Ws. Chung et al., THE Q-DEFORMED POISSON BRACKET, LEVI-CIVITA SYMBOL AND POINCARE ALGEBRA, Journal of physics. A, mathematical and general, 27(6), 1994, pp. 2061-2073
In this paper we use a special choice of the GL(X,qij) (2N) quantum pl
ane and its differential calculus for a q-deformed phase space to defi
ne a modified Poisson bracket and construct the contraction rule for t
he q-deformed Levi-Civita symbol. We find the q-deformed phase-space v
ariable realization of the so(q) (3) and q-deformed Poincare algebras.