An Abelian Quotient of the Symplectic Derivation Lie Algebra of the Free Lie Algebra

DOI10.1080/10586458.2016.1266975zbMath1498.17010arXiv1608.07645OpenAlexW2962864720WikidataQ115295924 ScholiaQ115295924MaRDI QIDQ4689858

Shigeyuki Morita, Masaaki Suzuki, Takuya Sakasai

Publication date: 22 October 2018

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07645

zbMATH Keywords

free groupouter automorphism groupsymplectic derivations

Mathematics Subject Classification ID

Cohomology of groups (20J06) Identities, free Lie (super)algebras (17B01) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Automorphism groups of groups (20F28)

Related Items (2)

Morita’s trace maps on the group of homology cobordisms ⋮ Characteristic classes of moduli spaces— Riemann surface, graph, homology cobordism

Cites Work

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• Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras
• The Rational Cohomology of the Mapping Class Group Vanishes in its Virtual Cohomological Dimension
• The Rational Homology Group of Out(F_n) forn≤ 6
• Infinitesimal presentations of the Torelli groups
• Morita’s trace maps on the group of homology cobordisms
• Integral Euler Characteristic of OutF₁₁
• Hairy graphs and the unstable homology of Mod(g , s ), Out(F _n ) and Aut(F _n )
• On the homology and cohomology of congruence subgroups

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