An extension of Minkowski's theorem to simply connected 2-step nilpotent groups

DOI10.4171/PM/1877zbMath1246.22011MaRDI QIDQ616632

Martin Moskowitz

Publication date: 12 January 2011

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

zbMATH Keywords

volumeLie algebradegreeconvex bodygradinghomogeneous subadditive normlog-latticeshrinking automorphismsimply connected nilpotent group

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25)

Related Items

The triangle inequality for graded real vector spaces

Cites Work

• An extension of Mahler's theorem to simply connected nilpotent groups
• Nilpotent Lie groups: Structure and applications to analysis
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
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