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Z .Journal of Algebra 239, 262 271 2001 doi:10.1006rjabr.2000.8625, available online at http:rrwww.idealibrary.com on
 

Summary: Z .Journal of Algebra 239, 262 271 2001
doi:10.1006rjabr.2000.8625, available online at http:rrwww.idealibrary.com on
Source Algebras and Source Modules
J. L. Alperin
Department of Mathematics, Unišersity of Chicago, 5734 Unišersity Ašenue,
Chicago, Illinois 60637
and
Markus Linckelmann and Raphael Rouquierš
UFR de Mathematiques, CNRS, Unišersite Paris 7 2, Place Jussieu,Ž Ž
75251 Paris Cedex 05, France
Communicated by Michel BroueŽ
Received April 1, 2000
The aim of this article is to give a self-contained approach in module
wtheoretic terms to two fundamental results in block theory, due to Puig 6,
x14.6 : first, there is an embedding of the source algebra of the Brauer
correspondent of a block of some finite group into a source algebra of that
block, and second, the source algebras of the Brauer correspondence can
be described explicitly. Our proof of the first result Theorem 5 and its
Corollary 6 below is essentially the translation to our terminology of the
w xproof in 1, 4.10 .

  

Source: Alperin, Jon L. - Department of Mathematics, University of Chicago
Rouquier, Raphaël - Mathematical Institute, University of Oxford

 

Collections: Mathematics