The quantum group of a preregular multilinear form

Abstract

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

17 pages - Ref. 11 corrected

References in corpus (2)

• Congruence of multilinear forms
• Noncommutative coordinate algebras

Cited by in corpus (4)

• On quantum groups associated to a pair of preregular forms
• The representation theory of noncommutative $\mathcal{O}({\text{GL}}_2)$
• Twisting of graded quantum groups and solutions to the quantum Yang-Baxter equation
• Woronowicz construction of compact quantum groups for functions on permutations. Classification result for N=3