Super Automorphic Forms on the Super Upper Half Plane

Autor:	Knevel, Roland
Rok vydání:	2009
Předmět:	Mathematics - Complex Variables Mathematics - Functional Analysis 32C11 (Primary) 11F55 (Secondary)
Druh dokumentu:	Working Paper
Popis:	The super upper half plane, this is the ordinary upper half plane with additional odd (anticommuting) directions, admits a transitive super action of a certain super Lie group G . First we define the spaces of super automorphic and cusp forms on the super upper half plane for an ordinary lattice in G and give an asymptotic formula for their dimensions for high weight. For involving also the odd directions of G we introduce local super deformation of lattices in G and show that for high weight the spaces of super automorphic and cusp forms are stable under such local super deformations. Comment: 36 pages, no figures, minor changes and improvement of the results
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0908.4566 Zobrazit plný text záznamu View this record from Arxiv