Distributive Lattices Defined for Representations of Rank Two Semisimple Lie Algebras
نویسندگان
چکیده
Distributive lattices defined for representations of rank two semisimple Lie algebras L. Wyatt Alverson II1, Robert G. Donnelly1, Scott J. Lewis1, Marti McClard2, Robert Pervine1, Robert A. Proctor3, N. J. Wildberger4 1Department of Mathematics and Statistics, Murray State University, Murray, KY 42071 2Department of Mathematics, University of Tennessee, Knoxville, TN 37996 3Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599 4School of Mathematics, University of New South Wales, Sydney, NSW 2052
منابع مشابه
Constructions of Representations of Rank Two Semisimple Lie Algebras with Distributive Lattices
We associate one or two posets (which we call “semistandard posets”) to any given irreducible representation of a rank two semisimple Lie algebra over C. Elsewhere we have shown how the distributive lattices of order ideals taken from semistandard posets (we call these “semistandard lattices”) can be used to obtain certain information about these irreducible representations. Here we show that s...
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ورودعنوان ژورنال:
- SIAM J. Discrete Math.
دوره 23 شماره
صفحات -
تاریخ انتشار 2009