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PULLBACK OF LIE ALGEBRA AND LIE GROUP BUNDLES, AND THEIR HOMOTOPY INVARIANCE
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نویسنده
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ajaykumar k. ,kiranagi b. s. ,rangarajan r.
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منبع
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journal of algebra and related topics - 2020 - دوره : 8 - شماره : 1 - صفحه:15 -26
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چکیده
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We study the pullback lie algebra (group) bundle of a lie algebra (group) bundle and show that the lie algebra bundle of the pullback of a lie group bundle g is isomorphic to the pullback of the lie algebra bundle of g. then, using the notion of lie connection on a lie algebra bundle, we show that the pullbacks of a lie algebra bundle ξ over a smooth manifold m with respect to two smooth homotopic functions f0,f1:n→m are isomorphic to lie algebra bundles over n.
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کلیدواژه
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Lie algebra and Lie group bundles ,pullback of bundles ,principal bundles ,homotopy invariance.
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آدرس
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chinmaya vishwavidyapeeth, school of ppsh, India, university of mysore, department of mathematics, India, university of mysore, department of mathematics, India
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Authors
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