Now showing items 1-5 of 5

• #### Generating Finite Coxeter Groups with Elements of the Same Order ﻿

[OWP-2020-07] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-16)
Supposing $G$ is a group and $k$ a natural number, $d_k(G)$ is defined to be the minimal number of elements of $G$ of order $k$ which generate $G$ (setting $d_k(G) = 0$ if $G$ has no such generating sets). This paper ...
• #### Multivariate Hybrid Orthogonal Functions ﻿

[OWP-2020-04] (Mathematisches Forschungsinstitut Oberwolfach, 2020-03-12)
We consider multivariate orthogonal functions satisfying hybrid orthogonality conditions with respect to a moment functional. This kind of orthogonality means that the product of functions of different parity order ...
• #### Splitting Necklaces, with Constraints ﻿

[OWP-2020-03] (Mathematisches Forschungsinstitut Oberwolfach, 2020-02-11)
We prove several versions of Alon's "necklace-splitting theorem", subject to additional constraints, as illustrated by the following results. (1) The "almost equicardinal necklace-splitting theorem" claims that, without ...
• #### Nondegenerate Invariant Symmetric Bilinear Forms on Simple Lie Superalgebras in Characteristic 2 ﻿

[OWP-2020-02] (Mathematisches Forschungsinstitut Oberwolfach, 2020-02-04)
As is well-known, the dimension of the space of non-degenerate invariant symmetric bilinear forms (NISes) on any simple finite-dimensional Lie algebra or Lie superalgebra is equal to at most 1 if the characteristic of the ...
• #### Positive Line Bundles Over the Irreducible Quantum Flag Manifolds ﻿

[OWP-2020-01] (Mathematisches Forschungsinstitut Oberwolfach, 2020-02-03)
Noncommutative Kähler structures were recently introduced by the third author as a framework for studying noncommutative Kähler geometry on quantum homogeneous spaces. It was subsequently observed that the notion of a ...