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arxiv: 1609.01773 · v2 · pith:WHPC262Anew · submitted 2016-09-06 · 🧮 math.RT

An analogue of the Kostant-Rallis multiplicity theorem for θ-group harmonics

classification 🧮 math.RT
keywords kostant-rallismultiplicitythetaanaloguecasesexamplesexplicitformula
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The main result in this paper is the generalization of the Kostant-Rallis multiplicity formula to general {\theta}--groups (in the sense of Vinberg). The special cases of the two most interesting examples one for $E_6$ (three qubits) and one for $E_8$ are given explicit formulas.

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