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On the existence of a derived equivalence between a Kozul algebra and its Yoneda Algebra
(World Scientific, 2014-01)
In this paper, we study the derived categories of a Koszul algebra and its Yoneda algebra to determine when those categories are triangularly equivalent. We prove that the simply connected Koszul algebras are derived ...
Álgebras seriais derivadamente mansas
(Universidade Federal de Minas GeraisBrasilPrograma de Pós-Graduação em MatemáticaUFMG, 2018-11-28)
The Tame-Wild Dichotomy for derived categories establish that every finite dimensional algebra over an algebrically closed eld is either derived tame or derived wild ([7], [16]). We proved that a left serial algebra is ...
Álgebras derivadamente mansas com três módulos simples
(Universidade Federal de Minas GeraisUFMG, 2016-11-28)
Given a finite-dimensional algebra it belongs to one of the following classes: derived tame or derived wild algebras. In this thesis our aim is to determine which finite dimensional K-algebras with three simple modules are ...
Estructura de álgebra de Poisson de la cohomología de ciertas álgebras de Lie nilpotentes
(2022-07-29)
Si g es un álgebra de Lie, la cohomología H**(g) tiene una estructura de súper-álgebra de
Poisson con producto asociativo súper-conmutativo V y un súper-corchete de Lie {-,-} que se
compatibiliza con el producto \vee en ...
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 ...
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 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 ...
On the Derived Categories and Quasitilted Algebras
(SPRINGER, 2009)
In this paper, we present some results on the bounded derived category of Artin algebras, and in particular on the indecomposable objects in these categories, using homological properties. Given a complex X*, we consider ...
Álgebra e formação docente: uma análise dos projetos pedagógicos de curso de Licenciatura em Matemática do RS
(Universidade Federal de Santa MariaBrasilEducaçãoUFSMPrograma de Pós-Graduação em Educação Matemática e Ensino de FísicaCentro de Ciências Naturais e Exatas, 2022-09-22)
This qualitative bibliographical research aimed to analyze the Course Pedagogical Process (CPP) of six Federal Universities (FU) in the state of Rio Grande do Sul (RS), Brazil, focusing on the pre-service education of ...
On delta-derivations of n-ary algebras
(TURPION LTDBRISTOL, 2012)
We give a description of delta-derivations of (n + 1)-dimensional n-ary Filippov algebras and, as a consequence, of simple finite-dimensional Filippov algebras over an algebraically closed field of characteristic zero. We ...