Zobrazeno 1 - 10
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pro vyhledávání: '"Pegel, Christoph"'
Autor:
Pegel, Christoph, Sanyal, Raman
Stanley (1986) introduced the order polytope and chain polytope of a partially ordered set and showed that they are related by a piecewise-linear homeomorphism. In this paper we view order and chain polytopes as instances of distributive and anti-blo
Externí odkaz:
http://arxiv.org/abs/1911.12090
Publikováno v:
The Electronic Journal of Combinatorics 27(1) (2020), #P1.27
We provide a Minkowski sum decomposition of marked chain-order polytopes into building blocks associated to elementary markings and thus give an explicit minimal set of generators of an associated semi-group algebra. We proceed by characterizing the
Externí odkaz:
http://arxiv.org/abs/1807.03970
Motivated by the problem of bounding the number of rays of plane tropical curves we study the following question: Given $n\in\mathbb{N}$ and a unimodular $2$-simplex $\Delta$ what is the maximal number of vertices a lattice polytope contained in $n\c
Externí odkaz:
http://arxiv.org/abs/1805.09989
For any marked poset we define a continuous family of polytopes, parametrized by a hypercube, generalizing the notions of marked order and marked chain polytopes. By providing transfer maps, we show that the vertices of the hypercube parametrize an E
Externí odkaz:
http://arxiv.org/abs/1712.01037
Autor:
Pegel, Christoph
We study a class of polyhedra associated to marked posets. Examples of these polyhedra are Gelfand-Tsetlin polytopes and cones, as well as Berenstein-Zelevinsky polytopes, all of which have appeared in the representation theory of semi-simple Lie alg
Externí odkaz:
http://arxiv.org/abs/1610.01393
Autor:
Bruckner, Roman, Pegel, Christoph
There are Quillen equivalent Thomason model structures on the category of small categories, the category of small acyclic categories and the category of posets. These share the property that cofibrant objects are posets. In fact, they share the same
Externí odkaz:
http://arxiv.org/abs/1603.05448
Autor:
Haga, Tim, Pegel, Christoph
Publikováno v:
Discrete Comput. Geom. (2016) 56: 727
Hilbert space frames generalize orthonormal bases to allow redundancy in representations of vectors while keeping good reconstruction properties. A frame comes with an associated frame operator encoding essential properties of the frame. We study a p
Externí odkaz:
http://arxiv.org/abs/1507.04197
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Akademický článek
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Autor:
Pegel, Christoph
Pairs of polyhedra connected by a piecewise-linear bijection appear in different fields of mathematics. The model example of this situation are the order and chain polytopes introduced by Stanley in, whose defining inequalities are given by a finite
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______139::8cfad4497f658b5bb400a8001f3583c5
https://media.suub.uni-bremen.de/handle/elib/1347
https://media.suub.uni-bremen.de/handle/elib/1347