Local matrix generalizations of $W$-algebras

Abstract

In this paper, we propose local matrix generalizations of the classical $W$-algebras based on the second Hamiltonian structure of the ${\mathcal{Z}}_m$-valued KP hierarchy, where ${\mathcal{Z}}_m$ is a maximal commutative subalgebra of $gl(m,\mathbb{C})$.

We will rewrite this paper by considering general cases

Cited by in corpus (3)

• Integrability of the Frobenius algebra-valued KP hierarchy
• Gauge transformation and symmetries of the commutative multi-component BKP hierarchy
• The Frobenius-Virasoro algebra and Euler equations