Milnor–Moore theorem
In algebra, the Milnor–Moore theorem, introduced in (), states: given a connected graded cocommutative Hopf algebra A over a field of characteristic zero with , the natural Hopf algebra homomorphism from the universal enveloping algebra of the "graded" Lie algebra of primitive elements of A to A is an isomorphism. (The universal enveloping algebra of a graded Lie algebra L is the quotient of the tensor algebra of L by the two-sided ideal generated by elements xy-yx - (-1)|x||y|[x, y].) This work may also be compared with that by E. Halpern [1958] listed below.
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Milnor–Moore theorem
In algebra, the Milnor–Moore theorem, introduced in (), states: given a connected graded cocommutative Hopf algebra A over a field of characteristic zero with , the natural Hopf algebra homomorphism from the universal enveloping algebra of the "graded" Lie algebra of primitive elements of A to A is an isomorphism. (The universal enveloping algebra of a graded Lie algebra L is the quotient of the tensor algebra of L by the two-sided ideal generated by elements xy-yx - (-1)|x||y|[x, y].) This work may also be compared with that by E. Halpern [1958] listed below.
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Der Satz von Milnor-Moore, ben ...... a der primitiven Elemente her.
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In algebra, the Milnor–Moore t ...... . Halpern [1958] listed below.
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Der Satz von Milnor-Moore, ben ...... a der primitiven Elemente her.
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In algebra, the Milnor–Moore t ...... . Halpern [1958] listed below.
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Milnor–Moore theorem
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Satz von Milnor-Moore
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