Integral bases for twisted multiloop algebras with diagram automorphism actions

TL;DR

This paper constructs integral forms and explicit bases for the universal enveloping algebras of twisted multiloop algebras with diagram automorphisms, advancing the understanding of their algebraic structure.

Contribution

It introduces new integral bases for these algebras, providing explicit constructions that were not previously available.

Findings

Explicit integral bases for twisted multiloop algebra enveloping algebras

Construction of integral forms for these algebras

Enhanced understanding of their algebraic structure

Abstract

We construct integral forms for the universal enveloping algebras of certain twisted multiloop algebras and explicit integral bases for these integral forms.