36 citations · 196 across the 42 of their papers we have counts for
6 papers · 1 filter
The Universal Central Extension of the Three-point sl_2 Loop Algebra
Georgia Benkart, Paul Terwilliger
We give a presentation of the universal central extension of the three-point loop algebra L over sl_2 by generators and relations. Our presentation arises from the realization of L…
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…
Level 1 Perfect Crystals and Path Realizations of Basic Representations at q=0
Georgia Benkart, Igor Frenkel, Seok-Jin Kang +1
We present a uniform construction of level 1 perfect crystals for all affine Lie algebras. We also introduce the notion of a crystal algebra and give an explicit descr…
Quantum Group Actions, Twisting Elements, and Deformations of Algebras
Georgia Benkart, Sarah Witherspoon
We construct twisting elements for module algebras of restricted two-parameter quantum groups from factors of their R-matrices. We generalize the theory of Giaquinto and Zhang to u…
The centroid of extended affine and root graded Lie algebras
Georgia Benkart, Erhard Neher
We develop general results on centroids of Lie algebras and apply them to determine the centroid of extended affine Lie algebras, loop-like and Kac-Moody Lie algebras, and Lie alge…