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Abstract
B-construction is a way of obtaining a graded algebra from the triple consisting of an additive category, an object, and an autoequivalence, while C-construction is a way of obtaining an algebra (without unity) from the pair consisting of an additive category and a set of objects. In this article, we study and compare three important classes of algebras in noncommutative algebraic geometry and representation theory of finite dimensional algebras, namely, quantum polynomial algebras, preprojetive algebras and trivial extensions, via these constructions.
ACKNOWLEDGMENT
We thank Minamoto for many useful discussions concerning this article.
This work was supported by Grant-in-Aid for Scientific Research (C) 91540020.
Notes
Communicated by D. Zacharia.