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- W4310742006 abstract "Let G be a simple non-compact linear Lie group. Let π be any irreducible unitary representation of G with infinitesimal character Λ whose continuous part is ν. The beautiful Helgason-Jonson bound in 1969 says that the norm of ν is upper bounded by the norm of ρ(G), which stands for the half sum of the positive roots of G. The current paper aims to give a framework to sharpen the Helgason—Johnson bound when π is infinite-dimensional. We have explicit results for exceptional Lie groups. Ingredients of the proof include Parthasarathy’s Dirac operator inequality, Vogan pencil, and the unitarily small convex hull introduced by Salamanca-Riba and Vogan." @default.
- W4310742006 created "2022-12-17" @default.
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- W4310742006 date "2022-11-28" @default.
- W4310742006 modified "2023-09-29" @default.
- W4310742006 title "On the Helgason-Johnson Bound" @default.
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- W4310742006 doi "https://doi.org/10.1007/s11856-022-2403-6" @default.
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