Quantization of differential calculi on universal enveloping algebras

N. van den Hijligenberg; Gerhard F. Post; N.W. van den Hijligenberg; Ruud Martini

doi:10.1063/1.531592

Quantization of differential calculi on universal enveloping algebras

N. van den Hijligenberg, Gerhard F. Post, N.W. van den Hijligenberg, Ruud Martini

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

A method to construct differential calculi on quantized universal enveloping algebras is discussed. These differential calculi are obtained by quantizing calculi on 'classical' enveloping algebras provided with appropriate co‐Poisson structures. The procedure is demonstrated by applying it to the standard quantizations of the Heisenberg algebra and the algebragl(2).

Original language	Undefined
Pages (from-to)	4166-4175
Number of pages	10
Journal	Journal of mathematical physics
Volume	37
DOIs	https://doi.org/10.1063/1.531592
Publication status	Published - 1996

Keywords

METIS-140405
IR-102318

Access to Document

10.1063/1.531592

http://dx.doi.org/10.1063/1.531592

Cite this

@article{a22668fc136b46018769227c86cf5aa5,

title = "Quantization of differential calculi on universal enveloping algebras",

abstract = "A method to construct differential calculi on quantized universal enveloping algebras is discussed. These differential calculi are obtained by quantizing calculi on 'classical' enveloping algebras provided with appropriate co‐Poisson structures. The procedure is demonstrated by applying it to the standard quantizations of the Heisenberg algebra and the algebragl(2).",

keywords = "METIS-140405, IR-102318",

author = "{van den Hijligenberg}, N. and Post, {Gerhard F.} and {van den Hijligenberg}, N.W. and Ruud Martini",

year = "1996",

doi = "10.1063/1.531592",

language = "Undefined",

volume = "37",

pages = "4166--4175",

journal = "Journal of mathematical physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

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TY - JOUR

T1 - Quantization of differential calculi on universal enveloping algebras

AU - van den Hijligenberg, N.

AU - Post, Gerhard F.

AU - van den Hijligenberg, N.W.

AU - Martini, Ruud

PY - 1996

Y1 - 1996

N2 - A method to construct differential calculi on quantized universal enveloping algebras is discussed. These differential calculi are obtained by quantizing calculi on 'classical' enveloping algebras provided with appropriate co‐Poisson structures. The procedure is demonstrated by applying it to the standard quantizations of the Heisenberg algebra and the algebragl(2).

AB - A method to construct differential calculi on quantized universal enveloping algebras is discussed. These differential calculi are obtained by quantizing calculi on 'classical' enveloping algebras provided with appropriate co‐Poisson structures. The procedure is demonstrated by applying it to the standard quantizations of the Heisenberg algebra and the algebragl(2).

KW - METIS-140405

KW - IR-102318

U2 - 10.1063/1.531592

DO - 10.1063/1.531592

M3 - Article

VL - 37

SP - 4166

EP - 4175

JO - Journal of mathematical physics

JF - Journal of mathematical physics

SN - 0022-2488

ER -