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math.QA2004★ 7 cited
Sklyanin invariant integration
Hjalmar Rosengren
The Sklyanin algebra admits realizations by difference operators acting on theta functions. Sklyanin found an invariant metric for the action and conjectured an explicit formula fo…
math.QA2001
Duality and self-duality for dynamical quantum groups
Hjalmar Rosengren
We define a natural concept of duality for the h-Hopf algebroids introduced by Etingof and Varchenko. We prove that the special case of the trigonometric SL(2) dynamical quantum gr…
math.QA2000
Harmonic analysis on the SU(2) dynamical quantum group
Erik Koelink, Hjalmar Rosengren
Dynamical quantum groups were recently introduced by Etingof and Varchenko as an algebraic framework for studying the dynamical Yang-Baxter equation, which is precisely the Yang-Ba…