논문KCI 등재
ON THE RADICAL BUNDLE OF A LIE ALGEBRA BUNDLE
0
조회
0
다운로드
2
인용
0
참고문헌
키워드
주제분류수학
초록
We show that the radical and nilradical bundles are characteristic ideal bundles of a Lie algebra bundle. Further a Lie algebra bundle is semisimple if and only if its derivation algebra bundle is semisimple.
Abstract
We show that the radical and nilradical bundles are characteristic ideal bundles of a Lie algebra bundle. Further a Lie algebra bundle is semisimple if and only if its derivation algebra bundle is semisimple.
참고문헌 (20)
- M. F. Atiyah, "-Theory" (1967), M, W.A.Benjamin, Inc
- C. Chidambara, "On Cohomology of Associative Algebra Bundles bundles", J. Ramanujan Math.Soc, 9(1), pp.1~12 (1994)
- D. Coppersmith, "A familly of Lie algebras not extendible to a family of Lie groups", Proc. Amer. math. Soc, 66(2), pp.365~366 (1977)
- Douady, A, "Espace fibr´es alg`ebres de Lie et en groupes", Invent. Math, 1, pp.133~151 (1966)
- W. Greub, "Connections, Curvature and Cohmology" (1973), Academic Press
- Harish-Chandra, "Faithful Representations of Lie Algebras", Ann. of Math., Second Series, 50(1), pp.68~76 (1949)
- Harish-Chandra, "On the Radical of a Lie Algebra", Proc. Amer. Math. Soc, 1(1), pp.14~17 (1950)
- G.Hochschild, "Semi-Simple Algebras and Generalized Derivations", Amer.J. Math., 64(1), pp.677~694 (1942)
- James E. Humphreys, "Introduction to Lie Algebras and representation theory" (1972), Springer- Verlag
- D.Husemoller, "Fibre Bundles" (1966), McGraw Hill
- N.Jacobson, "Lie Algebras" (1962), Wiley
- B.S.Kiranagi, "Lie algerbra bundles", Bull. Sci. Math., 2e serie, 102, pp.57~62 (1978)
- B.S.Kiranagi, "Semisimple Lie Alegebra Bundles", Bull. Math de la Sci. Math. de la R.S. de Roumanie, 27(75), pp.253~257 (1983)
- B.S.Kiranagi, "Lie algebra bundles and Lie rings", Proc. Nat.Acad.Sci.India, 54, pp.38~44 (1984)
- B.S. Kiranagi, "Cohomology of Lie algebra bundles and its applications", Ind. J.Pure and Appl. Math, 16(7), pp.731~735 (1985)
- B.S.Kiranagi, "A decomposition theorem of Lie algebra bundles", Comm. in Algebra, 18(6), pp.869~877 (1990)
- B.S. Kiranagi, "Rigidity theorem for Lie algebra bundles", Comm.in Algebra, 20(6), pp.1549~1556 (1992)
- B.S. Kiranagi, "Revisiting Hochschild Cohomology for Algbera Bundles", J. Algebra Appl, 20(6), pp.685~715 (2008)
- B. S. Kiranagi, "Applications of Cohomology of Lie Algebra Bundles", Proc. Int. conf. on Recent Advances in Mathematical Sciences and Applications (RAMSA), pp.199~208 (2009)
- B.S.Kiranagi, "On Completely Semisimple Lie Algebra Bundles", ~
관련 논문AI추천
ON DERIVATION ALGEBRA BUNDLE OF AN ALGEBRA BUNDLEB. MADHU, B.S. Kiranagi, K. AJAYKUMAR, RANJITHA KUMAR장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제2호ENGEL'S AND LIE'S THEOREMS FOR LIE ALGEBRA BUNDLESB MADHU, B S KIRANAGI, K AJAYKUMAR, R. Rangarajan장전수학회 · Advanced Studies in Contemporary Mathematics2021 · 제31권 제1호ON MODULE BUNDLES OVER ALGEBRA BUNDLESB. S. KIRANAGI, H. M. PRASAD, R. RAJENDRA장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2021 · 제24권 제2호On pull back Lie algebra bundlesB.S. Kiranagi, RANJITHA KUMAR, R. RAJENDRA장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제4호Lie algebra bundles and a generalization of Lie group bundlesB.S. Kiranagi, K. AJAYKUMAR장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제4호ALGEBRA BUNDLES WHOSE m-DIMENSIONAL COHOMOLOGY MODULES ARE ZEROB.S. Kiranagi, R. Rajendra장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제3호
이 간행물의 다른 논문 (14건)
Simplified model for finite-dimensional quasirepresentaions of amenable groupsA. I. Shternpp. 355-360Identities involving Bernoulli and Euler polynomials arising from Chebyshev polynomialsS. H. Rim, 김대산, D. V. Dolgy, T. Kimpp. 361-370A note on vague-smooth homomorphismC.S. Ryoo, H.Y. Lee, 정남순pp. 371-377Common fixed points of weakly contractive and compatible mapsGbenga Akinbo, O.T. Mewomopp. 379-387A further generalization of the Euler polynomials and on the 2D-Euler polynomialsBURAK KURTpp. 389-394