classifying space of a topological group in the gel'fand — fuks sensedoi:10.1007/BF01075450G. B. SegalKluwer Academic Publishers-Plenum PublishersFunctional Analysis & Its ApplicationsSegal, G. B. (1975) A classifying space of a topological group in the Gel'fand-Fuks sense. Funkts. Anal. ...
This paper extends certain characterizations of nullhomotopic maps between p-compact groups to maps with target the p-completed classifying space of a connected Kac-Moody group and source the classifying space of either a p-compact group or a connected Kac-Moody group. A well known inductive prin...
One way to understand the mod p homotopy theory of classifying spaces of finite groups is to compute their BZ/p-cellularization. In the easiest cases this is a classifying space of a finite group (always a finite p-group). If not, we show that it has infinitely many non-trivial homotopy...
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We compute the homology of the space of equivariant loops on the classifying space of a simplicial monoid $M$ with anti-involution, provided $\pi_0 (M)$ is central in the homology ring of $M$. The proof is similar to McDuff and Segal's proof of the group completion theorem. Then we...
SynopsisComponents in the function space of maps from a space X to the classifying space BG of a topological group G can sometimes be distinguished up to h... Sutherland,A W. - 《Proceedings of the Royal Society of Edinburgh》 被引量: 40发表: 1992年 ...
Cohomology mod 3 of the classifying space of the exceptional Lie group $E_6$, II : The Weyl group invariants We calculate the Weyl group invariants with respect to a maximal torus of the exceptional Lie group $E_6$. M Mimura,Y Sambe,M Tezuka - 《Social Science Electronic Publishing》 ...
Theorem 1. Let G be a compact connected simple Lie group and let p be an odd prime which divides the order of the Weyl group. Suppose X is a p-complete space such that Zrl(X) is finite, that H*(X; Fp) is of finite type, and that the component of the space of based maps ...
Magick is a subtle and curious thing and often works in ways you do not expect and at times you do not expect- but it always works. Every magical act bring... F Limit 被引量: 0发表: 2005年 Cohomology mod 3 of the classifying space of the exceptional Lie group $E_6$, II : The...
Cohomology mod 3 of the classifying space of the exceptional Lie group $E_6$, II : The Weyl group invariants We calculate the Weyl group invariants with respect to a maximal torus of the exceptional Lie group $E_6$. M Mimura,Y Sambe,M Tezuka - 《Social Science Electronic Publishing》 ...