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Decomposing the complexity quotient category

Published online by Cambridge University Press:  24 October 2008

D. J. Benson
D. J. Benson
Affiliation:
Department of Mathematics, University of Georgia, Athens, GA 30602, USA
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Extract

In the modular representation theory of finite groups, much recent effort has gone into describing cohomological properties of the category of finitely generated modules. In recent joint work of the author with Jon Carlson and Jeremy Rickard[3], it has become clear that for some purposes the finiteness restriction is undesirable. In particular, in the quotient category of kG-modules by the subcategory of modules of less than maximal complexity, it turns out that finitely generated modules can have infinitely generated summands, and that including these summands in the category repairs the lack of Krull–Schmidt property.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 4 , November 1996 , pp. 589 - 595
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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