Strongly reversible classes in $\mathrm{SL}(n,\mathbb{C})$
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866910860223447040 |
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| author | Gongopadhyay, Krishnendu Lohan, Tejbir Maity, Chandan |
| author_facet | Gongopadhyay, Krishnendu Lohan, Tejbir Maity, Chandan |
| contents | An element of a group is called $\textit{strongly reversible}$ or $\textit{strongly real}$ if it can be expressed as a product of two involutions. We provide necessary and sufficient conditions for an element of $\mathrm{SL}(n,\mathbb{C})$ to be a product of two involutions. In particular, we classify the strongly reversible conjugacy classes in $\mathrm{SL}(n,\mathbb{C})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_07967 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Strongly reversible classes in $\mathrm{SL}(n,\mathbb{C})$ Gongopadhyay, Krishnendu Lohan, Tejbir Maity, Chandan Group Theory Primary 20E45, 15A23, Secondary 15A21, 15A27 [2020] An element of a group is called $\textit{strongly reversible}$ or $\textit{strongly real}$ if it can be expressed as a product of two involutions. We provide necessary and sufficient conditions for an element of $\mathrm{SL}(n,\mathbb{C})$ to be a product of two involutions. In particular, we classify the strongly reversible conjugacy classes in $\mathrm{SL}(n,\mathbb{C})$. |
| title | Strongly reversible classes in $\mathrm{SL}(n,\mathbb{C})$ |
| topic | Group Theory Primary 20E45, 15A23, Secondary 15A21, 15A27 [2020] |
| url | https://arxiv.org/abs/2307.07967 |