Academic Report
Title: Stem extensions and cohomology groups of Li Chao Algebras
Reporter: Prof.LIU Wende(harbin normal university)
Time: November 17, 2018 (Saturday) AM 10:00-11:00
Location: A1101# room, Innovation Park Building
Contact: Prof. WANG Ying (tel:84708351-8020)
Abstract: Suppose that the underlying field is of characteristic different from 2, 3. We first prove thatthe so-called stem deformations of a free presentations of a finite-dimensional Lie superalgebra L exhaust all the maximal stem extensions ofL, up to equivalence of extensions. Then we prove that multipliers and covers always exist for a Liesuperalgebraand they are unique up to Lie superalgebraisomorphisms. We also show that the second cohomology group with coefficients in the trivial module is isomorphic to the multiplier for L. Finally, we describe the multipliers, covers and maximal stem extensions of Heisenberg superalgebras and model filiform Lie superalgebras.
The brief introduction to the reporter: Professor Liu Wende is mainly engaged in the research of the classification and representation of modular Li Chao algebras and the homology of Li Chao algebras. He presided over the projects of the National Natural Science Foundation of China and the Outstanding Youth Science Foundation of Heilongjiang Province, and published more than 50 academic papers in international academic journals.
