nLab
universal enveloping algebroid

The construction of a universal enveloping algebra of a Lie algebra can be generalized in several ways. One of them is to generalize it to Lie algebroids and, slightly more general, to the Lie-Rinehardt algebra?s. This leads to the universal enveloping algebroids. Some standard theorems like the PBW theorem generalize to some extend to this context.

  • George S. Rinehart, Differential forms on general commutative algebras, Trans. Amer. Math. Soc. 108 1963 195–222 (MR0154906 (27 #4850))

  • Hinich, Schechtman

  • Kapranov

Created on November 26, 2009 18:04:22 by Zoran Škoda (161.53.130.104)