Moduli space of filtered lambda-ring structures over a filtered ring
| dc.creator | Yau, Donald | |
| dc.date | 2002-09-04 | |
| dc.date.accessioned | 2026-07-07T04:50:34Z | |
| dc.date.available | 2026-07-07T04:50:34Z | |
| dc.description | Motivated 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 $R \llbrack x \rrbrack$, where $R$ is between $\bZ$ and $\bQ$, 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 $R \llbrack x \rrbrack$ 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 non-isomorphic filtered $λ$-ring structures over some filtered rings, including rings of dual numbers over binomial domains, (truncated) polynomial and powers series rings over torsionfree $\bQ$-algebras. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/math/0209031 | |
| dc.identifier | http://arxiv.org/abs/math/0209031 | |
| dc.identifier | Int. J. Math. Math. Sci. (2004), no. 39, 2065-2084. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64841 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Commutative Algebra | |
| dc.subject | 16W70, 13K05, 13F25 | |
| dc.title | Moduli space of filtered lambda-ring structures over a filtered ring | |
| dc.type | text |