Kessar, R. (2012). On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture. Journal of the London Mathematical Society, 85(2), pp. 491510. doi: 10.1112/jlms/jdr047

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Abstract
Using a stable equivalence due to Rouquier, we prove that Broue's abelian defect group conjecture holds for 3blocks of defect 2 whose Brauer correspondent has a unique isomorphism class of simple modules. The proof makes use of the fact, also due to Rouquier, that a stable equivalence of Morita type between selfinjective algebras induces an isomorphism between the connected components of the outer automorphism groups of the algebras.
Item Type:  Article 

Additional Information:  21 pages 
Subjects:  Q Science > QA Mathematics 
Divisions:  School of Engineering & Mathematical Sciences > Department of Mathematical Science 
Related URLs:  
URI:  http://openaccess.city.ac.uk/id/eprint/1900 
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