Let A be a finite-dimensional hereditary algebra over a finite field, and let Ε½ . Ε½ . H H A and C C A be, respectively, the RingelαHall algebra and the composition w x Ε½ . w x algebra of A. Define r to be the element Γ M g H H A , where M runs over d the isomorphism classes of the regular A-modules
Triangular Decomposition of Composition Algebras of Domestic Canonical Algebras
β Scribed by Chen, Zhengxin; Chen, Qinghua
- Book ID
- 120303871
- Publisher
- Taylor and Francis Group
- Year
- 2009
- Tongue
- English
- Weight
- 231 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0092-7872
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π SIMILAR VOLUMES
the composition algebra of A. Let P P resp. I I be the subalgebra of Ε½ . Ε½ . C C A generated by the preprojective resp. preinjective A-modules, and let T T be w x Ε½ . w x the subalgebra generated by r , where r s Γ M g H H A , M runs over the d d Ε½ . isomorphism classes of the regular A-modules with
Let A be a triangular algebra. A bilinear map Ο : AΓAβA is called a biderivation if it is a derivation with respect to both arguments. In this paper we define the concept of an extremal biderivation, and prove that under certain conditions a biderivation of a triangular algebra A is a sum of an extr