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
flath@knots.mathstat.usouthal.edu

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


References

1.  D. Flath and J. Towber, Tensor operators I, the concept of a coherent tensor operator, Communications in Algebra 18 (1990) 40474086.

2.  D. Flath and J. Towber, Tensor operators II, the algebra of tensor operators, Communications in Algebra 20 (1992) 29032917.

3.  D. Flath, Coherent tensor operators, in: Lie Algebras, Cohomology and New Applications to Quantum Mechanics, Contemporary Mathematics, Vol, 160, American Mathematical Society, Providence, R.I., 1994, pp. 7584.

4.  J. Towber, Two new functors from modules to algebras, Journal of Algebra 47 (1977) 80 104.


Get the DVI | PS | PDF file of this abstract.