5 citations · 9 across the 2 of their papers we have counts for
5 papers
Classification of bicovariant differential calculi on the Jordanian quantum groups GL_{g,h}(2) and SL_{h}(2) and quantum Lie algebras
Andrew D. Jacobs, J. F. Cornwell
We classify all 4-dimensional first order bicovariant calculi on the Jordanian quantum group GL_{h,g}(2) and all 3-dimensional first order bicovariant calculi on the Jordanian quan…
Twisting 2-cocycles for the construction of new non-standard quantum groups
Andrew D. Jacobs, J. F. Cornwell
We introduce a new class of 2-cocycles defined explicitly on the generators of certain multiparameter standard quantum groups. These allow us, through the process of twisting the f…
Abstract carrier space formalism for the irreducible tensor operators of compact quantum group algebras
J. F. Cornwell
Defining conditions for irreducible tensor operators associated with the unitary irreducible corepresentations of compact quantum group algebras are deduced within the framework of…
Irreducible tensor operators in the regular coaction formalisms of compact quantum group algebras
J. F. Cornwell
The defining conditions for the irreducible tensor operators associated with the unitary irreducible corepresentions of compact quantum group algebras are deduced first in both the…
Conjugacy classes of involutive automorphisms of the affine Kac-Moody algebras
S. P. Clarke, J. F. Cornwell
The conjugacy classes of the involutive automorphisms of the affine Kac-Moody algebras \Cli\ for are determined using the matrix formulation of automorphisms of an aff…