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- W1564547322 abstract "It is well known that the dimension of a weight space for a finite dimensional representation of a simple Lie algebra is given by Kostant's weight multiplicity formula. We address the question of how many terms in the alternation contribute to the multiplicity of the zero weight for certain, very special, highest weights. Specifically, we consider the case where the highest weight is equal to the sum of all simple roots. This weight is dominant only in Lie types $A$ and $B$. We prove that in all such cases the number of contributing terms is a Fibonacci number. Combinatorial consequences of this fact are provided." @default.
- W1564547322 created "2016-06-24" @default.
- W1564547322 creator A5049274003 @default.
- W1564547322 date "2011-11-28" @default.
- W1564547322 modified "2023-09-27" @default.
- W1564547322 title "Kostant's weight multiplicity formula and the Fibonacci numbers" @default.
- W1564547322 hasPublicationYear "2011" @default.
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