$q$ Deformed Jacobi Identity, $q$ Oscillators and $q$ Deformed Infinite Dimensional Algebras

Chaichian, M.; Kulish, P.; Lukierski, J.

doi:10.1016/0370-2693(90)91196-I

$q$ Deformed Jacobi Identity, $q$ Oscillators and $q$ Deformed Infinite Dimensional Algebras

M. Chaichian
(
- Helsinki U.
)
,
P. Kulish
(
- Steklov Math. Inst., St. Petersburg
)
,
J. Lukierski
(
- Helsinki U.
)

Jan, 1990

6 pages

Published in:

Phys.Lett.B 237 (1990) 401-406

Published: 1990

DOI:

10.1016/0370-2693(90)91196-I

Report number:

HU-TFT-90-5

View in:

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Abstract: (Elsevier)

We present the general q -deformed Jacobi identity and apply it to the discussion of defining relations for q -oscillators. Further we derive the oscillator realization of q -deformed centreless Virasoro, and we consider the q -deformations of the super Virasoro as well as W ∞ infinite-dimensional algebras. We present the q -oscillator representations of q -deformed osp(1|2), osp(2|2) and propose the construction for the case of q -deformed osp(2 N |2).

algebra: Virasoro
algebra: representation
oscillator: representation
supersymmetry
algebra: Jacobi identity
algebra: conformal

References(17)

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