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Galois Descent Problem in Algebraic K-Theory

Research Project

Project/Area Number 62540037
Research Category

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

Allocation TypeSingle-year Grants
Research Field 代数学・幾何学
Research InstitutionShiga University

Principal Investigator

MASAHIKO NIWA  Shiga University, Faculty of Education, Associate Professor, 教育学部, 助教授 (00024969)

Co-Investigator(Kenkyū-buntansha) SHIRO YAMAZOE  Shiga University, Faculty of Education, Associate Professor, 教育学部, 助教授 (10075137)
Project Period (FY) 1987 – 1988
Project Status Completed (Fiscal Year 1988)
Budget Amount *help
¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1988: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1987: ¥500,000 (Direct Cost: ¥500,000)
KeywordsG-category / O_G-category / Galois Descent / Fibered Category / 代数的K理論 / 代数的K群 / G-圏 / ホモトピー極限問題
Research Abstract

The notion of a category with an action of a group G - a G-category - is needed to make algebraic K-theory equivariant one. Though various notions have been used so far, the relations between these notions don't have been explained explicitly yet. I dealed uniformly with the notions of G-categories and established the comparison in the complete form by introducing the notion of a g-category from the point of view of galois descent in linear categories. It's important to consider simultaneously the limit categories together with G-categories and G-functors because of my philospohy "equivariant = Galois descent". The objects to appear are as follows.
([.zu.])
I also refer to exact G-categories and Q-construction induction theory etc.

Report

(3 results)
  • 1988 Annual Research Report   Final Research Report Summary
  • 1987 Annual Research Report
  • Research Products

    (5 results)

All Other

All Publications (5 results)

  • [Publications] Masahiko NIWA: "G-categories and O_G-categories -(prearranged)"

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] Masahiko NIWA: "Lax colimits over abelian monoids and lax limits over groups (prearranged"

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1988 Final Research Report Summary
  • [Publications] 丹羽雅彦: 数理科学講究録. 609. 61-75 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] Shiyo YAMAZOE: 滋賀大学教育学部紀要. 37. 1-7 (1987)

    • Related Report
      1987 Annual Research Report
  • [Publications] Masahiko NIWA: 滋賀大学教育学部紀要. 38. (1988)

    • Related Report
      1987 Annual Research Report

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Published: 1987-04-01   Modified: 2016-04-21  

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