• 2-Minimal Subgroups in Classical Groups: Linear and Unitary Groups 

      [OWP-2011-09] Parker, Christopher; Rowley, Peter (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-11)
    • Algebraic geometric comparison of probability distributions 

      [OWP-2011-30] Király, Franz J.; Bünau, Paul von; Meinecke, Frank C.; Blythe, Duncan A. J.; Müller, Klaus-Robert (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-27)
      We propose a novel algebraic framework for treating probability distributions represented by their cumulants such as the mean and covariance matrix. As an example, we consider the unsupervised learning problem of finding ...
    • Averages of Shifted Convolutions of d3(n) 

      [OWP-2011-11] Baier, Stephan; Browning, Tim; Marasingha, Gihan; Zhao, Liangyi (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-13)
      We investigate the first and second moments of shifted convolutions of the generalised divisor function $d_3(n)$.
    • Braid equivalences and the L-moves 

      [OWP-2011-20] Lambropoulou, Sofia (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-19)
      In this survey paper we present the L-moves between braids and how they can adapt and serve for establishing and proving braid equivalence theorems for various diagrammatic settings, such as for classical knots, for knots ...
    • Cluster structures on simple complex lie groups and the Belavin-Drinfeld classification 

      [OWP-2011-10] Gekhtman, Michael; Shapiro, Michael; Vainshtein, Alek (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-12)
      We study natural cluster structures in the rings of regular functions on simple complex Lie groups and Poisson-Lie structutures compatible with these cluster structures. According to our main conjecture, each class in the ...
    • Coxeter Arrangements and Solomon's Descent Algebra 

      [OWP-2011-03] Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-6)
    • Extremal configurations of polygonal linkages 

      [OWP-2011-24] Khimshiashvili, Giorgi; Panina, Gaiane; Siersma, Dirk; Zhukova, Alena (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-22)
    • Formal adjoints of linear DAE operators and their role in optimal control 

      [OWP-2011-15] Kunkel, Peter; Mehrmann, Volker (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-16)
      For regular strangeness-free linear differential-algebraic equations (DAEs) the definition of an adjoint DAE is straightforward. This definition can be formally extended to general linear DAEs. In this paper, we analyze ...
    • An inductive approach to coxeter arrangements and solomon's descent algebra 

      [OWP-2011-16] Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (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, ...
    • Infeasibility certificates for linear matrix inequalities 

      [OWP-2011-28] Klep, Igor; Schweighofer, Markus (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-25)
      Farkas' lemma is a fundamental result from linear programming providing linear certi cates for infeasibility of systems of linear inequalities. In semidefinite programming, such linear certificates only exist for strongly ...
    • On Reflection Subgroups of Finite Coxeter Groups 

      [OWP-2011-06] Douglass, J. Matthew; Pfeiffer, Götz; Röhrle, Gerhard (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-9)
      Let $W$ be a finite Coxeter group. We classify the reflection subgroups of $W$ up to conjugacy and give necessary and sufficient conditions for the map that assigns to a reflection subgroup $R$ of $W$ the conjugacy class ...
    • Self-adjoint differential-algebraic equations 

      [OWP-2011-27] Kunkel, Peter; Mehrmann, Volker; Scholz, Lena (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-24)
      Motivated from linear-quadratic optimal control problems for differential-algebraic equations (DAEs), we study the functional analytic properties of the operator associated with the necessary optimality boundary value ...
    • Steinberg groups for Jordan pairs 

      [OWP-2011-29] Loos, Ottmar; Neher, Erhard (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-26)
      We introduce categories of groups with commutator relations with respect to root groups and Weyl elements, permuting the root groups. This allows us to view the classical Steinberg groups, for example the Steinberg group ...