Derived-tame blowing-up of tree algebras
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Data
2005-07
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Resumo
Let k be an algebraically closed field and A be a tree algebra. We consider here a class obtained by the blowing-up of a tree algebra A at a set of vertices D of A, such an algebra is denoted by . The objective of this paper is to prove the equivalence between the derived-tameness and the non-negativity of the Euler form for algebras of this form. We also show that, in this case, if D is a non-empty set then must be derived equivalent to a special incidence algebra, called semichain algebra.
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Tame derived category, Euler form, Blowing-up of algebra, Tree algebra
Citação
CASTONGUAY, D. Derived-tame blowing-up of tree algebras. Journal of Algebra, Amsterdã, v. 289, n. 1, p. 20-41, July 2005.