Browsing 1 - Oberwolfach Preprints (OWP) by Title
Now showing items 421-426 of 426
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The Weyl group of the Cuntz algebra
[OWP-2011-31] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-28)The Weyl group of the Cuntz algebra $\mathcal{O}_n$ is investigated. This is (isomorphic to) the group of polynomial automorphisms $\lambda_u$ of $\mathcal{O}_n$, namely those induced by unitaries u that can be written ... -
Weyl-Titchmarsh Functions of Vector-Valued Sturm-Liouville Operators on the Unit Interval
[OWP-2008-13] (Mathematisches Forschungsinstitut Oberwolfach, 2008)The matrix-valued Weyl-Titchmarsh functions $M(\lambda)$ of vector-valued Sturm-Liouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collection of the eigenvalues (i.e., poles ... -
When Alcoved Polytopes Add
[OWP-2025-04] (Mathematisches Forschungsinstitut Oberwolfach, 2025-04)Alcoved polytopes are characterized by the property that all facet normal directions are parallel to the roots $e_i-e_j$. Unlike other prominent families of polytopes, like generalized permutahedra, alcoved polytopes are ... -
Yet another algorithm for the symmetric eigenvalue problem
[OWP-2016-02] (Mathematisches Forschungsinstitut Oberwolfach, 2016-05-10)In this paper we present a new algorithm for solving the symmetric matrix eigenvalue problem that works by first using a Cayley transformation to convert the symmetric matrix into a unitary one and then uses Gragg’s ... -
Z2-Thurston Norm and Complexity of 3-Manifolds, II
[OWP-2017-36] (Mathematisches Forschungsinstitut Oberwolfach, 2017-12-20)In this sequel to earlier papers by three of the authors, we obtain a new bound on the complexity of a closed 3-manifold, as well as a characterisation of manifolds realising our complexity bounds. As an application, we ... -
Zeta functions of 3-dimensional p-adic Lie algebras
[OWP-2007-10] (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-26)We give an explicit formula for the subalgebra zeta function of a general 3-dimensional Lie algebra over the $p$-adic integers $\mathbb{Z}_p$. To this end, we associate to such a Lie algebra a ternary quadratic form over ...