Ichiro Fujii

collaborators

4 papers

nlin.SI2026

An integrable $Z_{2}^{2}$ -graded extension of Camassa-Holm equation and its bi-Hamiltonian structure

N. Aizawa, Ichi Fujii, Ren Ito +1

By constructing Lax operators in the loop algebra of the $Z_{2}^{2}$ -graded extension of the Lie superalgebra $osp (1∣2)$ , we derive a $Z_{2}^{2}$ -graded extens…

math.RT2026

Graded Casimir Elements and Central Extensions of Color Lie Algebras

Naruhiko Aizawa, Ichi Fujii, Jambulingam Segar +1

A color Lie algebra is a generalization of a Lie (super)algebra by an Abelian group $Γ$ . The underlying vector space and defining relations of the algebra are graded by $Γ$ , and a…

math-ph2025

Integrable $Z_{2}^{2}$ -graded super-Liouville Equation and Induced $Z_{2}^{2}$ -graded super-Virasoro Algebra

Naruhiko Aizawa, Ichi Fujii, Ren Ito +2

We present a framework for enlarging the construction of $Z_{2}^{2}$ -graded classical Toda theory from the class of $Z_{2}^{2}$ -graded Lie algebras to the class of $\math…

math-ph2025

An integrable hierarchy associated with loop extension of $Z_{2}^{2}$ -graded $osp (1∣2)$

N. Aizawa, I. Fujii, R. Ito

A hierarchy of $Z_{2}^{2}$ -graded integrable equations is constructed using the loop extension of the $Z_{2}^{2}$ -graded Lie superalgebra $osp (1∣2)$ . This hier…

An integrable Z22​-graded extension of Camassa-Holm equation and its bi-Hamiltonian structure

Graded Casimir Elements and Central Extensions of Color Lie Algebras

Integrable Z22​-graded super-Liouville Equation and Induced Z22​-graded super-Virasoro Algebra

An integrable hierarchy associated with loop extension of Z22​-graded osp(1∣2)

An integrable $Z_{2}^{2}$ -graded extension of Camassa-Holm equation and its bi-Hamiltonian structure

Integrable $Z_{2}^{2}$ -graded super-Liouville Equation and Induced $Z_{2}^{2}$ -graded super-Virasoro Algebra

An integrable hierarchy associated with loop extension of $Z_{2}^{2}$ -graded $osp (1∣2)$