88 citations · 338 across the 28 of their papers we have counts for
5 papers · 1 filter
Noetherian algebras of quantum differential operators
Uma N Iyer, David A Jordan
We consider algebras of quantum differential operators, for appropriate bicharacters on a polynomial algebra in one indeterminate and for the coordinate algebra of quantum -spac…
Prime spectra of ambiskew polynomial rings
Christopher D. Fish, David A. Jordan
We determine criteria for the prime spectrum of an ambiskew polynomial algebra over an algebraically closed field to be akin to those of two of the principal examples of su…
Connected quantized Weyl algebras and quantum cluster algebras
Christopher D. Fish, David A. Jordan
For an algebraically closed field , we investigate a class of noncommutative -algebras called connected quantized Weyl algebras. Such an algebra has a PBW basis for a set of…
Quantum character varieties and braided module categories
David Ben-Zvi, Adrien Brochier, David Jordan
We compute quantum character varieties of arbitrary closed surfaces with boundaries and marked points. These are categorical invariants of a surface , determi…
The Harish-Chandra isomorphism for quantum GL_2
Martina Balagovic, David Jordan
We construct an explicit Harish-Chandra isomorphism, from the quantum Hamiltonian reduction of the algebra D_q(GL_2) of quantum differential operators on GL_2, to the spherical dou…