Hecke-Clifford superalgebras, crystals of type and modular branching rules for

Authors:
Jonathan Brundan and Alexander Kleshchev

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

Published electronically:
October 24, 2001

MathSciNet review:
1870595

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Abstract | References | Similar Articles | Additional Information

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.

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Additional 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

Email:
klesh@math.uoregon.edu

DOI:
https://doi.org/10.1090/S1088-4165-01-00123-6

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)

Article copyright:
© Copyright 2001
American Mathematical Society