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Ladder representations of GL(n,ℚp)

Abstract:

In this paper, we recover certain known results about the ladder representations of GL(n, ℚp) defined and studied by Lapid, Minguez, and Tadic. We work in the equivalent setting of graded Hecke algebra modules. Using the Arakawa-Suzuki functor from category O to graded Hecke algebra modules, we show that the determinantal formula proved by Lapid-Minguez and Tadic is a direct consequence of the BGG resolution of finite dimensional simple gl(n)-modules. We make a connection between the semisimp...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-319-23443-4_4

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

Contributors

Role:
Editor
Role:
Editor
Publisher:
Springer
Host title:
Representations of Reductive Groups
Volume:
312
Pages:
117-137
Publication date:
2015-12-01
Acceptance date:
2014-09-04
DOI:
Keywords:
Pubs id:
pubs:511175
UUID:
uuid:0cbb65f4-05fb-4dcd-a624-9da188c3dcf5
Local pid:
pubs:511175
Source identifiers:
511175
Deposit date:
2016-10-23

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