Which Canonical Algebras are Derived Equivalent to Incidence Algebras of Posets?

Sefi Ladkani

doi:10.1080/00927870802185989

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Which Canonical Algebras are Derived Equivalent to Incidence Algebras of Posets?

Sefi Ladkani

Year: 2008 Journal: Communications in Algebra Vol: 36 (12)Pages: 4599-4606 Publisher: Taylor & Francis

DOI: 10.1080/00927870802185989

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Abstract

We give a full description of all the canonical algebras over an algebraically closed field that are derived equivalent to incidence algebras of finite posets. These are the canonical algebras whose number of weights is either 2 or 3.

Keywords:

Mathematics Algebraically closed field Star product Pure mathematics Incidence (geometry) Field (mathematics) Incidence algebra Canonical form Algebra over a field Algebra representation Jordan algebra

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Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Combinatorial Mathematics

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Which Canonical Algebras are Derived Equivalent to Incidence Algebras of Posets?

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