Abstract
We construct an abelian quotient of the symplectic derivation Lie algebra hg,1 of the free Lie algebra generated by the fundamental representation of Sp(2g,Q). More specifically, we show that the weight 12 part of the abelianization of hg,1 is 1-dimensional for g ⩾ 8. The computation is done with the aid of computers.
| Original language | English |
|---|---|
| Pages (from-to) | 302-315 |
| Number of pages | 14 |
| Journal | Experimental Mathematics |
| Volume | 27 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 3 Jul 2018 |
Keywords
- Primary 20F28
- Secondary 20J06, 17B40
- free group
- outer automorphism group
- symplectic derivations
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Morita, S., Sakasai, T., & Suzuki, M. (2018). An Abelian Quotient of the Symplectic Derivation Lie Algebra of the Free Lie Algebra. Experimental Mathematics, 27(3), 302-315. https://doi.org/10.1080/10586458.2016.1266975