Mackaay, Marco, Mazorchuk, Volodymyr and Miemietz, Vanessa (2024) Applying projective functors to arbitrary holonomic simple modules. Journal of the London Mathematical Society-Second Series, 110 (2). ISSN 0024-6107
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Abstract
We prove that applying a projective functor to a holonomic simple module over a semisimple finite-dimensional complex Lie algebra produces a module that has an essential semisimple submodule of finite length. This implies that holonomic simple supermodules over certain Lie superalgebras are quotients of modules that are induced from simple modules over the even part. We also provide some further insight into the structure of Lie algebra modules that are obtained by applying projective functors to simple modules.
Item Type: | Article |
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Additional Information: | Funding information: Fundação para a Ciência e a Tecnologia. Grant Number: UID/MAT/04459/2013; Swedish Research Council |
Faculty \ School: | Faculty of Science > School of Engineering, Mathematics and Physics |
UEA Research Groups: | Faculty of Science > Research Groups > Algebra and Combinatorics |
Depositing User: | LivePure Connector |
Date Deposited: | 04 Jun 2024 12:30 |
Last Modified: | 17 Oct 2024 00:29 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/95381 |
DOI: | 10.1112/jlms.12965 |
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