2 citations · 4 across the 6 of their papers we have counts for
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The Recognition Theorem for Graded Lie Algebras of Prime Characteristic
Georgia Benkart, Thomas Gregory, Alexander Premet
The Recognition Theorem for graded Lie algebras is an essential ingredient in the classification of finite-dimensional simple Lie algebras over an algebraically closed field of cha…
Lie G-Tori of Symplectic Type
Georgia Benkart, Yoji Yoshii
We classify centerless Lie G-tori of type C_r including the most difficult case r=2 by applying techniques due to Seligman. In particular, we show that the coordinate algebra of a…
Lie Superalgebras Graded by the Root System
Georgia Benkart, Alberto Elduque
We determine the Lie superalgebras that are graded by the root systems of the basic classical simple Lie superalgebras of type A.
Weyl algebra modules
Viktor Bekkert, Georgia Benkart, Vyacheslav Futorny
We investigate weight modules for finite and infinite Weyl algebras, classifying all such simple modules. We also study the representation type of the blocks of locally-finite weig…