  Casimir operators -- the generators of the center of the enveloping algebra
-- are described for simple or close to them ``classical'' finite dimensional
Lie superalgebras with nondegenerate symmetric even bilinear form in Sergeev
A., The invariant polynomials on simple Lie superalgebras. Represent. Theory 3
(1999), 250--280; math-RT/9810111 and for the ``queer'' series in Sergeev A.,
The centre of enveloping algebra for Lie superalgebra Q(n, C). Lett. Math.
Phys. 7, no. 3, 1983, 177--179. Here we consider the remaining cases, and state
conjectures proved for small values of parameter.
  Under deformation (quantization) the Poisson Lie superalgebra po(0|2n) on
purely odd superspace turns into gl(2^{n-1}|2^{n-1}) and, conjecturally, the
lowest terms of the Taylor series expansion with respect to the deformation
parameter (Planck's constant) of the Casimir operators for gl(2^{n-1}|2^{n-1})
are the Casimir operators for po(0|2n). Similarly, quantization sends
po(0|2n-1) into q(2^{n-1}) and the above procedure makes Casimir operators for
q(2^{n-1}) into same for po(0|2n-1).
  Casimir operators for the Lie superalgebra vect(0|m) of vector fields on
purely odd superspace are only constants for m>2. Conjecturally, same is true
for the Lie superalgebra svect(0|m) of divergence free vector fields, and its
deform, for m>3.
  Invariant polynomials on po(0|2n-1) are also described. They do not
correspond to Casimir operators.
