Zonal Functions for the Unitary Groups and Applications to Hermitian Lattices期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Zonal Functions for the Unitary Groups and Applications to Hermitian Lattices

Authors:	Christine Bachoc Gabriele Nebe

Institution:	^a Laboratoire A2X, Université Bordeaux I, 351, cours de la Libération, 33405, Talence, Francef1bachoc@math.u-bordeaux.frf1 ^b Abteilung Reine Mathematik, Universität Ulm, 89069, Ulm, Germanyf2nebe@mathematik.uni-ulm.def2

Abstract:	We study the decomposition of the space L²(Sⁿ⁻¹) under the actions of the complex and quaternionic unitary groups. We give an explicit basis for the space of zonal functions, which in the second case takes account of the action of the group of quaternions of norm 1. We derive applications to hermitian lattices.

Keywords:	lattice theta series unitary groups zonal function
本文献已被 ScienceDirect 等数据库收录！