Abstract
We give a general construction which shows that a large class of quantum complete intersections can be realized as the basic algebras of non-principal blocks of finite groups. We investigate the Ext rings of these algebras. We describe how to construct a finite p'-covering for one of these quantum complete intersections, which supports a Hopf algebra structure which is neither commutative nor cocommutative in general. We use this to investigate a problem concerning the definition of nucleus for a non-principal block.
Original language | English |
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Pages (from-to) | 1-11 |
Number of pages | 10 |
Journal | Quarterly Journal of Mathematics |
Volume | 55 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2004 |
Keywords
- quantum groups
- algebras
- varieties
- cohomology
- coverings