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- W2020277763 abstract "Let A be a finite dimensional hereditary algebra over a finite field, and let C(A) be the composition algebra of A. Let P (resp. I) be the subalgebra of C(A) generated by the preprojective (resp. preinjective) A-modules, and let T be the subalgebra generated by rd, where rd = ∑[M] ∈ H(A), [M] runs over the isomorphism classes of the regular A-modules with dimension vector d, and H(A) is the Ringel–Hall algebra of A. Then we prove that C(A) = P · T · I, if A is one of the types B̃n, C̃n, BC̃n, BD̃n, CD̃n, F̃41, F̃42, G̃21, G̃22, or Ã11." @default.
- W2020277763 created "2016-06-24" @default.
- W2020277763 creator A5010335041 @default.
- W2020277763 date "2001-07-01" @default.
- W2020277763 modified "2023-09-29" @default.
- W2020277763 title "Triangular Decomposition of Tame Non-Simply Laced Composition Algebras" @default.
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- W2020277763 doi "https://doi.org/10.1006/jabr.2001.8770" @default.
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