A NOTE ON THE DEPTH OF A SOURCE ALGEBRA OVER ITS DEFECT GROUP
By results of Boltje and Kulshammer, if a source algebra A of a
___
- R. Boltje and B. Kulshammer, On the depth 2 condition for group algebra and
Hopf algebra extensions, J. Algebra, 323(6) (2010), 1783-1796.
- R. Boltje and B. Kulshammer, Group algebra extensions of depth one, Algebra
Number Theory, 5(1) (2011), 63-73.
- C. W. Curtis and I. Reiner, Methods of Representation Theory, Vol. II, with
applications to nite groups and orders, Pure and Applied Mathematics (New
York), A Wiley-Interscience Publication, John Wiley & Sons, Inc., New York,
1987.
- L. Kadison and K. Szlachanyi, Bialgebroid actions on depth two extensions,
Adv. Math., 179(1) (2003), 75-121.
- M. Linckelmann, On splendid derived and stable equivalences between blocks of
nite groups, J. Algebra, 242(2) (2001), 819-843.
- L. Puig, Nilpotent blocks and their source algebras, Invent. Math., 93(1) (1988),
77-116.
- L. Puig, Pointed groups and construction of modules, J. Algebra, 116(1) (1988),
7-129.
- [L. Puig, The hyperfocal subalgebra of a block, Invent. Math., 141(2) (2000),
365-397.
- J.-P. Serre, Corps Locaux, Deuxieme edition, Publications de l'Universite de
Nancago, No. VIII, Hermann, Paris, 1968.
- J. Thevenaz, G-Algebras and Modular Representation Theory, Oxford Mathematical
Monographs, Oxford Science Publications, The Clarendon Press, Oxford
University Press, New York, 1995.
- A. Watanabe, Note on hyperfocal subalgebras of blocks of nite groups, J. Algebra,
322(2) (2009), 449-452.