Journal article
The Dunkl-Cherednik deformation of a Howe duality
- Abstract:
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We consider the deformed versions of the classical Howe dual pairs (O(r, C), sl(2, C)) and (O(r, C), spo(2|2, C)) in the context of a rational Cherednik algebra Hc = Hc(W, h) associated to a finite Coxeter group W at the parameters c and t = 1. For the first pair, we compute the centraliser of the well-known copy of s ∼= sl(2, C) inside Hc. For the second pair, we show that the classical copy of g ∼= spo(2|2, C) inside the Weyl-Clifford algebra W ⊗ C deforms to a Lie superalgebra inside Hc ⊗ ...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, 499.7KB, Terms of use)
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- Publisher copy:
- 10.1016/j.jalgebra.2020.05.034
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Funding
Bibliographic Details
- Publisher:
- Elsevier
- Journal:
- Journal of Algebra More from this journal
- Volume:
- 560
- Pages:
- 914-959
- Publication date:
- 2020-06-09
- Acceptance date:
- 2020-06-04
- DOI:
- ISSN:
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0021-8693
Item Description
- Language:
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English
- Keywords:
- Pubs id:
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951262
- Local pid:
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pubs:951262
- Deposit date:
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2020-06-04
Terms of use
- Copyright holder:
- Crown Copyright
- Copyright date:
- 2020
- Rights statement:
- Crown Copyright © 2020 Published by Elsevier Inc.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Elsevier at https://doi.org/10.1016/j.jalgebra.2020.05.034
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