M. Mimura, Homotopy theory of Lie groups, Handbook of algebraic topology, North-Holland, Amsterdam (1995), 951-991.M. Mimura, Homotopy theory of Lie groups. In: Handbook of algebraic topology, p. 951-991. North-Holland, Amsterdam (1995). MR 97c:57038M. Mimura, `Homotopy theory of Lie...
This chapter discusses the homotopy theory of lie groups. M.S. Lie created the notion of Lie group, then called it a topological group. One of the motivati... Abstract,P Groups,PF Groups 被引量: 0发表: 0年 Parametrized homotopy theory compact Lie groups, we develop the homotopy theory ...
The v1-periodic homotopy groups v-11π*(X; p) are computed explicitly for all pairs (X, p), where X is an exceptional Lie group whose integral homology has no p-torsion. This yields new lower bounds for p-exponents of actual homotopy groups of these spaces. Delicate calculations with ...
We investigate the group ${cal E}_#(X)$ of self homotopy equivalences of a space X which induce the identity homomorphism on all homotopy groups. We obtain results on the structure of ${cal E}_#(X)$ provided the p-localization $X_{(p)}$ of X has the homotopy type of a p-...
The geometry with ordinary basic groups is called simply connected. The calculation of basic groups involves more in-depth details, such as the specific definition of topology, mapping between topological Spaces, etc., which cannot be explained in detail here. For friends who are interested in ...
Compact Lie groupsEquivariant mapsWe describe explicit presentations of all stable and the first nonstable homotopy groups of the unitary groups. In particular, for each n >= 2 we supply n homotopic maps that each represent the (n-1)!-th power of a suitable generator of pi_2n(U(n)) =...
Homotopy nilpotent Lie grops have no torsion in homology (eng) In studying torsion-free nilpotent groups of class 2 it is a key fact that each central group extension ZnEZmis representable by abilinearcocycle. So for i... VK Rao 被引量: 10发表: 1997年 On dimensions in Bredon homology ...
dmivilensky / Sampling-from-homotopy-groups-of-spheres Star 7 Code Issues Pull requests Sampling from π_n(S^2). Application of optimization and machine learning methods to problems of algebraic topology topology embeddings gradient-descent group-theory homotopy evolutionary-algorithm cayley-graphs ...
The homotopy groups of a spectrum whose {m BP}\\sb *-homology is v\\sp {-1}\\sb 2{m BP}\\sb */(2,v\\sb 1\\sp \\infty)[t\\sb 1]øtimesŁambda(t\\sb 2) MASAMOTO KEIKO , MATSUHISA TSUYOSHI , SHIMOMURA KATSUMI Osaka Journal of Mathematics 33(1), 69-82, 1996-03年份...
Homotopy Theory of Lie Groups he considers rational and integral cohomology rings, including torsion, unitary K-theory, Morava K-theory, Brown-Peterson cohomology, stable and unstable homotopy groups, mod p decomposition, the number of homotopy classes of multiplications... M Mimura 被引量: 99发表...