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math.RT2017
A Lax type operator for quantum finite W-algebras
Alberto De Sole, Victor Kac, Daniele Valeri
For a reductive Lie algebra g, its nilpotent element f and its faithful finite dimensional representation, we construct a Lax operator L(z) with coefficients in the quantum finite…
math-ph2017★ 23 cited
Classical affine W-algebras and the associated integrable Hamiltonian hierarchies for classical Lie algebras
Alberto De Sole, Victor G. Kac, Daniele Valeri
We prove that any classical affine W-algebra W(g,f), where g is a classical Lie algebra and f is an arbitrary nilpotent element of g, carries an integrable Hamiltonian hierarchy of…