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Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups by Katsuhiko Kuribayashi, Tetsu Nishimoto, Mamoru Mimura (Paperback, 2006)

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About this product

Product Information

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 $BSpin(10)$.

Product Identifiers

Publisher
American Mathematical Society
ISBN-13
9780821838563
eBay Product ID (ePID)
87245633

Product Key Features

Author
Katsuhiko Kuribayashi, Tetsu Nishimoto, Mamoru Mimura
Publication Name
Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2006
Type
Textbook
Number of Pages
85 Pages

Additional Product Features

Series Title
Memoirs of the American Mathematical Society
Country/Region of Manufacture
United States
Editor
Tetsu Nishimoto, Mamoru Mimura, Katsuhiko Kuribayashi