9 citations · 15 across the 7 of their papers we have counts for
9 papers
Cohomological characterization of Universal Bundles of G(1,n)
Enrique Arrondo, Alicia Tocino
We characterize directs sums of twists of symmetric powers of the universal quotient bundle over the Grassmannian of lines. We use a method that could be used for analogue results…
On some structural properties of evolution algebras
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González +1
We consider the intersection of all maximal ideals of an evolution algebra and study the structure of the quotient $A/\M(A)$. In a previous work, maximal idea…
Connecting ideals in evolution algebras with hereditary subsets of its associated graph
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González +1
In this article, we introduce a relation including ideals of an evolution algebra and hereditary subsets of vertices of its associated graph and establish some properties among the…
Automorphism groups of Cayley evolution algebras
Cristina Costoya, Vicente Muñoz, Alicia Tocino +1
In this paper we introduce a new species of evolution algebras that we call Cayley evolution algebras. We show that if a field contains sufficiently many elements (for example…
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González +1
This work classifies three-dimensional simple evolution algebras over arbitrary fields. For this purpose, we use tools such as the associated directed graph, the moduli set, induct…
Tensor product of evolution algebras
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González +1
The starting point of this work is that the class of evolution algebras over a fixed field is closed under tensor product. This arises questions about the inheritance of properties…
Regular evolution algebras are universally finite
Cristina Costoya, Panagiote Ligouras, Alicia Tocino +1
In this paper we show that evolution algebras over any given field are universally finite. In other words, given any finite group , there exist infinitely many regular e…
Best rank- approximations for tensors: generalizing Eckart-Young
Jan Draisma, Giorgio Ottaviani, Alicia Tocino
Given a tensor in a Euclidean tensor space, we are interested in the critical points of the distance function from to the set of tensors of rank at most , which we call…
Best rank k approximation for binary forms
Giorgio Ottaviani, Alicia Tocino
In the tensor space of binary forms we study the best rank approximation problem. The critical points of the best rank approximation problem…