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Can I read Schurian vector space categories, hereditary algebras and Roiter's norm on EtoBox?
Schurian vector space categories, hereditary algebras and Roiter's norm by Wolfgang Rump is a Mathematics article available to read on EtoBox.
What is Schurian vector space categories, hereditary algebras and Roiter's norm about?
We associate a positive real number C to any vector space K-category C over a field K. Generalizing a result of Nazarova and Roiter, we show that a schurian vector space K-category C is representation-finite if and only if ind C is finite and C > 1 4 . Such vector space categories are quasilinear, i.e. its indecomposables are simple modules over their endomorphism ring. Recently, Nazarova and Roiter introduced the concept of P-faithful poset in order to clarify the structure of critical posets. Their conjecture on the precise form of P-faithful posets was established by Zeldich. We generalize these results and characterize P-faithful quasilinear vector space K-categories in terms of a class of hereditary algebras H ρ (D) parametrized by a skew-field D and a rational number ρ 1.
Who reads Schurian vector space categories, hereditary algebras and Roiter's norm?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Wolfgang Rump
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 2007
- Language
- EN
- Field
- Mathematics (Physical Sciences)