Extreme lattices and vexillar designs

DOI10.1016/j.jalgebra.2009.09.026zbMath1220.11085arXiv0812.2659OpenAlexW2964228445MaRDI QIDQ848525

N. E. Zubov

Publication date: 4 March 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2659

zbMATH Keywords

designHermite constantextreme latticevexillar design

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Minima of forms (11H50)

Cites Work

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• Finite groups admitting Grassmannian 4-designs
• Young diagrams and determinantal varieties
• Determinantal rings
• A characteristic free approach to invariant theory
• Spherical codes and designs
• Codes and designs in Grassmannian spaces.
• Representation functors and flag-algebras for the classical groups. II
• Designs in Grassmannian spaces and lattices
• Designs, groups and lattices
• Generalised Hermite constants, Voronoi theory and heights on flag varieties
• On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
• Generalized Jacobi Polynomials as Spherical Functions of the Grassmann Manifold
• Symmetric squares, spherical designs, and lattice minima. Appendix: Two-designs and code minima by Christine Bachoc and Pham Huu Tiep

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