| 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 |
Department of Mathematics
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