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Deligne-Drinfeld Conjecture


The Deligne-Drinfeld conjecture asserts that the graded Grothendieck-Teichmüller Lie algebra over Q is a free Lie algebra with one generator in each odd weight 3, 5, 7, .... Weight is the total degree in the two generators used in its defining equations. The assertion includes both absence of relations among the proposed generators and generation of the whole Lie algebra.


See also

Free Lie Algebra, Grothendieck-Teichmueller Lie Algebra, Lie Algebra

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References

Alm, J. "The Grothendieck-Teichmueller Lie Algebra and Brown's Dihedral Moduli Spaces." 17 May 2018. https://arxiv.org/abs/1805.06684.

Cite this as:

Weisstein, Eric W. "Deligne-Drinfeld Conjecture." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Deligne-DrinfeldConjecture.html

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