Hilbert space representations of cross product algebras II
Konrad Schmuedgen, Elmar Wagner
Abstract
In this paper, we study and classify Hilbert space representations of cross product *-algebras of the quantized enveloping algebra Uq(e2) with the coordinate algebras O(Eq(2)) of the quantum motion group and O(q) of the complex plane, and of the quantized enveloping algebra Uq(su1,1) with the coordinate algebras O(SUq(1,1)) of the quantum group SUq(1,1) and O(Uq) of the quantum disc. Invariant positive functionals and the corresponding Heisenberg representations are explicitely described.
Create a lesson
Related papers
On the Mext groups of sVecR and sVecH
Sean Sanford
Hopf Images of Hopf algebra Coactions
Arnab Bhattacharjee
Magma Automorphisms and Quasi-Linear Cycle Sets
Nigel P. Byott, Edgar Jasko
Unitary TQFTs, unitary disk-like n-categories, and higher Hilbert spaces
Greyson Wesley
Affine quantum Schur--Weyl duality
Qiang Fu, Jun Hu
Braided Hopf algebroids and Lie algebroids
Xiao Han