2023.12.13

講演者古谷 賢朗 氏(大阪公立大学 数学研究所/東京理科大学名誉教授)
講演題目:Invariant integral lattices in pseudo H-type Lie algebras:
construction and classification
日時:2023年12月13日(水)16:30~17:30
場所:東京理科大学野田キャンパス4号館3階数理科学科セミナー室
概要:Pseudo H-type Lie algebras are a special class of 2-step nilpotent metric Lie algebras, intimately related to Clifford algebras Cl_r,s.
In this talk, after overviewing the known properties of these algebras, I explain a scheme to construct and classify invariant orthogonal lattices of these algebras and show the all explicit lattices for lower dimensional cases.
If time allows, as an application of this study, I will explain some property of the spectral zeta function of the sub-Laplacian on the corresponding compact nil-manifolds.
The main part of this talk is based on a joint work with Prof. Irina Markina (University of Bergen, Norway).
共催:東京理科大学幾何学セミナー
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