A survey of homotopy nilpotency and co-nilpotency
| dc.contributor.author | Marek Golasinski | |
| dc.date.accessioned | 2021-03-04T13:57:53Z | |
| dc.date.available | 2021-03-04T13:57:53Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | 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. | |
| dc.identifier.issn | 2409-8906 | |
| dc.identifier.uri | https://card-file.ontu.edu.ua/handle/123456789/16677 | |
| dc.source | Proceedings of the International Geometry Center | |
| dc.title | A survey of homotopy nilpotency and co-nilpotency |