Published 1990 | Version v1
Report Open

Quantum maps for deformed algebras

Description

We find explicit functionals that map SU(2) algebra generators to those of several quantum deformations of that algebra. We indicate how any such quantized algebra can be mapped to any other, and how representations of any such algebra can be expressed as simple functions of SU(2) representations. The representation theory and its comultiplication rules are thus systematized and streamlined by direct reference to their SU(2) correspondents. We speculate on quantum deformations of the Virasoro algebra. 13 refs

Availability note (English)

MF available from INIS under the Report Number; NTIS, PC A02/MF A01 as DE90010583; OSTI; INIS; US Govt. Printing Office Dep.

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Additional details

Publishing Information

Imprint Pagination
5 p.
Report number
ANL-HEP-CP--90-07

Conference

Title
General meeting of the Division of Particles and Fields of the American Physical Society.
Dates
3-6 Jan 1990.
Place
Houston, TX (USA).

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
21090969
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
COMMUTATION RELATIONS; MAPS; QUANTUM MECHANICS; SU-2 GROUPS
Descriptors DEC
LIE GROUPS; MECHANICS; SU GROUPS; SYMMETRY GROUPS

Optional Information

Contract/Grant/Project number
Contract W-31109-ENG-38
Secondary number(s)
CONF-900135--4.