3 papers
nlin.SI2004
Factorization methods for Noncommutative KP and Toda hierarchy
M. Sakakibara
We show that the solution space of the noncommutative KP hierarchy is the same as that of the commutative KP hierarchy owing to the Birkhoff decomposition of groups over the noncom…
math-ph2004
On the Differential equations of the characters for the Renormalization group
Masato Sakakibara
Owing to the analogy between the Connes-Kreimer theory of the renormalization and the integrable systems, we derive the differential equations of the unit mass for the renormalized…
math-ph2002
Notes on the Super Nambu Bracket
M. Sakakibara
We define a super Nambu-Poisson algebra over a super manifold. A super Nambu bracket does not satisfy the usual skew-symmetric property, and we propose another skew-symmetric prope…