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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2511.16121 |
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| _version_ | 1866914165405253632 |
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| author | Minami, Haruo |
| author_facet | Minami, Haruo |
| contents | Consider the quotient $G/B$ of a simple matrix Lie group $G$ by a subgroup $B$ isomorphic to a direct product of some of $S^1$s and $S^3$s such that its adjoint representation can be extended over $G$. Then it naturally inherits a stable framing from a twisted left invariant framing $\mathscr{L}^α$ of $G$ where $α$ is the realization of a complex representation of $G$. In this note we want to add some homotopy elements represented by such quotient framed manifolds to those presented in a table of [E. Ossa 1982]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16121 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On homotopy elements represented by quotients of Lie groups Minami, Haruo Algebraic Topology 22E46, 55Q45 Consider the quotient $G/B$ of a simple matrix Lie group $G$ by a subgroup $B$ isomorphic to a direct product of some of $S^1$s and $S^3$s such that its adjoint representation can be extended over $G$. Then it naturally inherits a stable framing from a twisted left invariant framing $\mathscr{L}^α$ of $G$ where $α$ is the realization of a complex representation of $G$. In this note we want to add some homotopy elements represented by such quotient framed manifolds to those presented in a table of [E. Ossa 1982]. |
| title | On homotopy elements represented by quotients of Lie groups |
| topic | Algebraic Topology 22E46, 55Q45 |
| url | https://arxiv.org/abs/2511.16121 |