Representations of Some Associative Pseudoalgebras

TL;DR

This paper extends classical duality and Morita theorems to associative H-pseudoalgebras, providing numerous examples over cocommutative Hopf algebras, thereby broadening the theoretical framework of pseudoalgebra representations.

Contribution

It generalizes key algebraic duality and Morita theorems to the setting of associative H-pseudoalgebras and constructs many new examples over cocommutative Hopf algebras.

Findings

Generalized Schur-Weyl duality for H-pseudoalgebras

Extended Morita Theorem to associative H-pseudoalgebras

Constructed numerous associative H-pseudoalgebras over cocommutative Hopf algebras

Abstract

In this paper, we generalize Schur-Weyl duality and Morita Theorem on associative algebras to those on associative $H$-pseudoalgebras. Meanwhile, we get a plenty of associative $H$-pseudoalgebras over a cocommutative Hopf algebra $H$.