One class genera of lattice chains over number fields
Markus Kirschmer, Gabriele Nebe
TL;DR
This paper classifies all one-class genera of admissible lattice chains of length at least 2 in hermitian spaces over number fields, providing a comprehensive understanding of their structure.
Contribution
It offers a complete classification of one-class genera of lattice chains in hermitian spaces over number fields, a previously uncharted area.
Findings
Complete classification of one-class genera of lattice chains
Identification of structural properties of admissible lattice chains
Extension of lattice theory over number fields
Abstract
We classify all one-class genera of admissible lattice chains of length at least 2 in hermitian spaces over number fields.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Finite Group Theory Research