An Explicit Formula for Pbw Quantization
نویسنده
چکیده
0. Introduction We consider (possibly infinite dimensional) Lie algebras over a fixed field k of characteristic zero. Let g be a Lie algebra, S = Sg and U = Ug the symmetric and universal enveloping algebras, and F ⊂ F ⊂ · · · ⊂ U the coalgebra filtration F := k + g + g · · · + g. Recall that the Poincaré-Birkhoff-Witt isomorphism between S and the associated graded ring GFU is induced by the symmetrization map e : S→̃U defined as
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0 an Explicit Formula for Pbw Quantization
0. Introduction We consider (possibly infinite dimensional) Lie algebras over a fixed field k of characteristic zero. Let g be a Lie algebra, S = Sg and U = Ug the symmetric and universal enveloping algebras, and F ⊂ F ⊂ · · · ⊂ U the coalgebra filtration F := k + g + g + · · ·+ g. Recall that the Poincaré-Birkhoff-Witt isomorphism between S and the associated graded ring GFU is induced by the ...
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