K. Oshima

activity

19952021

most citedSpectral Decomposition of Path Space in Solvable Lattice Model

14 citations · 20 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.QA2021★ 1 cited

Elliptic Quantum Toroidal Algebra $U_{q, t, p} (g l_{1, t or})$ and Affine Quiver Gauge Theories

Hitoshi Konno, Kazuyuki Oshima

We introduce a new elliptic quantum toroidal algebra $U_{q, t, p} (g l_{1, t or})$ . Various representations in the quantum toroidal algebra $U_{q, t} (g l_{1, t or})$ are extended to the elli…

math.QA2014★ 2 cited

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…

math.QA2014★ 3 cited

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.…

Elliptic Quantum Toroidal Algebra Uq,t,p​(gl1,tor​) and Affine Quiver Gauge Theories

Elliptic Quantum Group U_{q,p}(B_N^{(1)}) and Vertex Operators

Elliptic Algebra U_{q,p}(g^) and Quantum Z-algebras

Elliptic Quantum Toroidal Algebra $U_{q, t, p} (g l_{1, t or})$ and Affine Quiver Gauge Theories