Local matrix generalizations of W-algebras
classification
🧮 math-ph
math.MP
keywords
algebrasgeneralizationslocalmathcalmatrixclassicalcommutativehamiltonian
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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 $gl(m,\mathbb{C})$.
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