arXiv:1706.07839 [math.RT]AbstractReferencesReviewsResources
Multiplicity formulas for fundamental strings of representations of classical Lie algebras
Emilio A. Lauret, Fiorela Rossi Bertone
Published 2017-06-23Version 1
We call the \emph{$p$-fundamental string} of a complex simple Lie algebra to the sequence of irreducible representations having highest weights of the form $k\omega_1+\omega_p$ for $k\geq0$, where $\omega_j$ denotes the $j$-th fundamental weight of the associated root system. For a classical complex Lie algebra, we establish a closed explicit formula for the weight multiplicities of any representation in any $p$-fundamental string.
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