Dec 2 – 3, 2020
Le Bois-Marie
Europe/Paris timezone

Kleene Stars in Shuffle Algebras

Dec 3, 2020, 1:30 PM
50m

Speaker

Gérard H. E. Duchamp (Université de Paris 13, LIPN)

Description

We present some bialgebras and their monoid of characters. We entend, to the case of some rings, the well-known theorem (in the case when the scalars form a field) about linear independence of characters. Examples of algebraic independence of subfamilies and identites derived from their groups (or monoids) of characters are *provided. In this framework, we detail the study of one-parameter groups of characters. It is a joint work (arXiv:2009.10970) with Darij Grinberg (Drexel Universiy, Philadelphia, US / currently Germany) and Hoang Ngoc Minh (LIPN, Paris XIII University).

Presentation materials