Two-Parameter Quantum Groups and Drinfel'd Doubles Academic Article uri icon

abstract

  • We investigate two-parameter quantum groups corresponding to the general linear and special linear Lie algebras gln and sln. We show that these quantum groups can be realized as Drinfel'd doubles of certain Hopf subalgebras with respect to Hopf pairings. Using the Hopf pairing, we construct a corresponding R-matrix and a quantum Casimir element. We discuss isomorphisms among these quantum groups and connections with multiparameter quantum groups. quantum group, Drinfel'd double, R-matrix.

published proceedings

  • Algebras and Representation Theory

author list (cited authors)

  • Benkart, G., & Witherspoon, S.

citation count

  • 45

complete list of authors

  • Benkart, Georgia||Witherspoon, Sarah

publication date

  • August 2004