3 papers
math-ph2026
Integrable -graded super-Liouville Equation and Induced -graded super-Virasoro Algebra
Naruhiko Aizawa, Ichi Fujii, Ren Ito +2
We present a framework for enlarging the construction of -graded classical Toda theory from the class of -graded Lie algebras to the class of $\math…
math-ph2026
An integrable hierarchy associated with loop extension of -graded
N. Aizawa, I. Fujii, R. Ito
A hierarchy of -graded integrable equations is constructed using the loop extension of the -graded Lie superalgebra . This hier…
math.RT2026
Graded Casimir Elements and Central Extensions of Color Lie Algebras
Naruhiko Aizawa, N. Aizawa, Ichi Fujii +5
A color Lie algebra is a generalization of a Lie (super)algebra by an Abelian group . The underlying vector space and defining relations of the algebra are graded by , and a…