Now showing items 21-38 of 38

• #### Crystal energy functions via the charge in types A and C ﻿

[OWP-2011-25] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-23)
The Ram-Yip formula for Macdonald polynomials (at $t=0$) provides a statistic which we call charge. In types $A$ and $C$ it can be defined on tensor products of Kashiwara-Nakashima single column crystals. In this ...
• #### Extremal configurations of polygonal linkages ﻿

[OWP-2011-24] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-22)
• #### A note on delta hedging in markets with jumps ﻿

[OWP-2011-23] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-21)
Modelling stock prices via jump processes is common in financial markets. In practice, to hedge a contingent claim one typically uses the so-called delta-hedging strategy. This strategy stems from the Black–Merton–Scholes ...
• #### Combinatorics of Vassiliev invariants ﻿

[OWP-2011-22] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-20)
This paper is an introductory survey of the combinatorial aspects of the Vassiliev theory of knot invariants following the lectures delivered at the Advanced School on Knot Theory and its Applications to Physics and Biology ...
• #### Braid equivalences and the L-moves ﻿

[OWP-2011-20] (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 ...
• #### A categorical model for the virtual braid group ﻿

[OWP-2011-19] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-18)
• #### 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, ...
• #### Formal adjoints of linear DAE operators and their role in optimal control ﻿

[OWP-2011-15] (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 ...
• #### Definable orthogonality classes in accessible categories are small ﻿

[OWP-2011-14] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-15)
We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopenka's principle. We prove that the necessary ...
• #### Asymptotic behavior of the eigenvalues and eigenfunctions to a spectral problem in thick cascade junction with concentrated masses ﻿

[OWP-2011-12] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-14)
The asymptotic behavior (as $\varepsilon \to 0$) of eigenvalues and eigenfunctions of a boundaryvalue problem for the Laplace operator in a thick cascade junction with concentrated masses is investigated. This cascade ...
• #### Averages of Shifted Convolutions of d3(n) ﻿

[OWP-2011-11] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-13)
We investigate the first and second moments of shifted convolutions of the generalised divisor function $d_3(n)$.
• #### Cluster structures on simple complex lie groups and the Belavin-Drinfeld classification ﻿

[OWP-2011-10] (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 ...
• #### 2-Minimal Subgroups in Classical Groups: Linear and Unitary Groups ﻿

[OWP-2011-09] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-11)
• #### 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.
• #### On Reflection Subgroups of Finite Coxeter Groups ﻿

[OWP-2011-06] (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 ...
• #### 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 ...
• #### Localized Endomorphisms of Graph Algebras ﻿

[OWP-2011-04] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-7)
Endomorphisms of graph $C^*$-algebras are investigated. A combinatorial approach to analysis of permutative endomorphisms is developed. Then invertibility criteria for localized endomorphisms are given. Furthermore, ...
• #### Coxeter Arrangements and Solomon's Descent Algebra ﻿

[OWP-2011-03] (Mathematisches Forschungsinstitut Oberwolfach, 2011-05-6)