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Covariant differential calculus on quantum spheres of odd dimension

✍ Scribed by Martin Welk

Book ID
110409806
Publisher
Springer
Year
1998
Tongue
English
Weight
357 KB
Volume
48
Category
Article
ISSN
0011-4626

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πŸ“œ SIMILAR VOLUMES

Differential calculus on quantum spheres
Differential calculus on quantum spheres
✍ Piotr PodleΕ› πŸ“‚ Article πŸ“… 1989 πŸ› Springer 🌐 English βš– 429 KB

Three-dimensional differential calculus on quantum spheres SZu~, # E ] -1, 1[\{0}, c e [0, c~], is introduced and Investigated. Spectra of generalized Laplacians are found. These operators are expressed by generalized directional derivatives. Classical limits of these objects are obtained and a simp

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PodleΕ›' quantum sphere: dual coalgebra and classification of covariant first-order differential calculus
✍ IstvΓ‘n Heckenberger; Stefan Kolb πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 212 KB

The dual coalgebra of PodleΕ›' quantum sphere O q (S 2 c ) is determined explicitly. This result is used to classify all finite-dimensional covariant first-order differential calculi over O q (S 2 c ) for all but exceptional values of the parameter c.