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Affinoid enveloping algebras and their representations

Abstract:

We develop the basic theory of Picard algebroids and twisted differential operators on a smooth, reduced, locally of finite type scheme over a commutative ring. We also give a new geometric proof of the classical Duflo's theorem. We next move to the study the affinoid enveloping algebra of a semisimple Lie algebra defined over a discrete valuation ring. We prove that there exists a one-to-one correspondence between the lattice of submodules of an affinoid Verma module of a given weight ...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Research group:
Algebra
Oxford college:
Kellogg College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Role:
Supervisor
ORCID:
0000-0002-5011-022X
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
Deposit date:
2021-07-05

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