Published July 1995 | Version v1
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On the q-deformation of certain infinite dimensional Lie algebras

  • 1. International Centre for Theoretical Physics, Trieste (Italy)
  • 2. F.S.T.S., Dept. of Mathematics, Settat (Morocco)

Description

A representation of the q-deformed centreless Virasoro algebra in terms of the Gauss derivatives Dx and Dy on the quantum plane Cq[x,y] is given. Moreover, we obtain the deformed version of the algebra of the area-preserving diffeomorphisms of the torus T2. In the end, the correspondence between Psd(q,p,r) and the a-bar∞ algebra is pointed out. (author). 11 refs

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Additional details

Publishing Information

Imprint Pagination
9 p.
Report number
IC--95/163

INIS

Country of Publication
International Atomic Energy Agency (IAEA)
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
26074598
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ALGEBRA; COMMUTATION RELATIONS; FIELD ALGEBRA; GRADED LIE GROUPS; MATHEMATICAL OPERATORS; NONUNITARY REPRESENTATIONS
Descriptors DEC
LIE GROUPS; MATHEMATICS; SYMMETRY GROUPS