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 |
'''Theorem (Milnor-Moore)''': A graded, connected, co-commutative bialgebra is the universal enveloping algebra of its space of primitives: |
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: <math>\mathcal{A}=U(\mathcal{P}(\mathcal{A}))</math> |
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(A proof is given [http://math.uchicago.edu/~mitya/bloch-hopf/hopf3.pdf here].) |
Latest revision as of 22:48, 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.)