• Published 2010

THE HOPF ALGEBRA OF MÖBIUS INTERVALS

@inproceedings{Lawvere2010THEHA,
  title={THE HOPF ALGEBRA OF M{\"O}BIUS INTERVALS},
  author={F. William Lawvere and Mat{\'i}as Menni},
  year={2010}
}
An unpublished result by the first author states that there exists a Hopf algebra H such that for any Möbius category C (in the sense of Leroux) there exists a canonical algebra morphism from the dual H∗ of H to the incidence algebra of C. Moreover, the Möbius inversion principle in incidence algebras follows from a ‘master’ inversion result in H∗. The underlying module of H was originally defined as the free module on the set of iso classes of Möbius intervals, i.e. Möbius categories with… CONTINUE READING

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