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Crystal Bases forU q(osp(1, 2r))

Authors
Journal
Journal of Algebra
0021-8693
Publisher
Elsevier
Publication Date
Volume
210
Issue
2
Identifiers
DOI: 10.1006/jabr.1998.7591
Disciplines
  • Mathematics

Abstract

Abstract We construct Z 2-graded crystal bases for the quantized universal enveloping algebra of the Lie superalgebra osp(1, 2 r). We show that, like the crystal bases in the Lie algebra case, these crystal bases carry a remarkable combinatorial structure.

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