Automorphisms of modular lattices

[摘要] The methods to classify extremal unimodular lattices with given automorphisms are extended to the situation of modular lattices. A slightly more general notion than the type from the PhD thesis [11] is the det-type. The det-type of an automorphism on L determines the one of all partial dual lattices of L. This easy observation allows to exclude quite a few det-types of automorphisms left open in [11]. Passing to suitable p-maximal lattices, extremal l-modular lattices of composite level l = 14 and l = 15 of dimension 12 and the ones of level l = 6 and dimension 16 are classified. (C) 2020 Elsevier B.V. All rights reserved.

[发布日期] 2021-07-01

[效力级别]  Proceedings Paper