1988 Fiscal Year Final Research Report Summary
Galois Descent Problem in Algebraic K-Theory
| Project/Area Number |
62540037
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
代数学・幾何学
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| Research Institution | Shiga University |
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Principal Investigator |
MASAHIKO NIWA Shiga University, Faculty of Education, Associate Professor, 教育学部, 助教授 (00024969)
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| Co-Investigator(Kenkyū-buntansha) |
SHIRO YAMAZOE Shiga University, Faculty of Education, Associate Professor, 教育学部, 助教授 (10075137)
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| Project Period (FY) |
1987 – 1988
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| Keywords | G-category / O_G-category / Galois Descent / Fibered Category / 代数的K理論 |
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| 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.
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