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Can I read Hopf Algebras and Edge-Labeled Posets on EtoBox?
Hopf Algebras and Edge-Labeled Posets by Nantel Bergeron; Frank Sottile is a Mathematics article available to read on EtoBox.
What is Hopf Algebras and Edge-Labeled Posets about?
Given a finite graded poset with labeled Hasse diagram, we construct a quasisymmetric generating function for chains whose labels have fixed descents. This is a common generalization of a generating function for the flag f-vector defined by Ehrenborg and of a symmetric function associated with certain edge-labeled posets that arose in the theory of Schubert polynomials. We show that this construction gives a Hopf morphism from an incidence Hopf algebra of edge-labeled posets to the Hopf algebra of quasi-symmetric functions.
Who reads Hopf Algebras and Edge-Labeled Posets?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Nantel Bergeron; Frank Sottile
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 1999
- Language
- EN
- Field
- Mathematics (Physical Sciences)