Browsing 2010 by MFO Scientific Program "Research in Pairs 2009"
Now showing items 1-7 of 7
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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 ... -
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 ... -
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 ... -
On the complement of the dense orbit for a quiver of type A
[OWP-2010-11] (Mathematisches Forschungsinstitut Oberwolfach, 2010)Let $\mathbb{A}_t$ 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 ... -
On the Complement of the Richardson Orbit
[OWP-2010-09] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-13)We consider parabolic subgroups of a general algebraic group over an algebraically closed field $k$ whose Levi part has exactly $t$ factors. By a classical theorem of Richardson, the nilradical of a parabolic subgroup $P$ ... -
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, ... -
Spectral Sequences in Combinatorial Geometry: Cheeses, Inscribed Sets, and Borsuk-Ulam Type Theorems
[OWP-2010-08] (Mathematisches Forschungsinstitut Oberwolfach, 2010-03-12)Algebraic topological methods are especially suited to determining the nonexistence of continuous mappings satisfying certain properties. In combinatorial problems it is sometimes possible to define a mapping from a space ...