Constructing the directing components of an algebra
Constructions of Auslander-Reiten Quivers for a Class of Group Rings.
Coordinates of maximal roots of weakly non-negative unit forms
Corollaries of the A-H-V formula.
Correction to: "Group Algebras of Finite Representation Type". Math. Z. 182, 129 - 148 (1983).
Correction to: Maximal orders of global dimension and Krull dimension two.
Cotorsion modules for torsion theories
Counting equivalence classes of irreducible representations.
Counting the number of elements in the mutation classes of -quivers.
Covering Spaces in Representation-Theory.
Coxeter Orbits and Eigenspaces of Frobenius
Coxeter polynomials of Salem trees
We compute the Coxeter polynomial of a family of Salem trees, and also the limit of the spectral radii of their Coxeter transformations as the number of their vertices tends to infinity. We also prove that if z is a root of multiplicities for the Coxeter polynomials of the trees respectively, then z is a root for the Coxeter polynomial of their join, of multiplicity at least where .
Critical Simply Connected Algebras.
Cycle-finite algebras of semiregular type
We describe the structure of artin algebras for which all cycles of indecomposable finitely generated modules are finite and all Auslander-Reiten components are semiregular.
Cycle-finite algebras with almost all indecomposable modules of projective or injective dimension at most one
We describe the structure of artin algebras for which all cycles of indecomposable modules are finite and almost all indecomposable modules have projective or injective dimension at most one.
Decomposability criterion for linear sheaves
We establish a decomposability criterion for linear sheaves on ℙn. Applying it to instanton bundles, we show, in particular, that every rank 2n instanton bundle of charge 1 on ℙn is decomposable. Moreover, we provide an example of an indecomposable instanton bundle of rank 2n − 1 and charge 1, thus showing that our criterion is sharp.
Decomposition of Modules over Right Uniserial Rings.
Deformations of bimodule problems
We prove that deformations of tame Krull-Schmidt bimodule problems with trivial differential are again tame. Here we understand deformations via the structure constants of the projective realizations which may be considered as elements of a suitable variety. We also present some applications to the representation theory of vector space categories which are a special case of the above bimodule problems.
Deformed mesh algebras of Dynkin type ℂₙ
In our recent paper (J. Algebra 345 (2011)) we prove that the deformed preprojective algebras of generalized Dynkin type ₙ (in the sense of our earlier work in Trans. Amer Math. Soc. 359 (2007)) are exactly (up to isomorphism) the stable Auslander algebras of simple plane singularities of Dynkin type . In this article we complete the picture by showing that the deformed mesh algebras of Dynkin type ℂₙ are isomorphic to the canonical mesh algebras of type ℂₙ, and hence to the stable Auslander algebras...
Degenerations for indecomposable modules and tame algebras