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 $BSpin(10)$.Though A\4S-lApTp}( is the highly preferred format of T^X, author packages are also available in ^VfS-TgX. ... The AMS Author Handbook and the Instruction Manual are available in PDF format following the author packages link from www. amsanbsp;...

Title | : | Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups |

Author | : | Katsuhiko Kuribayashi, Mamoru Mimura, Tetsu Nishimoto |

Publisher | : | American Mathematical Soc. - 2006 |

Continue