The smallest representations of nonlinear covers of odd orthogonal groups

• Autores: Hung Yean Loke, Gordan Savin
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 130, Nº 3, 2008, págs. 763-797
• Idioma: inglés
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• Resumen

  • We construct the smallest genuine representations of a nonlinear cover of the group ${\rm SO}^0(p,q)$ where $p+q$ is odd. We determine correspondences of infinitesimal characters arising from restricting the smallest representations to dual pairs ${{\frak s}{\frak o}}(p,a) \oplus {{\frak s}{\frak o}}(b)$ where $a+b=q$.