A study of symmetry using the theory of automorphic forms

Research Project

Project/Area Number	15K04775
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Multi-year Fund
Section	一般
Research Field	Algebra
Research Institution	University of the Ryukyus (2017) Yamagata University (2015-2016)
Principal Investigator	MIEZAKI Tsuyoshi 琉球大学, 教育学部, 准教授 (60584068)
Project Period (FY)	2015-04-01 – 2018-03-31
Project Status	Completed (Fiscal Year 2017)
Budget Amount *help	¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000) Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000) Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000) Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords	符号 / 格子 / 頂点作用素代数 / マトロイド / 保型形式 / 重さ多項式 / タット多項式 / 高種数化 / サイクル多項式 / マシュームーンシャイン / 擬テータ関数 / 群論
Outline of Final Research Achievements	The purpose of this study is the classification of the codes, the lattices, and the vertex operator algebras, from the point of view of the automorphic forms and the design theory.