Quantum Homogeneous Spaces as Quantum Quotient Spaces
Tomasz Brzezinski
Abstract
We show that certain embeddable homogeneous spaces of a quantum group that do not correspond to a quantum subgroup still have the structure of quantum quotient spaces. We propose a construction of quantum fibre bundles on such spaces. The quantum plane and the general quantum two-spheres are discussed in detail.
Create a lesson
Related papers
Coherence Constraints for Operads, Categories and Algebras
Martin Markl, Steve Shnider
Affine Sergeev Algebra and q-Analogues of the Young Symmetrizers for Projective Representations of the Symmetric Group
Andrew Jones, Maxim Nazarov
Nonsymmetric Koornwinder polynomials and duality
Siddhartha Sahi
Capelli Identities for Classical Lie Algebras
Alexander Molev, Maxim Nazarov
On modules associated to coalgebra Galois extensions
Tomasz Brzezinski
Web bases for sl(3) are not dual canonical
Mikhail Khovanov, Greg Kuperberg