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ADDENDUM TO "AN ABELIAN QUOTIENT OF THE SYMPLECTIC DERIVATION LIE ALGEBRA OF THE FREE LIE ALGEBRA" (離散群と双曲空間のトポロジーと解析)

ADDENDUM TO "AN ABELIAN QUOTIENT OF THE SYMPLECTIC DERIVATION LIE ALGEBRA OF THE FREE LIE ALGEBRA" (離散群と双曲空間のトポロジーと解析)
紙デジタル記事
SHIGEYUKI MORITA, TAKUYA SAKASAI, MASAAKI SUZUKI<Z43-1336>数理解析研究所講究録(2062):2018.4p.1-9
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  • 要約等...tic derivation Lie algebra mathfr......_{g, 1} of the free Lie algebra generated by the fund...

Multiplicity-free branching rules for outer automorphisms of simple Lie algebras

Multiplicity-free branching rules for outer automorphisms of simple Lie algebras
紙デジタル記事
Hidehisa Alikawa<Z53-A209>Journal of the Mathematical Society of Japan59(1) 2007.1p.151～177
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  • 要約等We find explicit multiplicity-free branching rule......ions of simple Lie algebras $¥mathfrak g$ ......fixed point subalgebras $¥mathfrak g$<......st of pairs of Lie algebras ($¥mathfrak g$......erms of the subalgebras $¥mathfrak g$<sup>σ</sup> on ...
  • 件名branching rule multiplicity free outer automorp......ism semisimple Lie groups character of Lie groups
  • 参照...te-Dimensional Lie Algebras Young-diagramm......ized Kac–Moody Algebras@c Lie Groups Beyond ......f Multiplicity-Free Representation......y Multiplicity-free Theorems of th......tial Geometry, Lie Groups, and Sy......s Multiplicity-free Representations and Visible A...

The symplectic derivation Lie algebra of the free commutative algebra (Intelligence of Low-dimensional Topology)

The symplectic derivation Lie algebra of the free commutative algebra (Intelligence of Low-dimensional Topology)
紙デジタル記事
原子 秀一<Z43-1336>数理解析研究所講究録(2163):2020.7p.82-88
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Multiplicity-Free Branching Rules for Outer Automorphisms of Simple LIE Algebras (組合せ論的表現論とその周辺 研究集会報告集)

Multiplicity-Free Branching Rules for Outer Automorphisms of Simple LIE Algebras (組合せ論的表現論とその周辺 研究集会報告集)
紙デジタル記事
有川 英寿<Z43-1336>数理解析研究所講究録(通号 1310) 2003.4p.178～185
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  • 並列タイトル等（連結）複素単純LIE群の外部自己同型の重複度1の分岐則について
  • 並列タイトル等複素単純LIE群の外部自己同型の重複度1の分岐則について

Symplectic structures on free nilpotent Lie algebras

Symplectic structures on free nilpotent Lie algebras
紙記事
Viviana DEL BARCO<Z53-T494>Proceedings of the Japan Academy. Series. A, Mathematical sciences / issued by 日本学士院95(8):2019.10p.88-90
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  • 件名Free nilpotent Lie algebras symplectic structures

Symmetry of symplectic derivation Lie algebras of free Lie algebras

Symmetry of symplectic derivation Lie algebras of free Lie algebras
デジタル記事
2017RIMS Kokyuroku BessatsuB66p.185-193
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Symmetry of symplectic derivation Lie algebra of free Lie algebras

Symmetry of symplectic derivation Lie algebra of free Lie algebras
記事
2017RIMS Kokyuroku Bessatsu, Geometry and Analysis of Discrete Groups and Hyperbolic SpacesB66p.185-194
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Symmetry of symplectic derivation Lie algebras of free Lie algebras.

Symmetry of symplectic derivation Lie algebras of free Lie algebras.
記事
2017RIMS Kokyuroku Bessatsu66p.185-193
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Symmetry of symplectic derivation Lie algebras of free Lie algebras

Symmetry of symplectic derivation Lie algebras of free Lie algebras
記事
2017RIMS Kokyuroku Bessatsu印刷中
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An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra

An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra
デジタル記事
2018Experimental Mathematics印刷中
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An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra

An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra
記事
2018Experimental Mathematics27p.302-315
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An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra

An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra
記事
2017Experimental Mathematics未定
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An Abelian Quotient of the Symplectic Derivation Lie Algebra of the Free Lie Algebra

An Abelian Quotient of the Symplectic Derivation Lie Algebra of the Free Lie Algebra
デジタル記事
2017-01-17Experimental Mathematics27 3p.302-315
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  • 参照...ctic invariant Lie subalgebras of symplectic derivation Lie algebras Integral Euler...... of derivation Lie algebras of the free associative algebra and the free Lie algebra The Ra......tomorphisms of free groups Infinitesimal presenta...

An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra

An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra
記事
2017Experimental Mathematics印刷中
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Symmetry of symplectic derivation Lie algebras of free Lie algebras (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces)

Symmetry of symplectic derivation Lie algebras of free Lie algebras (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces)
デジタル記事
2017-06数理解析研究所講究録別冊B66p.185-193
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  • 要約等...osition of the Lie algebra consis......vations of the free Lie algebra generated by the firs...
  • 件名17B40 17B56 17B65 free Lie algebra symplectic derivation...

Symmetry of symplectic derivation Lie algebras of free Lie algebras (Geometry and Analysis of Discrete Groups and Hyperbolic Spaces)

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デジタル記事
Morita, Shigeyuki, 逆井, 卓也, Suzuki, MasaakiResearch Institute for Mathematical Sciences, Kyoto University2017-06数理解析研究所講究録別冊B66p.185-193
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  • 件名17B40 17B56 17B65 free Lie algebra symplectic derivation...

ADDENDUM TO "AN ABELIAN QUOTIENT OF THE SYMPLECTIC DERIVATION LIE ALGEBRA OF THE FREE LIE ALGEBRA" (Topology and Analysis of Discrete Groups and Hyperbolic Spaces)

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デジタル記事
森田, 茂之, 逆井, 卓也, 鈴木, 正明京都大学数理解析研究所2018-04数理解析研究所講究録2062p.1-9
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  • 件名20F28 20J06 17B40 symplectic derivations outer automorphism group free group

Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra

Abelianizations of derivation Lie algebras of the free associative algebra and the free Lie algebra
デジタル記事
2013-04-01Duke Mathematical Journal162 5
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  • 参照An Abelian Quotient of the Symplectic Derivation Lie Algebra of the Free Lie Algebra
  • 参照...tomorphisms of free groups Ornate ...... Cohomology of Lie Algebras Characteristic......urface bundles Lie algebras of symplectic derivations and...

On the derivation algebra of the free Lie algebra and trace maps

On the derivation algebra of the free Lie algebra and trace maps
デジタル記事
2011-10-14Algebraic & Geometric Topology11 5p.2861-2901
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  • 参照...ism group of a free group Übern-di......tomorphisms of free groups and free metabelian groups Families of jacobian m......Integration in Free Groups The non......hism groups of free nilpotent grou......ism group of a free nilpotent grou......ism group of a free group A reduct......ism group of a free group Cohomolo......ism group of a free metabelian gro......atorics of the Free Lie Algebra and th......hism groups of free nilpotent grou......tomorphisms of Free Groups and Free Nilpotent Grou......rs for AutG, G free nilpotent The ......ISM GROUP OF A FREE GROUP Treue Darstellung Liescher Ringe.

On the derivation algebra of the free Lie algebra and trace maps

On the derivation algebra of the free Lie algebra and trace maps
記事
2011Algebraic and Geometric Topology11p.2861-2901
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