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EL-Shellability of Generalized Noncrossing Partitions [PDF]

open access: greenDiscrete Mathematics & Theoretical Computer Science, 2012
In this article we prove that the poset of m-divisible noncrossing partitions is EL-shellable for every well-generated complex reflection group. This was an open problem for type G(d,d,n) and for the exceptional types, for which a proof is given case-by ...
Henri Mühle
doaj   +6 more sources

A Hodge filtration of logarithmic vector fields for well-generated complex reflection groups [PDF]

open access: diamondJournal of Combinatorial Algebra, 2018
Given an irreducible well-generated complex reflection group, we construct an explicit basis for the module of vector fields with logarithmic poles along its reflection arrangement. This construction yields in particular a Hodge filtration of that module.
Takuro Abe   +3 more
core   +7 more sources

Symmetric Chain Decompositions and the Strong Sperner Property for Noncrossing Partition Lattices [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
We prove that the noncrossing partition lattices associated with the complex reflection groups G(d, d, n) for d, n ≥ 2 admit a decomposition into saturated chains that are symmetric about the middle ranks.
Henri Mühle
doaj   +5 more sources

On non-conjugate Coxeter elements in well-generated reflection groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
Given an irreducible well-generated complex reflection group $W$ with Coxeter number $h$, we call a Coxeter element any regular element (in the sense of Springer) of order $h$ in $W$; this is a slight extension of the most common notion of Coxeter ...
Victor Reiner   +2 more
doaj   +1 more source

Helly meets Garside and Artin [PDF]

open access: yes, 2021
A graph is Helly if every family of pairwise intersecting combinatorial balls has a nonempty intersection. We show that weak Garside groups of finite type and FC-type Artin groups are Helly, that is, they act geometrically on Helly graphs. In particular,
Huang, Jingyin, Osajda, Damian
core   +3 more sources

Towards achieving interorganisational collaboration between health-care providers: a realist evidence synthesis

open access: yesHealth and Social Care Delivery Research, 2023
Background Interorganisational collaboration is currently being promoted to improve the performance of NHS providers. However, up to now, there has, to the best of our knowledge, been no systematic attempt to assess the effect of different approaches to ...
Millar Ross   +6 more
doaj   +1 more source

Identification of Phyllosilicates in the Antarctic Environment Using ASTER Satellite Data: Case Study from the Mesa Range, Campbell and Priestley Glaciers, Northern Victoria Land

open access: yesRemote Sensing, 2020
In Antarctica, spectral mapping of altered minerals is very challenging due to the remoteness and inaccessibility of poorly exposed outcrops. This investigation evaluates the capability of Advanced Spaceborne Thermal Emission and Reflection Radiometer ...
Amin Beiranvand Pour   +11 more
doaj   +1 more source

How qualitative studies can strengthen occupational health research

open access: yesScandinavian Journal of Work, Environment & Health, 2021
The Scandinavian Journal of Work, Environment and Health (SJWEH) has a strong reputation in publishing high quality studies using quantitative research methods in the field of occupational health.
Cécile RL Boot, Astrid R Bosma
doaj   +1 more source

Public space and the contemporary city. A narrative of places, time, relationships

open access: yesTechne, 2020
The reconfiguration of the post-modern city promotes the public space as a place of excellence for material, social and sensorial exchange, restoring the primitive and noble taste of a sphere aimed at collective practice, an ideological model of ...
Emilio Faroldi
doaj   +1 more source

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