Notes for AKT-090929/0:09:24: Difference between revisions

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'''Theorem (Milnor-Moore)''': A graded, connected, co-commutative bialgebra is the universal enveloping algebra of its space of primitives:
Milnor-Moore theorem, definition of a permitive
: <math>\mathcal{A}=U(\mathcal{P}(\mathcal{A}))</math>

(A proof is given [http://math.uchicago.edu/~mitya/bloch-hopf/hopf3.pdf here].)

Latest revision as of 23:48, 18 October 2011

Theorem (Milnor-Moore): A graded, connected, co-commutative bialgebra is the universal enveloping algebra of its space of primitives:

(A proof is given here.)