6 papers
Composition algebras in symmetric tensor categories
Alberto Elduque, Javier Rández-Ibáñez
Composition algebras in symmetric tensor categories are defined. The classical results on standard unital composition algebras, as well as the classification of the unital composit…
Automorphism group schemes and Weyl groups of gradings
Alberto Elduque
A scheme theoretic version of the automorphism group of a grading on an algebra is presented, and the classical result that shows that, over algebraically closed fields of characte…
J-ternary algebras, structurable algebras, and Lie superalgebras
Isabel Cunha, Alberto Elduque
A Lie superalgebra is attached to any finite-dimensional J-ternary algebra over an algebraically closed field of characteristic 3, using a process of semisimplification via tensor…
Special pure gradings on simple Lie algebras of types , ,
Cristina Draper, Alberto Elduque, Mikhail Kochetov
A group grading on a semisimple Lie algebra over an algebraically closed field of characteristic zero is special if its identity component is zero; it is pure if at least one of it…
Vidinli algebras
Alberto Elduque, Javier Rández-Ibáñez
A new class of nonassociative algebras, Vidinli algebras, is defined based on recent work of CoÅkun and Eden. These algebras are conic (or quadratic) algebras with the extra restr…
Almost fine gradings on algebras and classification of gradings up to isomorphism
Alberto Elduque, Mikhail Kochetov
We consider the problem of classifying gradings by groups on a finite-dimensional algebra (with any number of multilinear operations) over an algebraically closed field. We int…