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Finite-dimensional representations of hyper loop algebras
(Pacific Journal MathematicsBerkeleyEUA, 2007)
Graded decomposition numbers for the blob algebra
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA, 2013)
Subálgebras de álgebra de Lie de operadores pseudo-diferenciales matriciales cuánticos y representaciones de módulos de peso máximo cuasifinitos de subálgebras de tipo ortogonal y simpléticos
(2017)
En esta tesis caracterizamos los módulos irreducibles de peso máximo cuasifinitos de las sub\'algebras del álgebra de Lie de operadores pseudo-diferenciales matriciales cuánticos N x N.
En la primer parte, se presentan ...
On the representation dimension of some classes of algebras
(Academic Press Inc Elsevier Science, 2004-05)
We show that the representation dimension of the following classes of algebras is at most 3: (a) Artin algebras A such that the functor HomA (D(A), -) has finite length (or dually, HomA (-, A) has finite length). These ...
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 ...
Functional representation of finitely generated free algebras in subvarieties of BL-algebras
(Elsevier Science, 2019-11)
Consider any subvariety of BL-algebras generated by a single BL-chain which is the ordinal sum of the standard MV-algebra on [0,1] and a basic hoop H. We present a geometrical characterization of elements in the finitely ...
Estudo de nova fórmula de caracteres para representações de Álgebra de Lie semissimples
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2015-08-28)
The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ...