Möbius polynomial species
type: Item
instance of: scholarly article
title: Möbius polynomial species
zbMATH Open document ID: 0883.05126
DOI: 10.1016/S0012-365X(96)00133-1
author: Bernhard Rupp
published in: Discrete Mathematics
publication date: 1998-02-22T00:00:00Z
review text: The authors introduce ``Möbius species'', which can be considered as a special class of weighted species. Roughly speaking, the objects of consideration are posets with minimal element \(\widehat 0\) and maximal element \(\widehat 1\), which are given the weight \(\mu(\widehat0,\widehat1)\), the Möbius function of \(\widehat0\) and \(\widehat1\). A theory for these species is developed which parallels the usual theory (but, of course, has stronger results because of the special nature of these species). Things are set up in a way so that some identities for symmetric functions can be given a species theoretic interpretation.
Mathematics Subject Classification ID: 05E15
Mathematics Subject Classification ID: 05A40
Mathematics Subject Classification ID: 18B99
Mathematics Subject Classification ID: 05E05
Mathematics Subject Classification ID: 05A19
zbMATH DE Number: 1062451
zbMATH Keywords: Möbius polynomial species
zbMATH Keywords: umbral calculus
zbMATH Keywords: symmetric functions
reviewed by: C. Krattenthaler
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1062451