DERIVATIONS WITH QUANTUM GROUP ACTION

DOI10.1081/AGB-120006481zbMath1006.16051arXivmath/0005106OpenAlexW2042593975MaRDI QIDQ4531136

Ulrich Hermisson

Publication date: 18 November 2002

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0005106

zbMATH Keywords

Hopf algebrasquantum groupsdifferential calculiequivariant derivations

Mathematics Subject Classification ID

Geometry of quantum groups (58B32) Derivations, actions of Lie algebras (16W25)

Related Items

De Rham complex for quantized irreducible flag manifolds ⋮ Noncommutative complex structures on quantum homogeneous spaces ⋮ A Borel-Weil theorem for the quantum Grassmannians ⋮ Quantum bundle description of quantum projective spaces ⋮ Podleś' quantum sphere: dual coalgebra and classification of covariant first-order differential calculus.

Cites Work

• Differential calculus on quantum spheres
• Quantum spheres
• Relative Hopf modules - equivalences and freeness criteria
• The classification of differential structures on quantum 2-spheres
• Construction of covariant differential calculi on quantum homogeneous spaces
• Quantized flag manifolds and irreducible \(*\)-representations
• Classification of three-dimensional covariant differential calculi on Podles' quantum spheres and on related spaces
• Quantum homogeneous spaces, duality and quantum 2-spheres
• Quantum homogeneous spaces with faithfully flat module structures
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Some remarks on the construction of quantum symmetric spaces