On the Classification of Graded Twisted Planes

Ricardo Bances, Christian Valqui

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

Resumen

We use a representation of a graded twisted tensor product of K[x] with K[y] in L(Kℕ0) in order to obtain a nearly complete classification of these graded twisted tensor products via infinite matrices. There is one particular example and three main cases: quadratic algebras classified in Conner and Goetz (J. Noncommut. Geom. 15(1), 41–78, 2021), a family called A(n, d, a) with the n + 1-extension property for n ≥ 2, and a third case, not fully classified, which contains a family B(a, L) parameterized by quasi-balanced sequences.

Idioma originalInglés
Páginas (desde-hasta)1231-1270
Número de páginas40
PublicaciónAlgebras and Representation Theory
Volumen26
N.º4
DOI
EstadoPublicada - ago. 2023

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