DOAJ Open Access 2015

Combinatorial Hopf Algebras of Simplicial Complexes

Carolina Benedetti Joshua Hallam John Machacek

Lihat Sumber DOI

Abstrak

We consider a Hopf algebra of simplicial complexes and provide a cancellation-free formula for its antipode. We then obtain a family of combinatorial Hopf algebras by defining a family of characters on this Hopf algebra. The characters of these Hopf algebras give rise to symmetric functions that encode information about colorings of simplicial complexes and their $f$-vectors. We also use characters to give a generalization of Stanley’s $(-1)$-color theorem.

Topik & Kata Kunci

Mathematics

Penulis (3)

Carolina Benedetti

Joshua Hallam

John Machacek

Format Sitasi

APA MLA BibTeX

Benedetti, C., Hallam, J., Machacek, J. (2015). Combinatorial Hopf Algebras of Simplicial Complexes. https://doi.org/10.46298/dmtcs.2506

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2506

Informasi Jurnal

Tahun Terbit: 2015
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2506
Akses: Open Access ✓