Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9497132 | Journal of Pure and Applied Algebra | 2005 | 7 Pages |
Abstract
The block variety VG,b(M) of a finitely generated indecomposable module M over the block algebra of a p-block b of a finite group G, introduced in (J. Algebra 215 (1999) 460), can be computed in terms of a vertex and a source of M. We use this to show that VG,b(M) is connected, and that every closed homogeneous subvariety of the affine variety VG,b defined by block cohomology H*(G,b) (cf. Algebras Rep. Theory 2 (1999) 107) is the variety of a module over the block algebra. This is analogous to the corresponding statements on Carlson's cohomology varieties in (Invent. Math. 77 (1984) 291).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
David J. Benson, Markus Linckelmann,