This paper describes generic patterns for the extensions between simple modules of a finite Chevalley group. A one-to-one correspondence between these extensions and the extensions between certain simple modules of the ambient algebraic group are established. It is shown that an extension appears in
A generalization of finite dimensionality for modules
โ Scribed by Jitendra N. Manocha
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 556 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0022-4049
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๐ SIMILAR VOLUMES
For complex simple finite-dimensional Lie algebras we study the structure of generalized Verma modules which are torsion free with respect to some subalgebra ลฝ . isomorphic to sl 2 . We obtain a criterion of irreducibility and establish necessary and sufficient conditions for the existence of a non-
We derive a cancellation theorem for degenerations of modules that says in particular, that projective or injective common direct summands can always be neglected. Combining the cancellation result with the existence of almost split sequences we characterize the orbit closure of a module living on p