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Differential calculus on q Minkowski space

J.A. De Azcarraga
(
- Valencia U.
)
,
F. Rodenas
(
- Valencia U. and
- Valencia, Polytechnic U.
)

Feb, 1994

10 pages

Part of 30th Karpacz Winter School of Theoretical Physics : Quantum Groups : Formalism and Applications : Karpacz, Poland, February 14-26, 1994, 221-230

Contribution to:

30th Karpacz Winter School of Theoretical Physics: Quantum Groups: Formalism and Applications, 221-230

e-Print:

hep-th/9406186 [hep-th]

Report number:

CSIC-E-46100

View in:

ADS Abstract Service

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Abstract:

We wish to report here on a recent approach to the non-commutative calculus on

q

-Minkowski space which is based on the reflection equations with no spectral parameter. These are considered as the expression of the invariance (under the coaction of the

q

-Lorentz group) of the commutation properties which define the different

q

-Minkowski algebras. This approach also allows us to discuss the possible ambiguities in the definition of

q

-Minkowski space

{\cal M}_q

and its differential calculus. The commutation relations among the generators of

{\cal M}_q

(coordinates),

{\cal D}_q

(derivatives),

\Lambda_q

(one-forms) and a few invariant (scalar) operators are established and compared with earlier results.

References(17)

Figures(0)

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)
,
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(
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)

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