Heisenberg Manifolds and Theta Functions

DOI10.2307/1997858zbMath0398.22017OpenAlexW4232253708MaRDI QIDQ4182928

Richard Tolimieri

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1997858

zbMATH Keywords

Discrete SubgroupsHeisenberg GroupHolomorphic Theta FunctionsIrreducible Infinite Dimensional Representation

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Theta functions and abelian varieties (14K25) Nilpotent and solvable Lie groups (22E25)

Related Items (12)

Compact Heisenberg manifolds as CR manifolds ⋮ Spectral asymptotics on compact Heisenberg manifolds ⋮ Limit theorems for higher rank actions on Heisenberg nilmanifolds ⋮ Equidistribution for higher-rank abelian actions on Heisenberg nilmanifolds ⋮ Lattices in the four-dimensional split oscillator group ⋮ Symmetry Properties of the Zero Sets of Nil-Theta Functions ⋮ A matrix free treatment of the problem of Riemann matrices ⋮ Heat kernel transform on nilmanifolds associated to H-type groups ⋮ Compact quotients of Cahen-Wallach spaces ⋮ Analytic representations with theta functions for systems on ℤ(d) and on 𝕊 ⋮ Homogeneous complex surfaces ⋮ Transversal local rigidity of discrete abelian actions on Heisenberg nilmanifolds

Cites Work

• Lectures on quadratic forms. Reissued
• Translation-invariant subspaces in L\(^2\) of a compact nilmanifold. I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Heisenberg Manifolds and Theta Functions