18 citations · 50 across the 7 of their papers we have counts for
7 papers
Gradings on associative algebras with involution and real forms of classical simple Lie algebras
Alberto Elduque, Mikhail Kochetov, Adrián Rodrigo-Escudero
We study gradings by abelian groups on associative algebras with involution over an arbitrary field. Of particular importance are the fine gradings (that is, those that do not admi…
Fine gradings and automorphism groups on associative algebras
Adrián Rodrigo-Escudero
First we prove that any inner automorphism in the stabilizer of a graded-simple unital associative algebra whose grading group is abelian is the conjugation by a homogeneous elemen…
Gradings on simple real Lie algebras
Adrián Rodrigo-Escudero
English: This work is a doctoral thesis in mathematics by compendium of four articles. Here we explain, using a language as simple as possible, the results achieved in those articl…
Clifford algebras as twisted group algebras and the Arf invariant
Alberto Elduque, Adrián Rodrigo-Escudero
Some connections between quadratic forms over the field of two elements, Clifford algebras of quadratic forms over the real numbers, real graded division algebras, and twisted grou…
Gradings on classical central simple real Lie algebras
Yuri Bahturin, Mikhail Kochetov, Adrián Rodrigo-Escudero
For any abelian group , we classify up to isomorphism all -gradings on the classical central simple Lie algebras, except those of type , over the field of real numbers (…
Classification of involutions on graded-division simple real algebras
Yuri Bahturin, Mikhail Kochetov, Adrián Rodrigo-Escudero
We classify, up to isomorphism and up to equivalence, involutions on graded-division finite-dimensional simple real (associative) algebras, when the grading group is abelian.
Classification of division gradings on finite-dimensional simple real algebras
Adrián Rodrigo-Escudero
We classify, up to isomorphism and up to equivalence, division gradings (by abelian groups) on finite-dimensional simple real algebras. Gradings on finite-dimensional simple algebr…