33 citations · 126 across the 24 of their papers we have counts for
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An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We construct an abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra generated by the fundamental representation of $\mathrm{Sp}(2…
Secondary characteristic classes for subgroups of automorphism groups of free groups
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
By analyzing how the Borel regulator classes vanish on various groups related to , we define three series of secondary characteristic classes for subgrou…
Integral Euler characteristic of Out F_{11}
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We show that the integral Euler characteristic of the outer automorphism group of the free group of rank 11 is -1202.
Structure of symplectic invariant Lie subalgebras of symplectic derivation Lie algebras
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We study the structure of the symplectic invariant part of the Lie algebra consisting of symplectic derivations of the free…
Computations in formal symplectic geometry and characteristic classes of moduli spaces
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We make explicit computations in the formal symplectic geometry of Kontsevich and determine the Euler characteristics of the three cases, namely commutative, Lie and associative on…
Symmetry of symplectic derivation Lie algebras of free Lie algebras
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We show that a certain symmetry exists in the stable irreducible decomposition of the Lie algebra consisting of symplectic derivations of the free Lie algebra generated by the firs…
Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We determine the abelianizations of the following three kinds of graded Lie algebras in certain stable ranges: derivations of the free associative algebra, derivations of the free…