Criteria for the existence of cuspidal theta representations

Solomon Friedberg, David Ginzburg

نتاج البحث: نشر في مجلةمقالةمراجعة النظراء

ملخص

Theta representations appear globally as the residues of Eisenstein series on covers of groups; their unramified local constituents may be characterized as subquotients of certain principal series. A cuspidal theta representation is one which is equal to the local twisted theta representation at almost all places. Cuspidal theta representations are known to exist but only for covers of GLj, j≤ 3. In this paper we establish necessary conditions for the existence of cuspidal theta representations on the r-fold metaplectic cover of the general linear group of arbitrary rank.

اللغة الأصليةالإنجليزيّة
رقم المقال16
دوريةResearch in Number Theory
مستوى الصوت2
رقم الإصدار1
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 1 ديسمبر 2016

All Science Journal Classification (ASJC) codes

  • !!Algebra and Number Theory

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