G. Benkart

activity

19982008

most citedThe Recognition Theorem for Graded Lie Algebras of Prime Characteristic

2 citations · 4 across the 7 of their papers we have counts for

collaborators

Showing 1998Show all

2 papers · 1 filter

math.QA1998

Crystal Bases for the Quantum Superalgebra $U_{q} (g l (m, n))$

Georgia Benkart, Seok-Jin Kang, Masaki Kashiwara

We develop a crystal base theory for the general linear Lie superalgebra $g l (m, n)$ . We prove that any irreducible $U_{q} (g l (m, n))$ -module in some category has a crystal base, and pro…

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…

Crystal Bases for the Quantum Superalgebra Uq​(gl(m,n))

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

Crystal Bases for the Quantum Superalgebra $U_{q} (g l (m, n))$

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