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- Title
Morita equivalences and basic correspondences.
- Authors
Harris, Morton E.
- Abstract
In finite group modular representation theory, the Green correspondence for indecomposable modules is a fundamental correspondence. Also, subpairs (of J.L. Alperin and M. Broué) comprise a basic structure in this theory. The Harris-Knörr correspondence for blocks is a Clifford theoretic extension of R. Brauer's first main theorem on blocks and using a basic idea of the Harris-Knörr results and the Green correspondence, J.L. Alperin proved a corresponding correspondence for indecomposable modules. In this paper, we reduce the hypotheses of each of those three correspondences to hypotheses on the normalizers of appropriate subpairs.
- Publication
Archiv der Mathematik, 2022, Vol 119, Issue 1, p27
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s00013-022-01707-3