Timeline for Reference on generators of subgroups of symplectic groups
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
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| Aug 23, 2022 at 19:59 | comment | added | Doug Liu | For a set of generators of $\Gamma_g[q]$ with least cardinal, see Generating the Johnson filtration by Church and Putman, Lemma 5.4. | |
| Apr 2, 2013 at 15:30 | answer | added | Tom | timeline score: 0 | |
| Mar 6, 2013 at 1:31 | history | edited | Venkataramana | CC BY-SA 3.0 |
added 2 characters in body; added 26 characters in body
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| Mar 5, 2013 at 19:26 | answer | added | ncr | timeline score: 2 | |
| Mar 5, 2013 at 19:02 | history | edited | agt | CC BY-SA 3.0 |
I replaced the brackets {} with \{\}
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| Mar 5, 2013 at 18:05 | comment | added | Tom | Indeed, Mumford gives generators for $\Gamma_g$,$\Gamma_g[2]$ and $\Gamma_g[1,2]$ on pages 202-210. But to be honest I was hoping for more. | |
| Mar 5, 2013 at 17:22 | comment | added | Tom | Dear J, as you proposed I just clarified the notation $M=(A B \\ C D)$. With the few generators I was tkinking of E. Freitag 'Siegelsche Modulformen' (in Springer's Comprehensive Studies 254 ) appendix V pages 322-328. The proof relies on the fact that he finds for an EUCLIDEAN ring 'smaller' or 'easier to handle' sets of generators for $SL(g,R)$ and $GL(g,R)$. Now I'm having a look in the 2 books you mentioned. | |
| Mar 5, 2013 at 17:13 | history | edited | Tom | CC BY-SA 3.0 |
added notation $M=(A B \\ C D)$
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| Mar 5, 2013 at 17:07 | answer | added | Venkataramana | timeline score: 1 | |
| Mar 5, 2013 at 16:56 | comment | added | JHM | Maybe you could also clarify that you're considering M=(A B \\ C D). | |
| Mar 5, 2013 at 16:53 | comment | added | JHM | Have you looked at Igusa's book "Theta functions" or Mumford's "Tata Lectures on theta I"? Plus I would also say that $Sp_{2g}R$ is generated by transvections (as you've described) and GL_g(R) via diagonals (A 0 \\ 0 {}^tA^{-1}). Just $J$ and transvections are not enough. | |
| Mar 5, 2013 at 16:46 | history | asked | Tom | CC BY-SA 3.0 |