moduli space of filtered λ-ringstructures over a filtered ring
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ID: 215346
2004
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Abstract
Motivated in part by recent works on the genus of classifying spaces of compact Lie groups, here we study the set of filtered λ-ring structures over a filtered ring from a purely algebraic point of view. From a global perspective, we first show that this set has a canonical topology compatible with the filtration on the given filtered ring. For power series rings R[[x]], where R is between ℤ and ℚ, with the x-adic filtration, we mimic the construction of the Lazard ring in formal group theory and show that the set of filtered λ-ring structures over R[[x]] is canonically isomorphic to the set of ring maps from some universal ring U to R. From a local perspective, we demonstrate the existence of uncountably many mutually nonisomorphic filtered λ-ring structures over some filtered rings, including rings of dual numbers over binomial domains, (truncated) polynomial, and power series rings over ℚ-algebras.
| Reference Key |
yau2004internationalmoduli
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|---|---|
| Authors | ;Donald Yau |
| Journal | structural engineering and mechanics |
| Year | 2004 |
| DOI |
10.1155/S0161171204304138
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| URL | |
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