On the geometry of inhomogeneous quantum groups
Abstract
The author gives a pedagogical introduction to the differential calculus on quantum groups by stressing at all stages the connection with the classical case. He further analyzes the relation between differential calculus and quantum Lie algebra of left (right) invariant vectorfields. Equivalent definitions of bicovariant differential calculus are studied and their geometrical interpretation is explained. From these data he constructs and analyzes the space of vectorfields, and naturally introduces a contraction operator and a Lie derivative. Their properties are discussed.
- Authors:
-
- Scuola Normale Superiore, Pisa (Italy)
- Publication Date:
- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- USDOE; National Science Foundation (NSF)
- OSTI Identifier:
- 677098
- Report Number(s):
- LBNL-41170
ON: DE98059371; TRN: AHC29821%%233
- DOE Contract Number:
- AC03-76SF00098
- Resource Type:
- Thesis/Dissertation
- Resource Relation:
- Other Information: TH: Thesis (Ph.D.); PBD: Jan 1998
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; QUANTUM GROUPS; DIFFERENTIAL CALCULUS; ALGEBRA; R MATRIX; LIE GROUPS; QUANTUM OPERATORS; DIFFERENTIAL GEOMETRY
Citation Formats
Aschieri, Paolo. On the geometry of inhomogeneous quantum groups. United States: N. p., 1998.
Web. doi:10.2172/677098.
Aschieri, Paolo. On the geometry of inhomogeneous quantum groups. United States. https://doi.org/10.2172/677098
Aschieri, Paolo. 1998.
"On the geometry of inhomogeneous quantum groups". United States. https://doi.org/10.2172/677098. https://www.osti.gov/servlets/purl/677098.
@article{osti_677098,
title = {On the geometry of inhomogeneous quantum groups},
author = {Aschieri, Paolo},
abstractNote = {The author gives a pedagogical introduction to the differential calculus on quantum groups by stressing at all stages the connection with the classical case. He further analyzes the relation between differential calculus and quantum Lie algebra of left (right) invariant vectorfields. Equivalent definitions of bicovariant differential calculus are studied and their geometrical interpretation is explained. From these data he constructs and analyzes the space of vectorfields, and naturally introduces a contraction operator and a Lie derivative. Their properties are discussed.},
doi = {10.2172/677098},
url = {https://www.osti.gov/biblio/677098},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Jan 01 00:00:00 EST 1998},
month = {Thu Jan 01 00:00:00 EST 1998}
}
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