A Framework for Coxeter Spectral Classification of Finite Posets and Their Mesh Geometries of Roots

نویسندگان

  • Daniel Simson
  • Katarzyna Zajac
چکیده

Following our paper [Linear Algebra Appl. 433(2010), 699–717], we present a framework and computational tools for the Coxeter spectral classification of finite posets J ≡ (J, ⪯). One of themainmotivations for the study is an application ofmatrix representations of posets in representation theory explained by Drozd [Funct. Anal. Appl. 8(1974), 219–225]. We are mainly interested in a Coxeter spectral classification of posets J such that the symmetric Gram matrix GJ := (1/2)[CJ + C tr

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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2013  شماره 

صفحات  -

تاریخ انتشار 2013