A differential calculus on the \(\mathbb{Z}_3\)-graded quantum group \(\mathrm{GL}_q(2)\)

DOI10.1007/s00006-015-0586-1zbMath1345.58005OpenAlexW1141727369MaRDI QIDQ284513

Fatma Bulut, Salih Celik

Publication date: 18 May 2016

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-015-0586-1

zbMATH Keywords

Hopf algebraquantum Lie algebra\(Z_3\)-graded dual quantum plane\(Z_3\)-graded quantum group\(Z_3\)-graded quantum plane

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Geometry of quantum groups (58B32) Ring-theoretic aspects of quantum groups (16T20)

Related Items (1)

Left-covariant differential calculi on GL̃q(2)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncommutative geometry and theoretical physics
• Non-commutative differential geometry
• Compact matrix pseudogroups
• Differential geometry on linear quantum groups
• Covariant \(q\)-differential calculus and its deformations at \(q^N=1\)
• On certain realizations of the \(q\)-deformed exterior differential calculus
• Generalized differential spaces with \(d^N=0\) and the \(q\)-differential calculus
• Remarks on bicovariant differential calculi and exterior Hopf algebras
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Classification of bicovariant differential calculi on quantum groups
• Differential calculi on the quantum group GL_p,q(2)
• Bicovariant differential calculi on GL_p,q(2) and quantum subgroups
• AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS
• Z3-graded differential geometry of the quantum plane
• A Z3-graded generalization of supermatrices
• Covariant differential calculus on the quantum hyperplane

This page was built for publication: A differential calculus on the \(\mathbb{Z}_3\)-graded quantum group \(\mathrm{GL}_q(2)\)