The quasi-hereditary algebra associated to the radical bimodule over a hereditary algebra

• Autorzy: Lutz Hille , Dieter Vossieck
• Języki publikacji: EN

Abstrakty

EN

Let Γ be a finite-dimensional hereditary basic algebra. We consider the radical rad Γ as a Γ-bimodule. It is known that there exists a quasi-hereditary algebra 𝓐 such that the category of matrices over rad Γ is equivalent to the category of Δ-filtered 𝓐-modules ℱ(𝓐,Δ). In this note we determine the quasi-hereditary algebra 𝓐 and prove certain properties of its module category.

Kategorie tematyczne

• 16E99: None of the above, but in this section
• 22E47: Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.)
• 14L30: Group actions on varieties or schemes (quotients)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 98
• Numer: 2
• Strony: 201-211

Daty

wydano

2003

Twórcy

autor

Lutz Hille

• Mathematisches Seminar, Universität Hamburg, D-20146 Hamburg, Germany

autor

Dieter Vossieck

• Am Frerks Hof 20, D-33647 Bielefeld, Germany

Identyfikatory

DOI

10.4064/cm98-2-6