G. Benkart

activity

19962020

most citedRepresentations of Two-Parameter Quantum Groups and Schur-Weyl Duality

36 citations · 196 across the 42 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.RT2013★ 6 cited

McKay Centralizer Algebras

Jeffrey M. Barnes, Georgia Benkart, Tom Halverson

For a finite subgroup $G$ of the special unitary group $S U_{2}$ , we study the centralizer algebra $Z_{k} (G) = E n d_{G} (V^{\otimes k})$ of $G$ acting on the $k$ -fold tensor product of its…

math.CO2013

The Combinatorics of $A_{2}$ -webs

Georgia Benkart, Soojin Cho, Dongho Moon

The nonelliptic $A_{2}$ -webs with $k$ " $+$ "s on the top boundary and $3 n - 2 k$ " $-$ "s on the bottom boundary combinatorially model the space $\mathsf{Hom}_{\mathfrak{sl}_3}(\m…

math.RA2013★ 5 cited

Multiparameter Weyl Algebras

Georgia Benkart

We introduce a family of unital associative algebras A which are multiparameter analogues of the Weyl algebras and determine the simple weight modules and the Whittaker modules for…

McKay Centralizer Algebras

The Combinatorics of A2​-webs

Multiparameter Weyl Algebras

The Combinatorics of $A_{2}$ -webs