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Mostrando ítems 21-30 de 1914
Symplectic structures on nilmanifolds: an obstruction for its existence
(Heldermann Verlag, 2014-08)
In this work we introduce an obstruction for the existence of symplectic structures on nilpotent Lie algebras. Indeed, a necessary condition is presented in terms of the cohomology of the Lie algebra. Using this obstruction ...
On the Hopf algebra structure of the lusztig quantum divided power algebrasSur la structure d’algèbre de Hopf des algèbres de puissances divisées quantiques de lusztig
(Universite Clermont Auvergne, 2020-03-09)
We study the Hopf algebra structure of Lusztig’s quantum groups. First we show that the zero part is the tensor product of the group algebra of a finite abelian group with the enveloping algebra of an abelian Lie algebra. ...
The cohomology of filiform Lie algebras of maximal rank
(2014)
We describe the structure of the cohomology of the filiform Lie algebras and as a module over their (2-dimensional) torus of derivations. Our approach relies on the fact that both filiform algebras have an ideal of codimension ...
d-Koszul algebras, 2-d-determined algebras and 2-d-Koszul algebras
(ELSEVIER SCIENCE BV, 2011)
The relationship between an algebra and its associated monomial algebra is investigated when at least one of the algebras is d-Koszul It is shown that an algebra which has a reduced Grobnerbasis that is composed of homogeneous ...
Research procedures to understand algebraic structures: A hermeneutic approach
(2020-06-01)
The authors question how hermetic texts in mathematics, history, and philosophy of mathematics, specifically those referring to abstract algebra, can be open to the understanding of researchers, teachers and students who ...
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 ...
Clifford algebra-parametrized octonions and generalizations
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2006)
Implicative subreducts of MV-algebras: free and weakly projective objects
(Birkhauser Verlag Ag, 2017-12)
In this article, we explore in some detail the free and weakly projective objects of the variety of Łukasiewicz implication algebras (the implicative subreducts of MV-algebras). We review the two already known descriptions ...