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Mostrando ítems 11-20 de 555
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 ...
Verma and simple modules for quantum groups at non-abelian groups
(Academic Press Inc Elsevier Science, 2016-10)
The Drinfeld double D of the bosonization of a finite-dimensional Nichols algebra B(V) over a finite non-abelian group G is called a quantum group at a non-abelian group. We introduce Verma modules over such a quantum group ...
Finite-dimensional representations of hyper loop algebras
(Pacific Journal MathematicsBerkeleyEUA, 2007)
The cohomology of filiform Lie algebras of maximal rank
(Elsevier Science Inc, 2014-06)
We describe the structure of the cohomology of the filiform Lie algebras Ln and Qn as a module over their (2-dimensional) torus of derivations. Our approach relies on the fact that both filiform algebras have an ideal h ...
COMMUTATIVE ALGEBRAS IN DRINFELD CATEGORIES OF ABELIAN LIE ALGEBRAS
(CAMBRIDGE UNIV PRESSNEW YORK, 2012)
We describe (braided-) commutative algebras with non-degenerate multiplicative form in certain braided monoidal categories, corresponding to abelian metric Lie algebras (so-called Drinfeld categories). We also describe ...
Primeiros passos em teoria de módulos e variedades algébricas afins.First steps in theory of modules and affine algebraic varieties.
(Universidade Federal de UberlândiaBrasilMatemática, 2019)
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 ...
On the radical of the module category of an endomorphism algebra
(Springer, 2020-06)
Given a finite dimensional algebra A over an algebraically closed field we study the relationship between the powers of the radical of a morphism in the module category of the algebra A and the induced morphism in the ...
On Nichols algebras over basic Hopf algebras
(Springer, 2020-12-02)
This is a contribution to the classification of finite-dimensional Hopf algebras over an algebraically closed field k of characteristic 0. Concretely, we show that a finite-dimensional Hopf algebra whose Hopf coradical is ...