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Representation Theory

ISSN 1088-4165

 

 

Quantum supergroups II. Canonical basis


Authors: Sean Clark, David Hill and Weiqiang Wang
Journal: Represent. Theory 18 (2014), 278-309
MSC (2010): Primary 17B37
Published electronically: September 9, 2014
MathSciNet review: 3256709
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Abstract: Following Kashiwara's algebraic approach, we construct crystal bases and canonical bases for quantum supergroups of anisotropic type and for their integrable modules.


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Additional Information

Sean Clark
Affiliation: Department of Mathematics, 567 Lake Hall, Northeastern University, Boston, Massachusetts 02115
Email: se.clark@neu.ed

David Hill
Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
Email: deh4n@virginia.edu

Weiqiang Wang
Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
Email: ww9c@virginia.edu

DOI: https://doi.org/10.1090/S1088-4165-2014-00453-9
Keywords: Quantum supergroups, crystal basis, canonical basis
Received by editor(s): April 16, 2013
Received by editor(s) in revised form: March 14, 2014
Published electronically: September 9, 2014
Additional Notes: The first author was partially supported by the Semester Fellowship from Department of Mathematics, University of Virginia (UVA)
The first and third authors gratefully acknowledge the support and stimulating environment at the Institute of Mathematics, Academia Sinica, Taipei, during their visits in Spring 2013
The third author was partially supported by NSF DMS-1101268 and the UVA Sesqui Fellowship
Article copyright: © Copyright 2014 American Mathematical Society