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

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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.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).

math.RT2001

Derangements and tensor powers of adjoint modules for sl_n

Georgia Benkart, Stephen Doty

We obtain the decomposition of the tensor space $sl_{n}^{\otimes k}$ as a module for $sl_{n}$ , find an explicit formula for the multiplicities of its irreducible…

math.RT1998

The Polynomial Behavior of Weight Multiplicities for the Affine Kac-Moody Algebras $A_{r}^{(1)}$

Georgia Benkart, Seok-Jin Kang, Hyeonmi Lee +2

We prove that the multiplicity of an arbitrary dominant weight for an integrable highest weight representation of the affine Kac-Moody algebra $A_{r}^{(1)}$ is a polynomial in the…

The centroid of extended affine and root graded Lie algebras

A(n,n)-graded Lie superalgebras

Derangements and tensor powers of adjoint modules for sl_n

The Polynomial Behavior of Weight Multiplicities for the Affine Kac-Moody Algebras Ar(1)​

The Polynomial Behavior of Weight Multiplicities for the Affine Kac-Moody Algebras $A_{r}^{(1)}$