Opening book details…
Can I read Triangular Decomposition of the Composition Algebra of the Kronecker Algebra on EtoBox?
Triangular Decomposition of the Composition Algebra of the Kronecker Algebra by Pu Zhang is a Mathematics article available to read on EtoBox.
What is Triangular Decomposition of the Composition Algebra of the Kronecker Algebra about?
Let A be a finite-dimensional hereditary algebra over a finite field, and let Ž . Ž . H H A and C C A be, respectively, the Ringel᎐Hall algebra and the composition w x Ž . w x algebra of A. Define r to be the element Ý M g H H A , where M runs over d the isomorphism classes of the regular A-modules with dimension vector d. We Ž . prove that r and the exceptional A-modules all lie in C C A . Let K be the d Ž . Ž . Kronecker algebra, P P resp. I I the subalgebra of C C K generated by the Ž . preprojective resp. preinjective K-modules, and T T the subalgebra generated by Ž . r for n G 0. Then we prove that C C K s P P и T T и I I and then T T is just the Ž n, n. Ž . subalgebra of C C K generated by all regular elements.
Who reads Triangular Decomposition of the Composition Algebra of the Kronecker Algebra?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Pu Zhang
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 1996
- Language
- EN
- Field
- Mathematics (Physical Sciences)