Hecke-Clifford superalgebras, crystals of type $A_{2\ell }^{(2)}$ and modular branching rules for $\widehat {S}_n$
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- by Jonathan Brundan and Alexander Kleshchev
- Represent. Theory 5 (2001), 317-403
- DOI: https://doi.org/10.1090/S1088-4165-01-00123-6
- Published electronically: October 24, 2001
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Abstract:
This paper is concerned with the modular representation theory of the affine Hecke-Clifford superalgebra, the cyclotomic Hecke-Clifford superalgebras, and projective representations of the symmetric group. Our approach exploits crystal graphs of affine Kac-Moody algebras.References
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Bibliographic Information
- Jonathan Brundan
- Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
- Email: brundan@darkwing.uoregon.edu
- Alexander Kleshchev
- Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
- MR Author ID: 268538
- Email: klesh@math.uoregon.edu
- Received by editor(s): March 9, 2001
- Received by editor(s) in revised form: August 15, 2001
- Published electronically: October 24, 2001
- Additional Notes: Both authors were partially supported by the NSF (grant nos DMS-9801442 and DMS-9900134)
- © Copyright 2001 American Mathematical Society
- Journal: Represent. Theory 5 (2001), 317-403
- MSC (2000): Primary 17B67, 20C08, 20C20, 17B10, 17B37
- DOI: https://doi.org/10.1090/S1088-4165-01-00123-6
- MathSciNet review: 1870595