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Estefanía Andreu Juan

Publications and source records attributed to Estefanía Andreu Juan.

2 recordsLinked to original sources
arXiv2014

Pseudo-Frobenius graded algebras with enough idempotents

We introduce and study the notion of pseudo-Frobenius graded algebra with enough idempotents, showing that it follows the pattern of the classical concept of pseudo-Frobenius (PF) and Quasi-Frobenius (QF) rings, in particular finite dimensional self-injective algebras, as studied by Nakayama, Morita, Faith, Tachikawa, etc. We show that such an algebra is characterized by the existence of a graded Nakayama form. Moreover, we prove that the pseudo-Frobenius property is preserved and reflected by covering functors, a fact that makes the concept useful in Representation Theory.

math.RT↗
arXiv2011

The Hochschild Cohomology ring of preprojective algebras of type Ln

We compute the Hochschild Cohomology of a finite-dimensional preprojective algebra of generalized Dynkin type Ln over a field of characteristic different from 2 . In particular, we describe the ring structure of the Hochschild Cohomology ring under the Yoneda product by giving an explicit presentation by generators and relations.

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