Study of infinite dimensional algebraic groups and Lie algebras, and applications to material science and life science
Project/Area Number |
19540006
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Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | University of Tsukuba |
Principal Investigator |
MORITA Jun University of Tsukuba, 大学院・数理物質科学研究科, 教授 (20166416)
|
Project Period (FY) |
2007 – 2010
|
Project Status |
Completed (Fiscal Year 2010)
|
Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
Keywords | 代数群 / リー環 / 物質科学 / 生命科学 / 群論 / カッツ・ムーディ群 / カッツ・ムーディ・リー環 / 単純群 / 局所アフィン・リー環 / ムーディ予想 / 準決勝 / 文字列 / DNA配列 / 単純性 / 双建物理論 / タイル張り / 双代数 |
Research Abstract |
Some structures of infinite dimensional algebraic groups and Lie algebras have been studied. Especially, certain hyperbolic type Kac-Moody groups have been studied, and the classification of locally affine Lie algebras has been given. Algebraic theory related to finite and infinite sequences of letters has been created, and some algebraic method to control those sequences was found. Some useful mathematical applications to quasicrystals as material science and DNA sequences as life science have been constructed.
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Report
(6 results)
Research Products
(32 results)
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[Presentation] Words, Tilings and Combinatorics2008
Author(s)
Jun Morita
Organizer
Quantum affine Lie algebras, extended affine Lie algebras, and applications
Place of Presentation
Banff International Research Station, Canada
Year and Date
2008-03-06
Related Report
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