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Eisenstein series on arithmetic quotients of loop groups

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Publication:1574740
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DOI10.4310/MRL.1999.v6.n6.a11zbMath1005.11041MaRDI QIDQ1574740

Howard Garland

Publication date: 13 August 2000

Published in: Mathematical Research Letters (Search for Journal in Brave)


zbMATH Keywords

Riemann zeta functionEisenstein seriesconvolution operatorsconvergence criterionaffine Kac-Moody Lie algebraarithmetic quotients of loop groups


Mathematics Subject Classification ID

Loop groups and related constructions, group-theoretic treatment (22E67) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)


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Loops in exceptional field theory ⋮ Entirety of certain cuspidal Eisenstein series on Kac-Moody groups ⋮ On the theta functional of Weil representations for symplectic loop groups ⋮ Theta functions and Weil representations of loop symplectic groups ⋮ Kac–Moody groups and automorphic forms in low dimensional supergravity theories ⋮ Cancellation of divergences up to three loops in exceptional field theory ⋮ Eisenstein series on rank 2 hyperbolic Kac-Moody groups ⋮ On the Siegel-Weil theorem for loop groups. I ⋮ Eisenstein series on loop groups



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