Deformations of Symmetric Simple Modular Lie (Super)Algebras

We say that a Lie (super)algebra is ''symmetric'' if with every root (with respect to the maximal torus) it has opposite of same multiplicity. Over algebraically closed fields positive characteristics (up 7 or 11, enough formulate general conjecture), we computed cohomology corresponding infinitesimal deformations all known simple finite-dimensional symmetric (super)algebras rank $<9$, except for superizations algebras ADE systems, and queerified algebras, considered only partly. The moduli any superalgebra constitute supervariety. Any deformation given by odd cocycleis integrable. All cocycles are new. Among new results classifications describing deforms (results deformations) 29-dimensional Brown algebra in characteristic 3, Weisfeiler-Kac orthogonal without Cartan matrix 2. Open problems: describe non-isomorphic equivalence classes theories. Appendix: For several modular analogs complex indigenous 3 2, space trivial coefficients. show natural multiplication this very complicated.