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Tuesday, July 21, 2020 | History

4 edition of **Twisted tensor products related to the cohomology of the classifying spaces of loop groups** found in the catalog.

- 388 Want to read
- 30 Currently reading

Published
**2006**
by American Mathematical Society in Providence, RI
.

Written in English

- Spectral sequences (Mathematics),
- Topology.,
- Cohomology operations.

**Edition Notes**

Includes bibliographical references.

Statement | Katsuhiko Kuribayashi, Mamoru Mimura, Tetsu Nishimoto. |

Series | Memoirs of the American Mathematical Society ;, no. 849 |

Contributions | Mimura, M. 1938-, Nishimoto, Tetsu, 1969- |

Classifications | |
---|---|

LC Classifications | QA3 .A57 no. 849, QA612.8 .A57 no. 849 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL3431500M |

ISBN 10 | 0821838563 |

LC Control Number | 2005057159 |

Given this result it is possible to choose a classifying space K for P O (ℓ 2) that is a topological monoid as required: One may, for example, use the bar construction to explicitly obtain a product K of two Eilenberg–MacLane spaces and equip it with a multiplication given by explicit models of addition and cup‐products on bar Cited by: 4. Full text of "On the topology of the group of invertible elements" See other formats On the topology of the group of invertible elements - A Survey - by Herbert Schroder The topological structure of the group of invertible elements in a unital Banach algebra (regular group for short) has attracted topologists from the very beginning of homotopy theory.

K. Ishiguro: Classifying spaces of compact simple lie groups and p-tori.- A.T. Lundell: Concise tables of James numbers and some homotopyof classical Lie groups and associated homogeneous spaces.- J.R. Martino: Anexample of a stable splitting: the classifying space of the 4-dim unipotent group Cohomology of Finite Groups Alejandro Adem, R. James Milgram (auth.) The cohomology of groups has, since its beginnings in the s and s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory.

The result is an abelian group K(X) called the "K-theory" of X. And in fact it's a ring, since we can also take tensor products of vector bundles! The Atiyah-Segal completion theorem concerns K(X) when X is the classifying space of a topological group G. As explained in "week", this is a space BG with a principal G-bundle over it: EG → BG. You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

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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 \(LG\).

Twisted tensor products related to the cohomology of the classifying spaces of loop groups / Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Katsuhiko Kuribayashi; M Mimura; Tetsu Nishimoto.

Get this from a library. Twisted tensor products related to the cohomology of the classifying spaces of loop groups. [Katsuhiko Kuribayashi; M Mimura; Tetsu Nishimoto]. Free Online Library: Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups.(Brief Article, Book Review) by "SciTech Book News"; Publishing industry Library and information science Science and technology, general Books Book reviews.

Kuribayashi, M. Mimura, T. NishimotoTwisted tensor products related to the cohomology of the classifying spaces of loop groups Mem. Math. Soc., () () vi + 85 pp., MR (k)Cited by: 1. Loop groups and twisted K-theory III of conformal field theories associated to loop groups as twisted equivariant K-theory.

F}_{p})$ on the loop cohomology of the classifying space. The computation of the mod p cohomology of classifying spaces of other Lie groups due to Mimura and Sambe ([33],[34],[35]) has also told us that a. Global analysis on foliated spaces, 2d ed. Steenrod squares in spectral sequences.

Lie groups and antomorphic forms; proceedings. Twisted Tensor Products Related to the Cohomology of the Classifying Spaces of Loop Groups. Toric topology; proceedings. Twisted tensor products related to the cohomology of the classifying spaces of loop groups / Katsuhiko Kuribayashi, Mamoru Mimura, Tetsu Nishimoto.

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