Canonical bases for the Brauer centralizer algebra

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Canonical Bases for the Brauer Centralizer Algebra

In this paper we construct canonical bases for the Birman-Wenzl algebra BWn, the q-analogue of the Brauer centralizer algebra, and so define left, right and two-sided cells. We describe these objects combinatorially (generalizing the Robinson-Schensted algorithm for the symmetric group) and show that each left cell carries an irreducible representation of BWn. In particular, we obtain canonical...

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ژورنال

عنوان ژورنال: Mathematical Research Letters

سال: 1995

ISSN: 1073-2780,1945-001X

DOI: 10.4310/mrl.1995.v2.n1.a3