G. Benkart

activity

19982005

most citedThe Recognition Theorem for Graded Lie Algebras of Prime Characteristic

2 citations · 4 across the 6 of their papers we have counts for

collaborators

13 papers

math.RA2005★ 2 cited

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…

math.RA2005

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…

math.QA2005

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…

math.RT2005

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…

math.QA2003★ 2 cited

Irreducible Modules for the Quantum Affine Algebra $U_{q} (s l^_{2})$ and its Borel subalgebra $U_{q} (s l^_{2})^{\geq 0}$

Georgia Benkart, Paul Terwilliger

Let $U_{q} (s l^_{2})^{\geq 0}$ denote the Borel subalgebra of the quantum affine algebra $U_{q} (s l^_{2})$ . We show that the following hold for any choice of scalars $ε_{0}, ε_{1}$ fro…

math.RT2003

A(n,n)-graded Lie superalgebras

G. Benkart, A. Elduque, C. Martinez

We determine the Lie superalgebras over fields of characteristic zero that are graded by the root system A(n,n) of the special linear Lie superalgebra psl(n+1,n+1).