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• Författare:

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• Författare:

## Tetsu Nishimoto

• Förlag:

### Amer Mathematical Society

• Serie: Memoirs of the American Mathematical Society
• Bandtyp: Pocket
• Språk: Engelska
• Utgiven: 200603
• Antal sidor: 85
• Vikt i gram: 204
•  ISBN10: 0821838563
•  ISBN13: 9780821838563

# Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups

(Pocket)
av

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## Tetsu Nishimoto

##### Beskrivning:

Let \$G\$ be a compact, simply connected, simple Lie group. By applying the notion of a twisted tensor product in the senses of Brown as well as of Hess, we construct an economical injective resolution to compute, as an algebra, the cotorsion product which is the \$E_2\$-term of the cobar type Eilenberg-Moore spectral sequence converging to the cohomology of classifying space of the loop group \$LG\$. As an application, the cohomology \$H^*(BLSpin(10); \mathbb{Z}/2)\$ is explicitly determined as an \$H^*(BSpin(10); \mathbb{Z}/2)\$-module by using effectively the cobar type spectral sequence and the Hochschild spectral sequence, and further, by analyzing the TV-model for \$BSpin(10)\$.