On the characteristic classes and The Chow ring of the exceptional Lie groups

Research Project

Project/Area Number	20540099
Research Category	Grant-in-Aid for Scientific Research (C)
Allocation Type	Single-year Grants
Section	一般
Research Field	Geometry
Research Institution	Kinki Health Welfare University
Principal Investigator	NISHIMOTO Tetsu Kinki Health Welfare University, 社会福祉学部, 准教授 (80330520)
Co-Investigator(Renkei-kenkyūsha)	MIMURA Mamoru 岡山大学, 理学部, 名誉教授 (70026772) NAKAGAWA Masaki 香川高等専門学校, 一般教育科, 講師 (50370036)
Project Period (FY)	2008 – 2010
Project Status	Completed (Fiscal Year 2010)
Budget Amount *help	¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000) Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000) Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000) Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywords	トポロジー / リー群
Research Abstract	In order to determine the cohomology of the classifying space of the exceptional Lie group, the action of the cohomology operation and the characteristic classes induced by the representation, we made some programs using some computer algebra system. We compute the cohomology of the classifying space of some exceptional Lie groups applying the programs.

Report

(4 results)