4 papers
Elliptic Quantum Toroidal Algebra and Elliptic Stable Envelopes for the Quiver Varieties
Hitoshi Konno, Andrey Smirnov
We propose a new construction of vertex operators of the elliptic quantum toroidal algebra by combining representations of the algebra and fo…
Elliptic Quantum Toroidal Algebra U_{t_1,t_2,p}(gl_{1,tor}), Vertex Operators and L-operators
Hitoshi Konno, Andrey Smirnov
We propose new vertex operators, both the type I and the type II dual, of the elliptic quantum toroidal algebra U_{t_1,t_2,p}(gl_{1,tor}) by combining representations of U_{t_1,t_2…
Gelfand-Tsetlin Bases for Elliptic Quantum Groups
Hitoshi Konno, Kohei Motegi
We study the level-0 representations of the elliptic quantum group . We give a classification theorem of the finite-dimensional irreducible repr…
Elliptic Quantum Toroidal Algebras, Z-algebra Structure and Representations
Hitoshi Konno, Kazuyuki Oshima
We introduce a new elliptic quantum toroidal algebra U_{q,κ,p}(g_tor) associated with an arbitrary toroidal algebra g_tor. We show that U_{q,κ,p}(g_tor) contains two elliptic qua…