Homogeneous Spaces: From the Classical to the Quantum Case

Andreas Arvanitoyeorgos () and Demosthenes Ellinas ()
Additional contact information
Andreas Arvanitoyeorgos: University of Essex-England, The British Council-Athens
Demosthenes Ellinas: University of Crete, Department of Mathematics

A chapter in New Developments in Differential Geometry, Budapest 1996, 1999, pp 39-51 from Springer

Abstract: Abstract The formalism of a classical homogeneous spase is encoded by using the language of Hopf algebras. In this way a natural definition of a quantum homogeneous space is presented. We study the simplest case of a quantum 2-sphere, and investigate its tangent space via pseudo-vector fields. A quantum analogue of the polar decomposition for the coordinates of this quantum sphere is also investigated.

Keywords: Homogeneous Space; Quantum Group; Stereographic Projection; Polar Decomposition; Quantum Case (search for similar items in EconPapers)
Date: 1999
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-011-5276-1_2

Ordering information: This item can be ordered from
http://www.springer.com/9789401152761

DOI: 10.1007/978-94-011-5276-1_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().