On algebras of finite Cohen–Macaulay type
نویسندگان
چکیده
منابع مشابه
On Algebras of Finite Representation Type
Since D. G. Higman proved that bounded representation type and finite representation type are equivalent for group algebras at prime characteristic, there has been a renewed interest in the Brauer-Thrall conjecture that bounded representation type implies finite representation type for arbitrary algebras. The main purpose of this paper is to present a new approach to this conjecture by showing ...
متن کاملOn quantum cluster algebras of finite type
We extend the definition of a quantum analogue of the CalderoChapoton map defined [17]. When Q is a quiver of finite type, we prove that the algebra A H |k|(Q) generated by all cluster characters (see Definition 1) is exactly the quantum cluster algebra E H |k|(Q).
متن کاملthe structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
15 صفحه اولCluster-tilted Algebras of Finite Representation Type
We investigate the cluster-tilted algebras of finite representation type over an algebraically closed field. We give an explicit description of the relations for the quivers for finite representation type. As a consequence we show that a (basic) cluster-tilted algebra of finite type is uniquely determined by its quiver. Also some necessary conditions on the shapes of quivers of cluster-tilted a...
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Cluster algebras were introduced in [5] by Fomin and Zelevinsky to provide an algebraic framework for the study of canonical bases in quantum groups. Since their introduction, it has also been observed that cluster algebras are closely related with different areas in mathematics. For example; they provide a natural algebraic setup to study recursively defined rational functions in combinatorics...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2011
ISSN: 0001-8708
DOI: 10.1016/j.aim.2010.09.006