Владимир Андреевич Побережный

Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version

2022 · Theoretical and Mathematical Physics

The discrete KP hierarchy and its strict version are both deformations of the commutative algebra $$k[\Lambda]$$ inside the algebra $$ \mathrm{Ps}\kern1.1pt\Delta $$ of pseudo-difference operators, where $$\Lambda$$ is the $$\mathbb{Z}\times\mathbb{Z}$$ -matrix corresponding to the shift …