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math.RA2025
Tensor products of Lie nilpotent associative algebras and applications to codimension sequences
Elitza Hristova
Let and be Lie nilpotent associative algebras over a field such that in addition satisfies the identity for some …
math.DG2025
A geometry of cubic discriminants in 8 dimensions
Elitza Hristova, Ivan Minchev
This paper examines 8-dimensional Riemannian manifolds whose structure group reduces to , the image of an irreducible representation of …
math.RA2025
Identities of relatively free algebras of Lie nilpotent associative algebras
Elitza Hristova, Thiago Castilho de Mello
In this paper, we consider the relatively free algebra of rank , , in the variety of Lie nilpotent associative algebras of index , denoted by $\mathfrak{…