A. Elduque

activity

20022022

most citedFine gradings on simple classical Lie algebras

6 citations · 34 across the 30 of their papers we have counts for

collaborators

Showing 2018Show all

5 papers · 1 filter

math.RA2018

Codes, S-structures, and exceptional Lie algebras

Isabel Cunha, Alberto Elduque

The exceptional simple Lie algebras of types E7 and E8 are endowed with optimal $S L_{2}^{n}$ -structures, and are thus described in terms of the corresponding coordinate algebras. These…

math.RA2018

Composition algebras

Alberto Elduque

This paper is devoted to survey composition algebras and some of their applications. After overviewing the classical algebras of quaternions and octonions, both unital composition…

math.RA2018

Graded-simple algebras and cocycle twisted loop algebras

Alberto Elduque

The loop algebra construction by Allison, Berman, Faulkner, and Pianzola, describes graded-central-simple algebras with split centroid in terms of central simple algebras graded by…

math.RA2018

Gradings on the simple real Lie algebras of types $G_{2}$ and $D_{4}$

Alberto Elduque, Mikhail Kochetov

We classify group gradings on the simple Lie algebras of types $G_{2}$ and $D_{4}$ over the field of real numbers (or any real closed field): fine gradings up to equivalence and $G$ -gr…

math.RA2018

Gradings on semisimple algebras

Alejandra S. Córdova-Martínez, Alberto Elduque

The classification of gradings by abelian groups on finite direct sums of simple finite-dimensional nonassociative algebras over an algebraically closed field is reduced, by means…

Codes, S-structures, and exceptional Lie algebras

Composition algebras

Graded-simple algebras and cocycle twisted loop algebras

Gradings on the simple real Lie algebras of types G2​ and D4​

Gradings on semisimple algebras

Gradings on the simple real Lie algebras of types $G_{2}$ and $D_{4}$