Hopf Algebra And Rota-Baxter Algebra On The Angulary Decorated Rooted Forest

Posted on:2020-04-28

Degree:Master

Type:Thesis

Country:China

Candidate:A Q Xu

Full Text:PDF

GTID:2370330575965018

Subject:Basic mathematics

Abstract/Summary:

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In this paper,we construct a free non-commutative unitary Rota-Baxter algebra R on angularly rooted forests.Furthermore,we equip this Rota-Baxter with a bialgebraic structure and further a Hopf algebraic structure,involving a construction of a combinatorical coproduct.Last,we construct a Hopf algebra on the bialgebra.

Keywords/Search Tags:

Rota-Baxter algebra, rooted tree, rooted forest, coproduct, bialgebra, Hopf algebra

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