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Cohomología de Hochschild y estructura de Gerstenhaber de las álgebras toupie
(UR.FC, 2015)
In this thesis we compute the Hochschild cohomology H∗(A) of a certain type of algebras calledtoupie algebras, and we describe the Gerstenhaber structure of ⊕1i=0 Hi(A). A quiver Q is called toupie if it has a unique source ...
Modules Over Endomorphism Rings
(Springer, 2015-12)
For a finite dimensional K-algebra Λ over an algebraically closed field K and for a basic Λ-module M, we study M with its natural structure as a module over the endomorphism ring EndΛ(M).
Tilting Modules in Truncated Categories
(Natl Acad Sci Ukraine, Inst Math, 2014-01-01)
We begin the study of a tilting theory in certain truncated categories of modules G(Gamma) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Gamma = P+ x J, J is an interval ...
Finite-Dimensional Representations of Hyper Loop Algebras over Non-algebraically Closed Fields
(SpringerDordrechtHolanda, 2010)
Laura Skew Group Algebras
(Taylor & Francis, 2007-07)
We prove that if A is an artin algebra, G is a finite group acting on A such that |G| is invertible in A, and R=A[G]b is a basic algebra associated with the skew group algebra, then A is left supported (or right supported, ...
Free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus (Omega(R)/dR)
(ELSEVIER SCIENCE BV, 2009)
In this paper we construct two free field realizations of the elliptic affine Lie algebra sl(2, R) circle plus Omega(R)/dR where R = C[t. t(-1), u vertical bar u(2) = t(3) - 2bt(2) + t]. The first realization provides an ...
RESTRICTED LIMITS OF MINIMAL AFFINIZATIONS
(Pacific Journal MathematicsBerkeleyEUA, 2010)
Representações de peso máximo para álgebras de Lie correntes truncadasHighest weight representations for truncated current Lie algebras
(Universidade Federal de ViçosaBRÁlgebra; Análise; Geometria e Topologia; Matemática AplicadaMestrado em MatemáticaUFV, 2015)