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Homological invariants relating the super Jordan plane to the Virasoro algebra
(Academic Press Inc Elsevier Science, 2018-08)
Nichols algebras are an important tool for the classification of Hopf algebras. Within those with finite GK dimension, we study homological invariants of the super Jordan plane, that is, the Nichols algebra A=B(V(−1,2)). ...
On a definition of multi-Koszul algebras
(Academic Press Inc Elsevier Science, 2013-02)
In this article we introduce the notion of multi-Koszul algebra for the case of a nonnegatively graded connected algebra with a finite number of generators of degree 1 and with a finite number of relations, as a generalization ...
Cyclic homology of cleft extensions of algebras
(World Scientific, 2018-05)
Let k be a commutative algebra with Q ⊆ k and let (E,p,i) be a cleft extension of A. We obtain a new mixed complex, simpler than the canonical one, giving the Hochschild and cyclic homologies of E relative to ker(p). This ...
Álgebra de Rees de ideais
(Universidade Federal de SergipePós-Graduação em MatemáticaBrasilUFS, 2017)
Tensor products of Leavitt path algebras
(American Mathematical Society, 2013-04)
We compute the Hochschild homology of Leavitt path algebras
over a field k. As an application, we show that L2 and L2 ⊗ L2 have different
Hochschild homologies, and so they are not Morita equivalent; in particular,
they ...
Hochschild homology and cohomology of down–up algebras
(Academic Press Inc Elsevier Science, 2018-03)
We present a detailed computation of the cyclic and the Hochschild homology and cohomology of generic and 3-Calabi–Yau homogeneous down–up algebras. This family was defined by Benkart and Roby in [3] in their study of ...
Central extensions of the algebra of formal pseudo-differential symbols via Hochschild (co)homology and quadratic symplectic Lie algebras
(2017)
We describe the space of central extensions of the associative algebra Ψn of formal pseudo-differential symbols in n≥1 independent variables using Hochschild (co)homology groups: we prove that the first Hochschild (co)homology ...
Central extensions of the algebra of formal pseudo-differential symbols via Hochschild (co)homology and quadratic symplectic Lie algebras
(2017)
We describe the space of central extensions of the associative algebra Ψn of formal pseudo-differential symbols in n≥1 independent variables using Hochschild (co)homology groups: we prove that the first Hochschild (co)homology ...