A. G. Elashvili, V. G. Kac
Published 2003-12-10, updated 2004-12-17Version 2
We study and give a complete classification of good $\ZZ$-gradings of all simple finite-dimensional Lie algebras. This problem arose in the quantum Hamiltonian reduction for affine Lie algebras.
Comments: needs AMS trans2-1.cls
Journal: Amer. Math. Soc. Transl. (2) vol 213 (2005), 85-104
Split Casimir operator for simple Lie algebras in the cube of $\mathsf{ad}$-representation and Vogel parameters
Geometry of Higgs bundles over elliptic curves related to automorphisms of simple Lie algebras, Calogero-Moser systems and KZB equations
Branching rules for Weyl group orbits of simple Lie algebras B(n), C(n) and D(n)
