The quantum group of a preregular multilinear form

TL;DR

This paper introduces a universal quantum group that preserves a preregular multilinear form, providing an explicit finite presentation of the associated Hopf algebra, advancing the understanding of quantum symmetries in multilinear algebra.

Contribution

It offers a novel explicit finite presentation of the Hopf algebra associated with the quantum group preserving a preregular multilinear form.

Findings

Explicit finite presentation of the Hopf algebra

Universal quantum group construction for preregular forms

Advancement in quantum symmetry understanding

Abstract

We describe the universal quantum group preserving a preregular multilinear form, by means of an explicit finite presentation of the corresponding Hopf algebra.