128 citations · 699 across the 35 of their papers we have counts for
35 papers
Elliptic Quantum Groups
Hitoshi Konno
We expose the elliptic quantum groups in the Drinfeld realization associated with both the affine Lie algebra \g and the toroidal algebra \g_tor. There the level-0 and level \not=0…
Elliptic Quantum Toroidal Algebra and Affine Quiver Gauge Theories
Hitoshi Konno, Kazuyuki Oshima
We introduce a new elliptic quantum toroidal algebra . Various representations in the quantum toroidal algebra are extended to the elli…
Elliptic Stable Envelopes and Finite-dimensional Representations of Elliptic Quantum Group
Hitoshi Konno
We construct a finite dimensional representation of the face type, i.e dynamical, elliptic quantum group associated with on the Gelfand-Tsetlin basis of the tensor product o…
Elliptic Weight Functions and Elliptic q-KZ Equation
Hitoshi Konno
By using representation theory of the elliptic quantum group U_{q,p}(sl_N^), we present a systematic method of deriving the weight functions. The resultant sl_N type elliptic weigh…
Elliptic Quantum Groups U_{q,p}(gl_N) and E_{q,p}(gl_N)
Hitoshi Konno
We reformurate a central extension of Felder's elliptic quantum group in the FRST formulation as a topological algebra E_{q,p}(gl_N) over the ring of formal power series in p. We t…
Elliptic Quantum Group U_{q,p}(B_N^{(1)}) and Vertex Operators
Hitoshi Konno, Kazuyuki Oshima
Assuming the existence of the L-operators, we study the Hopf algebroid structure of U_{q,p}(B_N^{(1)}). As an application, we derive the type I and II vertex operators, which inter…