TL;DR
This paper develops a method to construct quantum determinants for FRT algebras and applies it to define a quantum determinant for the q-Lorentz group, advancing the understanding of quantum group structures.
Contribution
It introduces a general construction of quantum determinants for FRT algebras and provides a specific quantum determinant for the q-Lorentz group.
Findings
Constructed central and grouplike quantum determinants for FRT algebras.
Provided a quantum determinant for the q-Lorentz group.
Enhanced the algebraic framework of quantum groups.
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research