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q-analog de Rham cohomology

Research Project

Project/Area Number 04640148
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 解析学
Research InstitutionNagoya University

Principal Investigator

AOMOTO Kazuhiko  Nagoya Univ. Sci. Professor, 理学部, 教授 (00011495)

Co-Investigator(Kenkyū-buntansha) OZAWA Tetsuya  Nagoya Univ. Sci. Assoc. Professor, 理学部, 講師 (20169288)
MURAI Takafumi  Nagoya Univ., 情報文化学部, 教授 (00109266)
TSYCHIYA Akihiro  Nagoya Univ. Sci. Professor, 理学部, 教授 (90022673)
OHSAWA Takeo  Nagoya Univ. Sci. Professor, 理学部, 教授 (30115802)
SHIKATA Yoshihiro  Nagoya Univ. Sci. Professor, 理学部, 教授 (50028114)
Project Period (FY) 1992 – 1993
Project Status Completed (Fiscal Year 1993)
Budget Amount *help
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1993: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1992: ¥1,000,000 (Direct Cost: ¥1,000,000)
Keywordsq de Rham complex / Jackson integral / connection formula / twisted de Rham / exponential product formula / 量子ド・ラーム複体 / ジャクソン積分 / Yang-Baxter方程式
Research Abstract

I have been searching for general structures behind basic hypergeometric functions. The point lies in considering the q-analog de Rham cohomology H (X,F,V)an algebraic torus X, associated with a q-multiplicative function F.Especially I have been working on connection problem and succeeded in finding an explicit formula in case of A type Jackson integral.

Report

(3 results)
  • 1993 Annual Research Report   Final Research Report Summary
  • 1992 Annual Research Report
  • Research Products

    (11 results)

All Other

All Publications (11 results)

  • [Publications] Kazuhiko AOMOTO: "Gauss decompition of connection matrices and application to Yang-Baxter equations,I" Proc.Japan Acad.89. 238-242 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Takafumi MURAI: "Interference of Two Aeroplanes" Kodai Math.J.16. 355-360 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Takafumi MURAI: "The Complex Velocity Fields Induced by Several Thin Obstacles" J.Math.Pures Appl.72. 181-211 (1993)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kazuhiko AOMOTO: "Gauss decompition of connection matrices and application to Yang-Baxter eqaution, I" Proc. Japan Acad.89. 238-242 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Takafumi MURAI: "Interference of Two Aeroplanes" Kodai Math. J.16. 355-360 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Takafumi MURAI: "The Complex Velocity Fields Induced by Several Thin Obstaclies" J.Math.Pures Appl.72. 181-211 (1993)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1993 Final Research Report Summary
  • [Publications] Kazuhiko AOMOTO: "Gauss decompition of connection matrices and application to Yang-Baxter equations,I" Proc.Japan Acad.89. 238-242 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Takafumi MURAI: "Interference of Two Aeroplanes" Kodai Math.J.16. 355-360 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] Takafumi MURAI: "The Complex Velocity Fields Induced by Several Thin Obstaclies" J.Math.Pures.Appl.72. 181-211 (1993)

    • Related Report
      1993 Annual Research Report
  • [Publications] K.AOMOTO,Y.Kato and K.Mimachi: "A solution of the Yang-Baxter equation" International Math,Research Ntes,Dake Math.1. 7-15 (1992)

    • Related Report
      1992 Annual Research Report
  • [Publications] K.AOMOTO: "Hyperlogauithmic expansions and the Volume of a hypbbic simplex" Banach Centre Pub.27. 9-21 (1992)

    • Related Report
      1992 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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