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Theory of quantum differential geometry

Research Project

Project/Area Number 20540095
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionTokyo University of Science

Principal Investigator

OMORI Hideki  Tokyo University of Science, 理工学部・数学科, 教授 (20087018)

Co-Investigator(Kenkyū-buntansha) KOBAYASI Takao  東京理科大学, 理工学部・数学科, 教授 (90178319)
吉岡 朗  東京理科大学, 理学部, 教授 (40200935)
Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Keywords微分幾何 / 変形量子化 / 表示変形論 / 非可換幾何学 / *-積 / ワイル代数 / 非可換微分幾何
Research Abstract

Deformation quantization gives a method of univalent expression of elements of non-commutative algebra. This may be viewed as a deformation theory of expression of element of algebra.
We succeeded the construction of the general theory of deformation expressions for elements of Weyk algebras. This gives a suggestive toy model for the theory of observation in physics.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (9 results)

All 2012 2011 2010 2008 Other

All Journal Article (5 results) (of which Peer Reviewed: 1 results) Book (3 results) Remarks (1 results)

  • [Journal Article] Deformation Expression for Element of Algebra.2012

    • Author(s)
      H.Omori, Y.Maeda, A.Yoshioka, N.Miyazaki
    • Journal Title

      arXiv 1104

      Pages: 1708-1708

    • Related Report
      2010 Final Research Report
  • [Journal Article] Deformation Expression for Element of Algebra(I).2012

    • Journal Title

      aeXiv 1104

      Pages: 2109-2109

    • Related Report
      2010 Final Research Report
  • [Journal Article] Deformation Expression for Element of Algebra (II).2012

    • Author(s)
      H.Omori, Y.Maeda, A.Yoshioka, N.Miyazaki
    • Journal Title

      arXiv 1105

      Pages: 1218-1218

    • Related Report
      2010 Final Research Report
  • [Journal Article] Deformation Expression for Elements of Algebra2011

    • Author(s)
      H.Omoni
    • Journal Title

      arXiv:1104.1708vl[math.ph]

      Volume: (on line)

    • Related Report
      2010 Annual Research Report
  • [Journal Article] A new nontormal noucommutative calculus, Associatiuity and fimite pant negulagation2008

    • Author(s)
      Hideki Omoni
    • Journal Title

      SHF Publications, Astensque 321

      Pages: 267-297

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Book] 力学的な微分幾何2011

    • Author(s)
      大森英樹
    • Publisher
      日本評論社
    • Related Report
      2010 Final Research Report
  • [Book] (改訂)力学的な微分幾何2010

    • Author(s)
      大森英樹
    • Total Pages
      192
    • Publisher
      日本評論社
    • Related Report
      2009 Annual Research Report
  • [Book] 幾何学への新しい視点2008

    • Author(s)
      八森英樹
    • Total Pages
      190
    • Publisher
      遊 星 社
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ等

    • Related Report
      2010 Final Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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