations of the simple linearly compact n-Lie superalgebra of type S. The classification is based on a bijective correspondence between the continuous ...
Description of costandard modules for Schur superalgebra S(2 vertical bar 1) in positive characteristic
(TAYLOR & FRANCIS LTD, 2011)
We describe the characters of simple modules and composition factors of costandard modules for S(2 vertical bar 1) in positive characteristics and verify a conjecture of La Scala-Zubkov regarding polynomial superinvariants ...