Multiplicities in sl_2 branching laws are constant in regions of parameter space bounded by piecewise-linear fences, unifying classical rules such as the Pieri rule and fusion rules.
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Branching multiplicities for orthogonal Gelfand pairs are constant inside convex regions of the parameter space of reduced coherent families, separated by piecewise-linear fences governed by systems of linear inequalities.
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Stability of Multiplicities in Symmetry Breaking: The sl_2 Case
Multiplicities in sl_2 branching laws are constant in regions of parameter space bounded by piecewise-linear fences, unifying classical rules such as the Pieri rule and fusion rules.
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Stability of Branching Multiplicities for Orthogonal Gelfand Pairs
Branching multiplicities for orthogonal Gelfand pairs are constant inside convex regions of the parameter space of reduced coherent families, separated by piecewise-linear fences governed by systems of linear inequalities.