2 edition of **Frobenius categories versus Brauer blocks** found in the catalog.

- 166 Want to read
- 1 Currently reading

Published
**2009** by Birkhäuser in Basel, Switzerland, Boston, Mass .

Written in English

- Frobenius algebras,
- Finite groups,
- Brauer groups,
- Representations of groups,
- Grothendieck groups,
- Frobenius groups

**Edition Notes**

Includes bibliographical references and index.

Other titles | Grothendieck group of the Frobenius category of a Brauer block |

Statement | Lluís Puig |

Series | Progress in mathematics -- 274 |

Contributions | SpringerLink (Online service) |

Classifications | |
---|---|

LC Classifications | QA251.5 .P84 2009 |

The Physical Object | |

Pagination | 498 p. ; |

Number of Pages | 498 |

ID Numbers | |

Open Library | OL25541484M |

ISBN 10 | 376439997X |

ISBN 10 | 9783764399986, 9783764399979 |

OCLC/WorldCa | 297148429 |

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Frobenius Categories versus Brauer Blocks The Grothendieck Group of Frobenius categories versus Brauer blocks book Frobenius Category of a Brauer Block This book contributes to important questions in the representation theory of finite groups over fields of positive characteristic — an area of research initiated by Richard Brauer sixty years ago with the introduction of the blocks.

Frobenius Categories versus Brauer Blocks The Grothendieck Group of the Frobenius Category of a Brauer Block it introduces and develops the abstract setting of the Frobenius categories — also called the Saturated fusion systems in the literature — created by the author fifteen years ago for a better understanding of what was loosely Brand: Birkhäuser Basel.

Frobenius Categories versus Brauer Blocks: The Grothendieck Group of the Frobenius Category of a Brauer Block (Progress in Mathematics) th Edition by Lluís Puig (Author) ISBN ISBN X.

Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of Frobenius categories versus Brauer blocks book by: 8.

Get this from a library. Frobenius categories versus Brauer blocks: the Grothendieck group of the Frobenius category of a Brauer block.

[Luis Puig] -- This book contributes to important questions in the representation theory of finite groups over fields of positive characteristic -- an area of research initiated by Richard Brauer sixty years ago.

ISBN: X OCLC Number: Description: pages ; 24 cm: Contents: 1. General notation and quoted results Frobenius P-categories: the first definition Frobenius P-category ofa block Nilcentralized, selfcentralizing and intersected objects in Frobenius P-categories Alperin fusions in Frobenius P-categories Abstract.

Let P be a finite this chapter we introduce the main objects of this book, namely the Frobenius P-categories; actually, in chapter 21 below, we give an equivalent — somewhat easier — definition, but this first definition is more directly related to the blocks, as we show in the next chapter.

Free 2-day shipping. Buy Progress in Mathematics: Frobenius Categories Versus Brauer Blocks: The Grothendieck Group of the Frobenius Category of a Brauer Block (Hardcover) at nd: Lluís Puig. We prove this conjecture in two steps: the first step is already done in the Chapter 11 of our book "Frobenius Categories versus Brauer Blocks" where, roughly speaking, we do the corresponding lifting in the category of chains of selfcentralizing Brauer pairs.

Frobenius categories. in the Journal of Algebra (),and his book. Frobenius Categories versus Brauer Blocks (Progress in MathematicsBirkhäuser, ). He calls Frobenius P-categorias, what many people has passed to call Saturated Fusion Systems.

In "Frobenius Categories versus Brauer Blocks" and in "Ordinary Grothendieck groups of a Frobenius P-category" we consider suitable inverse limits of Grothendieck groups of categories of modules. Frobenius Categories versus Brauer Blocks: The Grothendieck Group This book contributes to important questions in the representation theory of finite groups over fields of positive characteristic — an area of research initiated by Richard Brauer sixty years ago with the introduction of the blocks of : Cold Spring Press.

In "Frobenius Categories versus Brauer Blocks", Progress in Math. we introduce the Frobenius P-categories giving two quite different definitions of them. This unique book is devoted to the detailed study of the recently discovered commutative C*-algebras of Toeplitz operators on the Bergman space over the unit disk.

Surprisingly, the key point to understanding their structure and classifying them lies in the hyperbolic geometry of the unit disk. In a recent paper, Gabriel Navarro and Pham Huu Tiep show that the so-called Alperin Weight Conjecture can be verified via the Classification of the Finite Simple Groups, provided any simple group fulfills a very precise list of conditions.

Our purpose here is to show to the interested reader that the results in our book "Frobenius categories versus Brauer blocks", Progress in Math.

( Author: Lluis Puig. Our purpose here is to show to the interested reader that the results in our book "Frobenius categories versus Brauer blocks", Progress in Math. (), and the reduction arguments in "On the reduction of Alperin's Conjecture to the quasi-simple groups", J.

of Algebra (), suggest a numerical statement - implying Alperin's Conjecture Author: Lluis Puig. The Two Towers (The Lord of the Rings, Book 2) by J. Tolkien; 3-transposition groups by Michael Aschbacher; Frobenius categories versus Brauer blocks: the Grothendieck by Lluís Puig; Non-Commutative Harmonic Analysis and Lie Groups by J.

Carmona, M. Vergne; US Special Warfare Units in the Pacific Theater by Gordon L. Rottman/5(10). The Two Towers (The Lord of the Rings, Book 2) by J.

Tolkien; 3-transposition groups by Michael Aschbacher; Frobenius categories versus Brauer blocks: the Grothendieck by Lluís Puig; Non-Commutative Harmonic Analysis and Lie Groups by J. Carmona, M. Vergne; US Special Warfare Units in the Pacific Theater by Gordon L. Rottman4/5(40). In a recent paper, Gabriel Navarro and Pham Huu Tiep show that the so-called Alperin Weight Conjecture can be verified via the Classification of the Finite.

The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g.

Frobenius Categories versus Brauer Blocks The Grothendieck Group of the Frobenius Category of a Brauer Block Lluis Puig, Université Paris VII Denis Diderot, Paris, France This book examines important questions in modern representation theory of ﬁ nite groups.

On the one hand, it introduces and develops the abstract setting of Frobenius. Frobenius categories versus Brauer blocks: the Grothendieck group of the Frobenius category of a Brauer block. Birkhäuser Basel.

Lluís Puig. Year: Language: english. File: A search query can be a title of the book, a name of the author, ISBN or anything else. Read more about ZAlerts. He told me that the notes were extended to a paper published onand then he published a book called "Frobenius Categories versus Brauer Blocks".

Now he's retired, he's like Very nice man. $\endgroup$ – MonsieurGalois May 13 '16 at Frobenius Categories versus Brauer Blocks The Grothendieck Group of the Frobenius Category of a Brauer Block Lluis Puig, Université Paris VII Denis Diderot, Paris, France This book examines important questions in modern representation theory of ﬁ nite groups.

On the one hand, it introduces and develops the abstract setting of FrobeniusFile Size: KB. Frobenius Categories versus Brauer Blocks Puig Lluis Laplacian Eigenvectors of Graphs Laplacian matrices of graphs.

Overall I found the book well worth reading, with a clear and novel presentation of some interesting ideas." (Gordon F. Royle, Mathematical Reviews, Issue a) "The present book covers a narrow topic on the border.

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1 Frobenius categories versus Brauer blocks: the Grothendieck group of the Frobenius category of a Brauer block. Frobenius Categories versus Brauer Blocks The Grothendieck Group of the Frobenius Category of a Brauer Block Progress in Mathematics Vol. 9 Quarteroni Numerical Models for Differential Problems MS&A Vol.

2 XVI, p. 9 Radulescu Problems in Real Analysis. Frobenius categories versus Brauer blocks I 21 As we explain below, from the point of view of Alperin’s Conjecture [2] we were interested in the central extension Fˆ(b,G) (Q) rather than in the group F(b,G) (Q) itself, and this raised a huge problem of coherence.

Explicitly, for any chain q (cf. Frobenius Categories versus Brauer Blocks The Grothendieck Group of the Frobenius Category of a Brauer Block Progress in Mathematics Vol. Quarteroni Numerical Models for Differential Problems MS&A Vol. 2 XVI, p. Roos Robust Numerical Methods for Singularly Perturbed Differential Equations.

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出版社：Birkhauser Verlag GmbH,Springer [Distributor] 出版年：.Complex affine space → Complex coordinate space – In my opinion, the content of the article complex affine space should be moved to complex coordinate space.

Affine spaces do not have a linear structure, let alone a preferred coordinate system. They also lack an inner product. So the current article title, while it does refer to a thing in mathematics, does not match the thing described in.