Twisted Tensor Products of K n with K m

Jack Arce; Jorge A. Guccione; Juan J. Guccione; Christian Valqui

doi:10.1007/s10468-018-9833-1

Twisted Tensor Products of K ⁿ with K ^m

Jack Arce, Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Sección de Matemáticas

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2 Scopus citations

Abstract

We find three families of twisting maps of K^m with Kⁿ, where K is a field, and we make a detailed study of its properties. One of them is related to truncated quiver algebras, the second one consists of deformations of the first and the third one requires m = n and yields algebras isomorphic to M_n(K).

Original language	English
Pages (from-to)	1599-1651
Number of pages	53
Journal	Algebras and Representation Theory
Volume	22
Issue number	6
DOIs	https://doi.org/10.1007/s10468-018-9833-1
State	Published - 1 Dec 2019

Keywords

Quivers
Twisted tensor products

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title = "Twisted Tensor Products of K n with K m ",

abstract = "We find three families of twisting maps of Km with Kn, where K is a field, and we make a detailed study of its properties. One of them is related to truncated quiver algebras, the second one consists of deformations of the first and the third one requires m = n and yields algebras isomorphic to Mn(K).",

keywords = "Quivers, Twisted tensor products",

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AU - Guccione, Jorge A.

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AU - Valqui, Christian

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N2 - We find three families of twisting maps of Km with Kn, where K is a field, and we make a detailed study of its properties. One of them is related to truncated quiver algebras, the second one consists of deformations of the first and the third one requires m = n and yields algebras isomorphic to Mn(K).

AB - We find three families of twisting maps of Km with Kn, where K is a field, and we make a detailed study of its properties. One of them is related to truncated quiver algebras, the second one consists of deformations of the first and the third one requires m = n and yields algebras isomorphic to Mn(K).

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M3 - Article

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JO - Algebras and Representation Theory

JF - Algebras and Representation Theory

IS - 6

ER -

Twisted Tensor Products of K ⁿ with K ^m

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