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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.21 No.2
- 발행연도
- 2018.1
- 수록면
- 293 - 300 (8page)
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초록· 키워드
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We prove local triviality of a semisimple algebra bundle and that its corresponding Lie algebra bundle is a direct summand of the centre and a semisimple ideal bundle. Further we prove that the radical bundle of an algebra bundle is a characteristic ideal bundle. Using these results we establish that an algebra bundle is semisimple if and only if its derivation algebra bundle is either semisimple or zero.
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참고문헌 (20)
참고문헌 신청
P. M. Cohn / 1965 / Lie groups / Cambridge University press
C. Chidambara / 1994 / On Cohomology of Associative algebra bundles / J.Ramanujan Math. Soc. 9:1~12
D. Coppersmith / 1977 / A Family of Lie algebras Not Extendible to A Family of Lie Groups / Proc. Amer. Math. Soc. 66:365~366
A. Douady / 1966 / Espace fibres algebres de Lie et en groupes / Invent. Math. 1:133~151
M. Gerstenhaber / 1964 / On the deformation of rings and algebras / Ann.of Math. 79:59~103
C. Chidambara / 1994 / On Cohomology of Associative algebra bundles / J.Ramanujan Math. Soc. 9:1~12
D. Coppersmith / 1977 / A Family of Lie algebras Not Extendible to A Family of Lie Groups / Proc. Amer. Math. Soc. 66:365~366
A. Douady / 1966 / Espace fibres algebres de Lie et en groupes / Invent. Math. 1:133~151
M. Gerstenhaber / 1964 / On the deformation of rings and algebras / Ann.of Math. 79:59~103
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