The research of algebra as fundamental tools of Mathematical Science

作为数学科学基本工具的代数研究

• 批准号: 07304004
• 负责人: KOIKE Masao
• 金额: $ 12.86万
• 依托单位: KYUSHU UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (A)
• 财政年份: 1995
• 资助国家: 日本
• 起止时间: 1995 至 1996
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07304004/
• 关键词: Algebra; Algebraic Number Theory; Algebraic Combinatorics; Commutative ring theory; Modular forms; Representation Theory; Aralytic Number Theory; 代数的組み合せ論; 可換環論; 可挽環論; 代数群

We held 21 symposiums on many topics in algebra. Among them, there are (1) The 40th, 41st Algebra Symposiums, (2) The 12th Symposium on algebraic combinatorics, (3) The 3rd, 4th Summer School on modular forms, (4) The 28th Symposium on ring theory,(5) Conference on semi group, language and related topics, (6) The 17th Symposium on commutative ring theory, (7) International conference on analytic number theory, (8) The 29th Symposium on ring theory and representation theory, (9) The 6th Symposium on representation theory of algebra, (10) Conference on algebraic number theory and Fermat's Last Theorem, (11) Conference on computation and algebrs, (12) Conference on mondular forms on algebraic groups, (13) Conference on zeta functions and modular forms, (14) conference on number theory, (15) Workshop on Thompson series.The details of topics which are announced and discussed in these symposiums are published as proceedings.

我们就代数的许多主题举办了 21 场研讨会。其中，有（1）第40、41届代数研讨会，（2）第12届代数组合研讨会，（3）第3、4届模形式暑期学校，（4）第28届环论研讨会，（5） ）半群、语言及相关主题会议，（6）第十七届交换环理论研讨会，（7）国际解析数论会议，(8) 第29届环论与表示论研讨会，(9) 第六届代数表示论研讨会，(10) 代数数论与费马大定理会议，(11) 计算会议和代数，(12) 代数群模形式会议，(13) zeta 函数和模形式会议，(14) 代数群模形式会议数论，（15）汤普森系列研讨会。这些研讨会公布和讨论的主题的详细信息均以论文集形式出版。

项目成果

E.Bannai: "Generaliged generaliged opin models(four-weight spin models)" Pacific J.Math.170. 1-16 (1995)

E.Bannai：“Generaliged 广义意见模型（四权重自旋模型）” Pacific J.Math.170。

Eiichi Bannai: "Construction of Jacobi forms from certain combinatorial polynomials" Proc. Japan Acad.72. 24-27 (1996)

Eiichi Bannai：“从某些组合多项式构造雅可比形式”Proc。

T.Tanisaki: "Kazhdan-Lusztig conjecture for affire hie alg.with negatie level II" Duke Math.J.84. 771-813 (1996)

T.Tanisaki：“Kazhdan-Lusztig 猜想 for affire hie alg.with negatie level II”Duke Math.J.84。

T.Katura: "Multi canonical systems of elliptic sinfaces in small char." Compositio Math.97. 119-134 (1995)

T.Katura：“小字符椭圆正弦面的多规范系统。”

T.Katura: "Multicanonical systems of elliptic swfaces in small char." Compositio Math.97. 119-134 (1995)

T.Katura：“小字符椭圆形表面的多规范系统。”