From exponential coordinates to bicovariant differential calculi on matrix quantum groups

N. van den Hijligenberg, N.W. van den Hijligenberg, Ruud Martini

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Abstract

A procedure to obtain bicovariant differential calculi on matrix quantum groups is presented. The construction is based on the description of the matrix quantum group as a quantized universal enveloping algebra by the use of exponential coordinates. The procedure is illustrated by applying it to the two-dimensional solvable quantum group and the Heisenberg quantum group.
Original languageEnglish
Place of PublicationAmsterdam
PublisherStichting Mathematisch Centrum
Number of pages11
Publication statusPublished - 1995

Publication series

NameReport / Department of Algebra, Analysis and Geometry
PublisherStichting Mathematisch Centrum
No.AM-R9518

Fingerprint

Matrix Groups
Differential Calculus
Quantum Groups
Quantized Enveloping Algebra
Universal Enveloping Algebra
Solvable Group
Heisenberg Group

Keywords

  • METIS-141349
  • IR-102314

Cite this

van den Hijligenberg, N., van den Hijligenberg, N. W., & Martini, R. (1995). From exponential coordinates to bicovariant differential calculi on matrix quantum groups. (Report / Department of Algebra, Analysis and Geometry; No. AM-R9518). Amsterdam: Stichting Mathematisch Centrum.
van den Hijligenberg, N. ; van den Hijligenberg, N.W. ; Martini, Ruud. / From exponential coordinates to bicovariant differential calculi on matrix quantum groups. Amsterdam : Stichting Mathematisch Centrum, 1995. 11 p. (Report / Department of Algebra, Analysis and Geometry; AM-R9518).
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van den Hijligenberg, N, van den Hijligenberg, NW & Martini, R 1995, From exponential coordinates to bicovariant differential calculi on matrix quantum groups. Report / Department of Algebra, Analysis and Geometry, no. AM-R9518, Stichting Mathematisch Centrum, Amsterdam.

From exponential coordinates to bicovariant differential calculi on matrix quantum groups. / van den Hijligenberg, N.; van den Hijligenberg, N.W.; Martini, Ruud.

Amsterdam : Stichting Mathematisch Centrum, 1995. 11 p. (Report / Department of Algebra, Analysis and Geometry; No. AM-R9518).

Research output: Book/ReportReportProfessional

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AB - A procedure to obtain bicovariant differential calculi on matrix quantum groups is presented. The construction is based on the description of the matrix quantum group as a quantized universal enveloping algebra by the use of exponential coordinates. The procedure is illustrated by applying it to the two-dimensional solvable quantum group and the Heisenberg quantum group.

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van den Hijligenberg N, van den Hijligenberg NW, Martini R. From exponential coordinates to bicovariant differential calculi on matrix quantum groups. Amsterdam: Stichting Mathematisch Centrum, 1995. 11 p. (Report / Department of Algebra, Analysis and Geometry; AM-R9518).