On the geometry of inhomogeneous quantum groups

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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.

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188 p.

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Aschieri, P. January 1, 1998.

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This thesis or dissertation is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this document can be viewed below.

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  • Aschieri, P. Lawrence Berkeley National Lab., CA (United States). Physics Div.

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Description

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.

Physical Description

188 p.

Notes

OSTI as DE98059371

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  • Other Information: TH: Thesis (Ph.D.)

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  • Other: DE98059371
  • Report No.: LBNL--41170
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 677098
  • Archival Resource Key: ark:/67531/metadc704442

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Office of Scientific & Technical Information Technical Reports

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Creation Date

  • January 1, 1998

Added to The UNT Digital Library

  • Sept. 12, 2015, 6:31 a.m.

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  • Jan. 19, 2018, 2 p.m.

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Aschieri, P. On the geometry of inhomogeneous quantum groups, thesis or dissertation, January 1, 1998; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc704442/: accessed June 17, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.