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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.31 No.1
- 발행연도
- 2021.1
- 수록면
- 99 - 106 (8page)
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We prove the Engel's structure theorem for a Lie algebra bundle E by proving the existence of a nite dimensional ample Lie subalgebra of Γ(E), the Lie algebra of all sections of E. Further Lie's theorem is proved using the existence of a joint eigenvector in the ample Lie subalgebra of Γ(E) corresponding to a solvable subalgebra bundle X of End(E).
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참고문헌 (9)
참고문헌 신청
M. F. Atiyah / 1967 / K-Theory / W.A.Benjamin, Inc.
A. Douady / 1966 / Espaces fibres en algebres de Lie et en groupes / Invent. Math. 1:133~151
F. B. Gonzalez / 2007 / Lie algebras, lecture notes
W. Grueb / 1972 / Connections, Curvature, and Cohomology Vol I / Academic Press New York and London
H. Gundogan / 2011 / Classification and stucture theory of Lie algebras of smooth sections / Logos Verlag Berlin GmbH
A. Douady / 1966 / Espaces fibres en algebres de Lie et en groupes / Invent. Math. 1:133~151
F. B. Gonzalez / 2007 / Lie algebras, lecture notes
W. Grueb / 1972 / Connections, Curvature, and Cohomology Vol I / Academic Press New York and London
H. Gundogan / 2011 / Classification and stucture theory of Lie algebras of smooth sections / Logos Verlag Berlin GmbH
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