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math.RT2018
On the SO(n+3) to SO(n) branching multiplicity space
Emilio A. Lauret, Fiorela Rossi Bertone
We study the decomposition as an -module of the multiplicity space corresponding to the branching from to . Here, $\textrm{SO}(n)…
math.RT2018
Strong multiplicity one theorems for locally homogeneous spaces of compact type
Emilio A. Lauret, Roberto J. Miatello
Let be a compact connected semisimple Lie group, let be a closed subgroup of , let be a finite subgroup of , and let be a finite-dimensional representation of…
math.RT2017★ 6 cited
Multiplicity formulas for fundamental strings of representations of classical Lie algebras
Emilio A. Lauret, Fiorela Rossi Bertone
We call the \emph{-fundamental string} of a complex simple Lie algebra to the sequence of irreducible representations having highest weights of the form for ,…