34 citations · 312 across the 53 of their papers we have counts for
8 papers · 1 filter
A new product formula for , with applications to asymptotics
Arash Arabi Ardehali, Hjalmar Rosengren
We express the -Pochhammer symbol as an infinite product of gamma functions, analogously to how Narukawa expressed the elliptic gamma function as an infinite prod…
From Kajihara's transformation formula to deformed Macdonald-Ruijsenaars and Noumi-Sano operators
Martin Hallnäs, Edwin Langmann, Masatoshi Noumi +1
Kajihara obtained in 2004 a remarkable transformation formula connecting multiple basic hypergeometric series associated with -type root systems of different ranks. By multiple…
Evaluation modules for the -tetrahedron algebra
Tatsuro Ito, Hjalmar Rosengren, Paul Terwilliger
Let denote an algebraically closed field, and fix a nonzero that is not a root of unity. We consider the -tetrahedron algebra over $\…
Felder's elliptic quantum group and elliptic hypergeometric series on the root system A_n
Hjalmar Rosengren
We introduce a generalization of elliptic 6j-symbols, which can be interpreted as matrix elements for intertwiners between corepresentations of Felder's elliptic quantum group. For…
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…
Elliptic U(2) quantum group and elliptic hypergeometric series
Erik Koelink, Yvette van Norden, Hjalmar Rosengren
We investigate an elliptic quantum group introduced by Felder and Varchenko, which is constructed from the -matrix of the Andrews-Baxter-Forrester model, containing both spectra…
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…
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…