Title: The descriptions of solvable Lie superalgebras of maximal rank
Reporter：Bakhrom Omirov
Work Unit：National University of Uzbekistan
Time：Nov.30, 13:30-14:30
Address：313 Zhengxin Building
Summary of the report:
This report is devoted to the study of the structures of complex Lie superalgebras of maximum rank. Under certain conditions, we will give estimates for upper bounds on the dimensions of subspaces complementary to nilradicals and show that an arbitrary solvable Lie superalgebra of maximal rank is isomorphic to a maximal solvable extension of a nilradical of maximal rank. Some other additional results related to cohomology groups of solvable Lie algebras of maximum rank will be discussed.
Introduction of the Reporter:
Bakhrom Omirov is a professor at the National University of Uzbekistan. His research focused on non-associative algebras and superalgebras. In particular, he is one of the authors of the monograph devoted to the structure theory of Leibniz algebras. Bakhrom Omirov is a member of The World Academy of Sciences, which includes 66 countries), as well as Uzbek and American Societies.
He is a winner of several prestigious fellowships (Fulbright, USA; INTAS, Belgium).
