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Tuesday, May 5, 2020 | History

1 edition of On the local structure of Morita and Rickard equivalences between Brauer blocks found in the catalog.

On the local structure of Morita and Rickard equivalences between Brauer blocks

by Lluis Puig

  • 52 Want to read
  • 11 Currently reading

Published by Springer in Basel .
Written in English

    Subjects:
  • Finite groups,
  • Representations of groups

  • Edition Notes

    StatementLluís Puig
    SeriesProgress in mathematics -- v. 178, Progress in mathematics (Boston, Mass.) -- v. 178.
    Classifications
    LC ClassificationsQA177 .P85 1999eb
    The Physical Object
    Format[electronic resource] /
    Pagination1 online resource (260 p.)
    Number of Pages260
    ID Numbers
    Open LibraryOL27078653M
    ISBN 103034886934
    ISBN 109783034886932, 9783034897327
    OCLC/WorldCa828736011

    Seminar Archive. Grzegorz Bobinski made his notes from some of the seminar talks available on his web page.. Friday, 31 January , Room V Sophiane Yahiatene (Bielefeld): Hurwitz action in extended Weyl groups with application to hereditary abelian categories Abstract: The main object of this talk is the family of extended Weyl groups.   Let p be a prime number. This paper solves the question of the structure of the group D(P) of endo-permutation modules over an arbitrary finite p-group P, that was open after Dade’s original papers in ([19], [20]), and it gives a proof of the conjectures proposed in [4] and [10]. This leads to a presentation of D(P) by explicit generators and relations, generalizing the presentation.

    Abstract. This is a report on advances in the representation theory of finite dimensional algebras in the years – During these years, the German research council (DFG) has sponsered a Forschungsschwerpunkt devoted to the representation theory of finite groups and finite dimensional algebras; it started in and will be finished by Cited by: On blocks of defect two and one simple module, and Lie algebra structure of HH¹. Journal of Pure and Applied Algebra, doi: / Benton, A. L. (). Configuring authority over electoral manipulation in electoral authoritarian regimes: .

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On the local structure of Morita and Rickard equivalences between Brauer blocks by Lluis Puig Download PDF EPUB FB2

Recently, the discovery by Rickard that all blocks with the same cyclic defect group and the same Brauer category have the same homotopic category focussed great interest on the new, loose relationship between blocks called Rickard equivalence. This book describes the source algebra of a block from the source algebra of a Rickard equivalent.

Get this from a library. On the local structure of Morita and Rickard equivalences between Brauer blocks. [Luis Puig] -- "This book describes the source algebra of a block from the source algebra of a Rickard equivalent block and the source of the Rickard equivalence.

This description requires a new induction procedure. Carreres L.P. () Rickard equivalences between Brauer blocks. In: On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks. Progress in Mathematics, vol Author: Lluís Puig Carreres.

Get this from a library. On the local structure of Morita and Rickard equivalences between Brauer blocks.

[Lluis Puig] -- Brauer had already introduced the defect of a block and opened the way towards a classification by solving all the problems in defects zero and. Symmetric Groups, Wreath Products, Morita Equivalences, and Broue's Abelian Defect Group Conjecture Article in Bulletin of the London Mathematical Society 34(2) March with 31 Reads.

A local property of basic Morita equivalences. local structure, and induce equivalences between block of the centralizers of subgroups of the defect groups by employing the Brauer construction. A Survey on the Local Structure of Morita and Rickard Equivalences between Brauer Blocks.

Representation Theory of Finite Groups: Proceedings of a Special Research Quarter at the Ohio State University, Spring (pp. Abstract.

This paper is a continuation and a completion of the work of the first and the third author on the Jordan decomposition. We extend the Jordan decomposition of blocks: we show that blocks of finite groups of Lie type in nondescribing characteristic are Morita equivalent to blocks of subgroups associated to isolated elements of the dual group — this is the modular version of a Cited by: L.

PuigOn the Local Structure of Morita and Rickard Equivalences between Brauer Blocks Progress in Mathematics, vol. Birkhäuser, Basel () Google ScholarCited by: 4. [Pu] L. Puig, On the Local Structure of Morita and Rickard Equivalences Between Brauer Blocks, Basel: Birkhäuser,vol.

Show bibtex @book {Pu, MRKEY = {},Cited by: In this text, the authors give a modern treatment of the classification of continuous-trace C*-algebras up to Morita equivalence. This includes a detailed discussion of Morita equivalence of C*-algebras, a review of the necessary sheaf cohomology, and an introduction to recent developments in the area.

The book is accessible to students who are beginning research in operator algebras after a. Representation Theory of Finite Groups Proceedings of a Special Research Quarter at the Ohio State University, Spring On Blocks and Source Algebras for the Double Covers of the Symmetric Groups.

A Survey on the Local Structure of Morita and Rickard Equivalences between Brauer Blocks. local structure, and induce equivalences between block of the centralizers of subgroups of the defect groups by employing the Brauer construction.

Moreover, L. Puig and Y. Zhou [15], [16] proved that these local equivalences extend to equivalences between blocks Author: Tiberiu Coconet, Andrei Marcus. On the local structure of Morita and Rickard equivalences between Brauer blocks / Lluís Puig.

QA P85 ADEX theory: how the ADE Coxeter graphs unify mathematics and physics / Saul-Paul Sirag. S Morita: free download. Ebooks library. On-line books store on Z-Library | B–OK. On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks. Birkhäuser Basel. Lluís Puig Carreres (auth.) Year: A search query can be a title of the book, a.

Morita: free download. Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books. equivalences between two blocks of finite groups are precisely the Morita equivalences arising from an isomorphism of source algebras.

Section 5 is devoted to showing that Rouquier’s Rickard complex for blocks with cyclic defect groups constructed in [21] is in fact still splendid in our more restrictive definition of splendid tilting. On the local structure of Morita and Rickard equivalences between Brauer blocks LluÃ-s Puig.

Subgroup complexes Stephen D. Smith. G-algebras and modular representation theory Jacques Thévenaz. Representations of finite and Lie groups Charles B. Thomas. Sporadic groups Discrete groups, expanding graphs, and invariant measures. Brauer had already introduced the defect of a block and opened the way towards a classification by solving all the problems in defects zero and one, and by providing some evidence for the finiteness of the set of blocks with a given defect.

In he discovered the defect group, and in Dade determined the blocks with cyclic defect groups. In Alperin and Broué discovered the Brauer Book Edition: blocks proof modules source algebras groups theorem isomorphism ogb brauer direct summand defect group projective isomorphic finite group stable fusion morita unique kcg equivalence Whether you've loved the book or not, if you give.

Representation Theory assumes only the most basic knowledge of linear algebra, groups, rings and fields, and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessible to any graduate student in algebra and can be used for self-study as.We contribute to the classification of finite dimensional algebras under stable equivalence of Morita type.

More precisely we give a classification of Erdmann’s algebras of dihedral, semi-dihedral and quaternion type and obtain as byproduct the validity of the Auslander–Reiten conjecture for stable equivalences of Morita type between two algebras, one of which is of dihedral, semi-dihedral Cited by: Groups, Rings and Associated Structures Spa, Belgium j Junecoll.

Mus ees de la Ville d’eaux { Spa Morita equivalence classes of blocks with defect group (C 2)5 (Tuesday, ) values using the splendid derived equivalences introduced by d and er.