Equivariant holomorphic maps into the Siegel disc and the metaplectic representation

Journal of the Australian Mathematical Society

Jean-Louis Clerc¹ 

关键词: primary 22E46;    secondary 43A85;   

DOI  :  10.1017/S1446788700000732

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

We restrict the metaplectic representation to subgroups G of the symplectic group associated to equivariant holomorphic maps into the Siegel disc. We describe the invariant subspaces of the decomposition, and reduce the problem to the decomposition of a space of ‘harmonic’ polynomials under the action of the maximal compact subgroup of G.

【 授权许可】

Unknown