On the cohomology of the 2-connected cover of the loop space of simple Lie groups (Q1096215)
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scientific article; zbMATH DE number 4030529
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the cohomology of the 2-connected cover of the loop space of simple Lie groups |
scientific article; zbMATH DE number 4030529 |
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On the cohomology of the 2-connected cover of the loop space of simple Lie groups (English)
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1986
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If G is a compact, 1-connected Lie group, \(H^*(\Omega G,F_ p)\tilde =F_ p[t]/(t^{p^ d})\otimes A(G,p),\) where t represents a 2- dimensional generator. The values taken by d for the different Lie groups are derived and used in relating \(P(H^*(\Omega G<3>,F_ p),q)\) and P(A(G,p),q) where P(A,q) denotes \(\sum (\dim A_ i)q^ i\) for a graded module A.
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cohomology ring of the loop space of a compact, connected Lie group
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Hopf algebra
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Poincaré series of loop spaces
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3-connected cover
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