A survey of homotopy nilpotency and co-nilpotency
| Autor: | Marek Golasinski |
|---|---|
| Jazyk: | English<br />Ukrainian |
| Rok vydání: | 2020 |
| Předmět: |
classical lie group
h -fibration flag manifold (oriented) grassmann manifold homogenous space homology decomposition homotopy nilpotency (co-nilpotency) class h -space h0-space n-fold commutator (co-commutator) map p-localization loop space morava k-theory postnikov system projective space sphere stiefel manifold suspension space smash product Mathematics QA1-939 |
| Zdroj: | Pracì Mìžnarodnogo Geometričnogo Centru, Vol 13, Iss 4, Pp 1-23 (2020) |
| Druh dokumentu: | article |
| ISSN: | 2072-9812 2409-8906 |
| DOI: | 10.15673/tmgc.v13i4.1750 |
| Popis: | We review known and state some new results on homotopy nilpotency and co-nilpotency of spaces. Next, we take up the systematic study of homotopy nilpotency of homogenous spaces G/K for a Lie group G and its closed subgroup K < G. The homotopy nilpotency of the loop spaces Ω(Gn,m(K)) and Ω(Vn,m(K)) of Grassmann Gn,m(K) and Stiefel Vn,m(K) manifolds for K = R, C, the field of reals or complex numbers and H, the skew R-algebra of quaternions is shown. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|