Let (H, R) be a triangular Hopf algebra and let V be a finitedimensional representation of H. Following Manin we imitate the standard algebraic constructions in order to define the relativized notions of R-universal enveloping algebras of R-Lie algebras and the.R-Lie algebra glR(V). Using Majid's "bosonization" theorem and the above we prove an R-analogue of Schur's double centralizer theorem.
|Number of pages||11|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - Sep 1994|