A survey of homotopy nilpotency and co-nilpotency
2020 ◽
Vol 13
(4)
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pp. 1-23
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.
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2007 ◽
Vol 18
(07)
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pp. 783-795
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Keyword(s):
1976 ◽
Vol 19
(4)
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pp. 435-439
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Keyword(s):
1986 ◽
Vol 6
(2)
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pp. 167-182
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2017 ◽
Vol 28
(06)
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pp. 1750046
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1968 ◽
Vol 31
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pp. 105-124
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1982 ◽
Vol 34
(1)
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pp. 220-232
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