On common fundamental domains

DOI10.1016/j.aim.2013.02.016zbMath1279.22035arXiv0903.1456OpenAlexW2963435136MaRDI QIDQ390763

Palle E. T. Jorgensen, Gabriel Picioroaga, Dorin Ervin Dutkay, De Guang Han

Publication date: 8 January 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.1456

zbMATH Keywords

latticepolynomial growthpackinggroup actionfundamental domain

Mathematics Subject Classification ID

General properties and structure of locally compact groups (22D05) Combinatorial aspects of tessellation and tiling problems (05B45) Induced representations for locally compact groups (22D30) Combinatorial aspects of packing and covering (05B40) Measurable group actions (22F10)

Related Items (2)

Smooth lattice orbits of nilpotent groups and strict comparison of projections ⋮ Decomposing the wavelet representation for shifts by wallpaper groups

Cites Work

• Geometry of locally compact groups of polynomial growth and shape of large balls
• Fourier coefficients of modular forms and eigenvalues of a Hecke operator
• Gabor frames and directional time-frequency analysis
• Von Neumann algebras associated with pairs of lattices in Lie groups
• Regularly related lattices in Lie groups
• Orbit equivalence rigidity
• A direct integral decomposition of the wavelet representation
• A survey of Measured Group Theory
• Ergodic decomposition for pairs of lattices in Lie groups.
• Discrete Subgroups Isomorphic to Lattices in Semisimple Lie Groups
• Discrete Subgroups Isomorphic to Lattices in Lie Groups
• Sur les algèbres de Weyl
• Lattice tiling and the Weyl-Heisenberg frames
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