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Now showing items 11-20 of 22
On the complement of the dense orbit for a quiver of type A
[OWP-2010-11] (Mathematisches Forschungsinstitut Oberwolfach, 2010)
Let At be the directed quiver of type A with t vertices. For each dimension vector d there is a dense orbit in the corresponding representation space. The principal aim of this note is to use just rank ...
The ingram conjecture
[OWP-2010-02] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-8)
We prove the Ingram Conjecture, i.e., we show that the inverse limit spaces of every two tent maps with different slopes in the interval [1,2] are non-homeomorphic. Based on the structure obtained from the proof, we also ...
Fibonacci-like unimodal inverse limit spaces
[OWP-2010-03] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-9)
We study the structure of inverse limit space of so-called Fibonacci-like tent maps. The combinatorial constraints implied by the Fibonacci-like assumption allows us to introduce certain chains that enable a more detailed ...
Non-integrated defect relation for meromorphic maps of complete Kähler manifolds into a projective variety intersecting hypersurfaces
[OWP-2010-19] (Mathematisches Forschungsinstitut Oberwolfach, 2010)
In 1985, Fujimoto established a non-integrated defect relation for meromorphic maps of complete Kähler manifolds into the complex projective space intersecting hyperplanes in general position. In this paper, we generalize ...
On Generalizations of Kac-Moody Groups
[OWP-2010-06] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-10)
In [7] we define a Curtis-Tits group as a certain generalization of a Kac-Moody group. We distinguish between orientable and non-orientable Curtis-Tits groups and identify all orientable Curtis-Tits groups as Kac-Moody ...
Semi-Invertible Extensions of C*-Algebras
[OWP-2010-17] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-17)
We prolonge the list of C∗-algebras for which all extensions by any stable separable C∗-algebra are semi-invertible. In particular, we handle certain amalgamations, both of C∗-algebras and of groups. Concerning ...
A series of algebras generalizing the Octonions and Hurwitz-Radon Identity
[OWP-2010-10] (Mathematisches Forschungsinstitut Oberwolfach, 2010)
We study non-associative twisted group algebras over (Z2)n with cubic twisting functions. We construct a series of algebras that extend the classical algebra of octonions in the same way as the Clifford algebras ...
Unconditional Convergence of Spectral Decompositions of 1D Dirac Operators with Regular Boundary Conditions
[OWP-2010-21] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-19)
On Selfinjective Artin Algebras Having Generalized Standard Quasitubes
[OWP-2010-18] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-18)
We give a complete description of the Morita equivalence classes of all connected selfinjective artin algebras for which the Auslander-Reiten quiver admits a family of quasitubes having common composition factors, closed ...
Representation Theory of Non-Commutative Association Schemes of Order
[OWP-2010-07] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-11)
In this note, we investigate association schemes of order 6. We prove that non-normal closed subsets of such schemes have order 2 and that normal closed subsets of non-commutative schemes have order 2 or 3. After that, ...