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math.AT2011★ 1 cited
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…
math.AT2011★ 6 cited
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…