Triangular Decomposition of Composition Algebras of Domestic Canonical Algebras |
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| Authors: | Zhengxin Chen Qinghua Chen |
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| Institution: | 1. School of Mathematics and Computer Science , Fujian Normal University , Fuzhou , China czxing@163.com;3. School of Mathematics and Computer Science , Fujian Normal University , Fuzhou , China |
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| Abstract: | Let A be a domestic canonical algebra over a finite field. In this article, we prove that the composition algebra C(A) of A has a triangular decomposition 𝒫·𝒯·? corresponding to the division of the indecomposable modules into the preprojectives, the regulars, and the preinjectives. |
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| Keywords: | Composition algebra Domestic canonical algebra Triangular decomposition |
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