BRAUER-CLIFFORD GROUP OF POISSON (S,H)-HOPF ALGEBRAS.

Autor: GUÉDÉNON, THOMAS
Předmět:
Zdroj: Sarajevo Journal of Mathematics; 2023, Vol. 19 Issue 1, p41-62, 22p
Abstrakt: In this paper, we extend the notion of the Brauer-Clifford group to the case of an Azumaya-Poisson (S,H)-Hopf algebra, when H is a commutative Hopf algebra and S is an H-comodule Poisson algebra. This is the situation that arises in applications with connections to algebraic geometry. We give three useful examples: an affine algebraic group acting rationally on a Poisson algebra, a Hopf algebra coacting on the localization of a Poisson algebra and a direct product of Hopf algebras coacting on a direct product of Poisson algebras. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index