Journal article
Deformations of unitary Howe dual pairs
- Abstract:
- We study deformations of the Howe pairs (U(n),u(1,1)) and (U(n),u(1,1|1)) to the context of a rational Cherednik algebra H1,c(G,E) associated with a real reflection group G acting on a real vector space E of even dimension. For each pair, we show that the Lie (super)algebra structure of one partner is preserved under the deformation, which leads to a joint decomposition of the standard module or its tensor product with a spinor space. For the case where E is two-dimensional and G is a dihedral group, we provide complete descriptions for the deformed pair and the relevant joint-decomposition.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 430.0KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jpaa.2025.107948
Authors
+ Engineering and Physical Sciences Research Council
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- Funder identifier:
- https://ror.org/0439y7842
- Grant:
- EP/N033922/1
- Publisher:
- Elsevier
- Journal:
- Journal of Pure and Applied Algebra More from this journal
- Volume:
- 229
- Issue:
- 7
- Article number:
- 107948
- Publication date:
- 2025-03-19
- Acceptance date:
- 2025-03-13
- DOI:
- EISSN:
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1873-1376
- ISSN:
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0022-4049
- Language:
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English
- Keywords:
- Pubs id:
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2093730
- Local pid:
-
pubs:2093730
- Deposit date:
-
2025-03-13
Terms of use
- Copyright holder:
- Elsevier B.V.
- Copyright date:
- 2025
- Rights statement:
- © 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
- Notes:
- The author accepted manuscript (AAM) of this paper has been made available under the University of Oxford's Open Access Publications Policy, and a CC BY public copyright licence has been applied.
- Licence:
- CC Attribution (CC BY)
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