# Thesis

## On characteristic p Verma modules and subalgebras of the hyperalgebra

Abstract:

Let G be a finite dimensional semisimple Lie algebra; we study the class of infinite dimensional representations of Gcalled characteristic p Verma modules.

To obtain information about the structure of the Verma module Z(λ) we find primitive weights μ such that a non-zero homomorphism from Z(μ) to Z(λ) exists. For λ + ρ dominant, where ρ is the sum of the fundamental roots, there exist only finitely many primitive weights, and th...

Files:
• (pdf, 3.4MB)

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS
Role:
Author

#### Contributors

Role:
Supervisor
Publication date:
1994
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Subjects:
UUID:
uuid:c6f5db9a-db94-4d58-9eb1-dd402c8846c5
Local pid:
td:603840671
Source identifiers:
603840671
Deposit date:
2014-10-14