Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups (eBook)

Katsuhiko Kuribayashi (Autor)

eBook Download: PDF

85 Seiten
American Mathematical Society (Verlag)
978-1-4704-0453-6 (ISBN)

Infos

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 $BSpin(10)$.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• ISBN-10: 1-4704-0453-2 / 1470404532
• ISBN-13: 978-1-4704-0453-6 / 9781470404536