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.

我们举行了21次关于代数许多主题的研讨会。其中有（1）第40、41届代数专题讨论会，（2）第12届代数组合学专题讨论会，（3）第3、4届模形式暑期班，（4）第28届环论专题讨论会，（5）半群、语言及相关专题会议，（6）第17届交换环论专题讨论会，（7）解析数论国际会议，（8）第29届环论与表示论研讨会，（9）第6届代数表示论研讨会，（10）代数数论与费马大定理会议，（11）计算与代数会议，（12）会议的mondular形式的代数群，（13）会议的zeta函数和模块化形式，（14）会议的数论，（15）研讨会的汤普森系列。详细的主题，其中宣布和讨论，在这些专题讨论会出版的会议记录。

项目成果

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。”

谷崎 俊之: "D加群と代数群" シュプリンガー フェアラーク東京, 308 (1995)

Toshiyuki Tanizaki：“D 模和代数群” Springer Verlag Tokyo，308 (1995)

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。