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Recursion operators of the N=2 supersymmetric unconstrained matrix GNLS hierarchies
A super-algebraic formulation of the N=2 supersymmetric unconstrained matrix
(k|n,m)-MGNLS hierarchies (nlin.SI/0201026) is established. Recursion
operators, fermionic and bosonic symmetries as well as their superalgebra are
constructed for these hierarchies.Comment: 9 page
The Full Structure of Quantum Super- Algebra
We present the complete structure of the nonlinear super extension of
Polyakov-Bershadsky, , algebra with the generic central charge, ,
at the {\it quantum} level. It contains extra two pairs of fermionic currents
with integer spins 1 and 2, besides the currents of superconformal and
algebras. For limit, the algebra reduces to
the classical one, which has been studied previously. The 'hybrid' field
realization of this algebra is also discussed.Comment: 8 pages, latex, no figure
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