T(2,2,2,2)型tubular代数的合成代数

陈正新;

数学学报 ›› 2006, Vol. 49 ›› Issue (4) : 883-892.

数学学报 ›› 2006, Vol. 49 ›› Issue (4) : 883-892. DOI: 10.12386/A2006sxxb0109
论文

T(2,2,2,2)型tubular代数的合成代数

    陈正新;
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Composition Algebras of Tubular Algebras of Type T(2,2,2,2)

    Zheng Xin CHEN
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摘要

设A为有限域上的T(2,2,2,2)型tubular代数,它是tame遗传代数A0的单点扩张,也是tame遗传代数A∞的单点余扩张.记P0为预投射A0-模集合,L∞是预内射A∞-模集合,则P0,L∞(?)mod A记T=mod A\(P0∪L∞).本文证明A的合成代数C(A)具有形为P0·J·L∞的三角分解.

Abstract

Let A be a tubular algebra of type T(2,2,2,2) over a finite field k. It is the one-point extension of a tame hereditary algebra A0 and also the one-point coextension of a tame hereditary algebra A∞. Let P0 be the set of preprojective A0-modules and =L∞be the set of preinjective A∞-modules. Then we have P0,L∞(?)mod A. We denote T=mod A4\(P0∪L∞). In this paper, we get a triangular decomposition structure P0·J·L∞for the composition algebra C(A) of A.

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三角分解 / 合成代数 / T(2;2;2;2)型tubular代数

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陈正新;. T(2,2,2,2)型tubular代数的合成代数. 数学学报, 2006, 49(4): 883-892 https://doi.org/10.12386/A2006sxxb0109
Zheng Xin CHEN. Composition Algebras of Tubular Algebras of Type T(2,2,2,2). Acta Mathematica Sinica, Chinese Series, 2006, 49(4): 883-892 https://doi.org/10.12386/A2006sxxb0109

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