Now showing items 117-136 of 356

• Group-Graded Rings Satisfying the Strong Rank Condition ﻿

[OWP-2019-22] (Mathematisches Forschungsinstitut Oberwolfach, 2019-08-16)
A ring $R$ satisfies the $\textit{strong rank condition}$ (SRC) if, for every natural number $n$, the free $R$-submodules of $R^n$ all have rank $\leq n$. Let $G$ be a group and $R$ a ring strongly graded by $G$ such that ...
• Groups with Spanier-Whitehead Duality ﻿

[OWP-2019-23] (Mathematisches Forschungsinstitut Oberwolfach, 2019-09-17)
We introduce the notion of Spanier-Whitehead $K$-duality for a discrete group $G$, defined as duality in the KK-category between two $C*$-algebras which are naturally attached to the group, namely the reduced group ...
• Hecke duality relations of Jacobi forms ﻿

[OWP-2008-03] (Mathematisches Forschungsinstitut Oberwolfach, 2008-03-07)
In this paper we introduce a new subspace of Jacobi forms of higher degree via certain relations among Fourier coefficients. We prove that this space can also be characterized by duality properties of certain distinguished ...
• Heisenberg-Weyl algebra revisited: combinatorics of words and paths ﻿

[OWP-2009-02] (Mathematisches Forschungsinstitut Oberwolfach, 2009)
The Heisenberg–Weyl algebra, which underlies virtually all physical representations of Quantum Theory, is considered from the combinatorial point of view. We provide a concrete model of the algebra in terms of paths on a ...
• Herbrand’s Theorem as Higher Order Recursion ﻿

[OWP-2018-01] (Mathematisches Forschungsinstitut Oberwolfach, 2018-02-19)
We provide a means to compute Herbrand disjunctions directly from sequent calculus proofs with cuts. Our approach associates to a first-order classical proof $\pi \vdash \exists v F$, where $F$ is quantifier free, an ...
• Higher Finiteness Properties of Reductive Arithmetic Groups in Positive Characteristic: the Rank Theorem ﻿

[OWP-2011-05] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-8)
We show that the finiteness length of an $S$-arithmetic subgroup $\Gamma$ in a noncommutative isotropic absolutely almost simple group $\mathcal{G}$ over a global function field is one less than the sum of the local ranks ...
• Hight functions on quaternionic Stiefel manifolds ﻿

[OWP-2015-10] (Mathematisches Forschungsinstitut Oberwolfach, 2015-07-29)
In this note, we study height functions on quaternionic Stiefel manifolds and prove that all these height functions are Morse-Bott. Among them, we characterize the Morse functions and give a lower bound for their number ...
• Holomorphic automorphic forms and cohomology ﻿

[OWP-2014-07] (Mathematisches Forschungsinstitut Oberwolfach, 2014-04-25)
We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least 2 this correspondence is given by the Eichler integral. ...
• Holonomy Groups of $G_2^*$-Manifolds ﻿

[OWP-2017-07] (Mathematisches Forschungsinstitut Oberwolfach, 2017-03-07)
We classify the holonomy algebras of manifolds admitting an indecomposable torsion free $G_2^*$-structure, i.e. for which the holonomy representation does not leave invariant any proper non-degenerate subspace. We realize ...
• Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary ﻿

[OWP-2018-06] (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-16)
We consider a domain $\Omega_\varepsilon\subset\mathbb{R}^N$, $N\geq2$, with a very rough boundary depending on~$\varepsilon$. For instance, if $N=3$ the domain $\Omega_\varepsilon$ has the form of a brush with an ...
• Homological properties of piecewise hereditary algebras ﻿

[OWP-2009-11] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-05)
Let $\Lambda$ be a finite dimensional algebra over an algebraically closed field $k$. We will investigate homological properties of piecewise hereditary algebras $\Lambda$. In particular we give lower and upper bounds of ...
• Homology and $K$-Theory of Torsion-Free Ample Groupoids and Smale Spaces ﻿

[OWP-2020-20] (Mathematisches Forschungsinstitut Oberwolfach, 2020-10-09)
Given an ample groupoid, we construct a spectral sequence with groupoid homology with integer coefficients on the second sheet, converging to the $K$-groups of the groupoid C*-algebra when the groupoid has torsion-free ...
• Hopf Algebras in Combinatorics, Volume 1 ﻿

[OWP-2020-14] (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-29)
• Hopf Algebras in Combinatorics, Volume 2 ﻿

[OWP-2020-15] (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-30)
• How Quantum Information Can Improve Social Welfare ﻿

[OWP-2020-13] (Mathematisches Forschungsinstitut Oberwolfach, 2020-07-16)
In [2, 18, 5, 19, 4] it has been shown that quantum resources can allow us to achieve a family of equilibria that can have sometimes a better social welfare, while guaranteeing privacy. We use graph games to propose ...
• Hölder Continuity of the Spectra for Aperiodic Hamiltonians ﻿

[OWP-2019-05] (Mathematisches Forschungsinstitut Oberwolfach, 2019-02-26)
We study the spectral location of a strongly pattern equivariant Hamiltonians arising through configurations on a colored lattice. Roughly speaking, two configurations are "close to each other" if, up to a translation, ...
• Hölder-Differentiability of Gibbs Distribution Functions ﻿

[OWP-2007-13] (Mathematisches Forschungsinstitut Oberwolfach, 2007-03-29)
In this paper we give non-trivial applications of the thermodynamic formalism to the theory of distribution functions of Gibbs measures (devil’s staircases) supported on limit sets of finitely generated conformal iterated ...
• An Identification Therorem for PSU6(2) and its Automorphism Groups ﻿

[OWP-2011-08] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-10)
We identify the groups PSU6(2), PSU6(2):2, PSU6(2):3 and Aut(PSU6(2)) from the structure of the centralizer of an element of order 3.
• The Index of Singular Zeros of Harmonic Mappings of Anti-Analytic Degree One ﻿

[OWP-2017-03] (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-02)
We study harmonic mappings of the form $f(z) = h(z) - \overline{z}$, where $h$ is an analytic function. In particular we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the ...
• An inductive approach to coxeter arrangements and solomon's descent algebra ﻿

[OWP-2011-16] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-17)
In our recent paper [3], we claimed that both the group algebra of a finite Coxeter group W as well as the Orlik-Solomon algebra of W can be decomposed into a sum of induced one-dimensional representations of centralizers, ...