Acta mathematica scientia,Series A ›› 1998, Vol. 18 ›› Issue (1): 11-18.
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Zhang Shunhua
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Abstract: Let A be the hereditary algebra of type A11 over a finite field, H(A) and C(A) be respectively the Ringel-Hell algebra ang the Composition algebre. It is proved C(A)=Y·J·g,where P(resp.g) is the subalgebra of C(A) generated by the preprojective (rcsp. preinjective) A -modules, and J is the subalgebra generated by the regular elements of C(A).
Key words: Ringel-Hall algebra, Composition algebra, Preprojective modules, Preinjectivemodules, Regular modules
Zhang Shunhua. Triangular Decomposition of the Composition Algebra of A11[J].Acta mathematica scientia,Series A, 1998, 18(1): 11-18.
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