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.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Finite Group Theory Research
