Annals of Combinatorics 4 (2000) 257-268

A Combinatorial Problem in the Representation Theory of SL(n)

Daniel Flath and Jacob Towber

Department of Mathematics and Statistics, University of South Alabama, Mobile, AL 36688,USA

Received March 31, 1999

AMS Subject Classification: 05E15, 20G05, 22E46

Abstract. A combinatorial conjecture phrased in the language of histograms is presented. The origin of the conjecture in the representation theory of the group SL(n) is explained.

Keywords: Lie groups, Lie algebras, representation theory, tensor operators, coherent tensor , operators, combinatorial conjecture


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