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Now showing items 11-20 of 27
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 ...
Simple graded commutative algebras
[OWP-2009-12] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-06)
We study the notion of Γ-graded commutative algebra for an arbitrary abelian group Γ. The main examples are the Clifford algebras already treated in [2]. We prove that the Clifford algebras are the only ...
Homological properties of piecewise hereditary algebras
[OWP-2009-11] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-05)
Let Λ be a finite dimensional algebra over an algebraically closed field k. We will investigate homological properties of piecewise hereditary algebras Λ. In particular we give lower and upper bounds of ...
The contact polytope of the leech lattice
[OWP-2009-18] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-12)
The contact polytope of a lattice is the convex hull of its shortest vectors. In this paper we classify the facets of the contact polytope of the Leech lattice up to symmetry. There are 1, 197, 362, 269, 604, 214, 277, 200 ...
An introduction to heavy-tailed and sibexponential distributions
[OWP-2009-13] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-07)
This text studies heavy-tailed distributions in probability theory, and especially convolutions
of such distributions. The mail goal is to provide a complete and comprehensive introduction
to the theory of long-tailed ...
Tilting on non-commutative rational projective curves
[OWP-2009-14] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-08)
In this article we introduce a new class of non-commutative projective curves and show that in certain cases the derived category of coherent sheaves on them has a tilting complex. In particular, we prove that the right ...
On the distribution of a second class particle in the asymmetric simple exclusion process
[OWP-2009-22] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-15)
We give an exact expression for the distribution of the position X(t) of a single second class particle in the asymmetric simple exclusion process (ASEP) where initially the second class particle is located at the origin ...
A study on gradient blow up for viscosity solutions of fully nonlinear, uniformly elliptic equations
[OWP-2009-10] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-04)
We investigate sharp conditions for boundary and interior gradient estimates of continuous viscosity solutions to fully nonlinear, uniformly elliptic equations under Dirichlet boundary conditions. When these conditions are ...
Classification of idempotent states on the compact quantum groups Uq(2), SUq(2) and SOq(3)
[OWP-2009-08] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-02)
We give a simple characterisation of those idempotent states on compact quantum groups which arise as Haar states on quantum subgroups, show that all idempotent states on quantum groups Uq(2), SUq(2), and $SO_q(3) ...
Discrete non-commutative integrability: the proof of a conjecture by M. Kontsevich
[OWP-2009-24] (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-17)
We prove a conjecture of Kontsevich regarding the solutions of rank two recursion relations for non-commutative variables which, in the commutative case, reduce to rank two cluster algebras of affine type. The conjecture ...