A construction of solutions of an integrable deformation of a commutative Lie algebra of skew hermitian $\mathbb{Z}\times \mathbb{Z}$-matrices

Aloysius Helminck, Gerardus Helminck

Inside the algebra $L{T}_{\mathbb{Z}}(R)$ of $\mathbb{Z}\times \mathbb{Z}$-matrices with coefficients from a commutative $\mathbb{C}$-algebra $R$ that have only a finite number of n…