Quantum determinants

1994/06/26 by Ulrich Meyer, Meyer, Ulrich
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.hep-th/9406172

openalex publication_date 1994/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show how to construct central and grouplike quantum determinants for FRT algebras A(R). As an application of the general construction we give a quantum determinant for the q-Lorentz group.

Related

• On quantum group GL_p,q(2)
• Quantum determinants and quasideterminants
• RE-algebras, quasi-determinants and the full Toda system
• Determinants in Quantum Matrix Algebras and Integrable Systems
• Representations at a Root of Unity of q-Oscillators and Quantum Kac-Moody algebras