14 citations · 20 across the 6 of their papers we have counts for
6 papers
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 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…
Elliptic Algebra U_{q,p}(g^) and Quantum Z-algebras
Rasha M. Farghly, Hitoshi Konno, Kazuyuki Oshima
A new definition of the elliptic algebra U_{q,p}(g^) associated with an untwisted affine Lie algebra g^ is given as a topological algebra over the ring of formal power series in p.…
The Lie algebraic structure of extended Sutherland models
Kazuyuki Oshima
We disclose the Lie algebraic structure of two extended Sutherland models. Their Hamiltonians are BC_N, and A_N Sutherland Hamiltonians with some additional terms. We show that bot…
A spin-shift relation of the Ruijsenaars-Schneider Hamiltonian of type
Kazuyuki Oshima
We constract a spin-shift relation of the trigonometric Ruijsenaars-Schneider Hamiltonian of type . This is a succesive study of our previous paper whose title is " A Spin-Shi…
Spectral Decomposition of Path Space in Solvable Lattice Model
Tomoyuki Arakawa, Tomoki Nakanishi, Kazuyuki Oshima +1
We give the {\it spectral decomposition} of the path space of the $U_q(\hatsl)$ vertex model with respect to the local energy functions. The result suggests the hidden Yangian modu…