An alternative approach to Lie groups and geometric structures (Book, 2018) []
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An alternative approach to Lie groups and geometric structures

Author: Ercüment H Ortaçgil; Oxford University Press.
Publisher: Oxford : Oxford University Press, 2018.
Edition/Format:   Print book : English : First edition, impression: 2View all editions and formats

The theory of Lie groups is one of the most important mathematical themes of the last century and belongs to the centre of modern differential geometry. Whilst the subject is well established, this  Read more...


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Document Type: Book
All Authors / Contributors: Ercüment H Ortaçgil; Oxford University Press.
ISBN: 9780198821656 0198821654
OCLC Number: 1088965985
Description: XII, 211, [2] strony ; 24 cm.
Contents: Fundemental concepts1: Parallelizable manifolds2: The nonlinear curvature3: Local Lie Groups (LLG.s)4: The centralizer5: s-invariance6: The linear curvature7: The structure objectSome Consequences8: The nonlinear Spencer sequence9: Deformations10: The de Rham cohomology of a LLG11: The linear Spencer sequence12: The secondary characteristic classes13: The homogeneous flow14: The Van Est Theorem15: The symmetry groupHow to Generalize16: Klein geometries17: The universal jet groupoids18: Embeddings of Klein geometries into universal jet groupoids19: The de.nition of a prehomogeneous geometry (PHG)20: Curvature and generalized PHG.s
Responsibility: Ercüment H. Ortaçgil.


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In this very nice and unusual book, the author proposes an alternative approach to the theory of Lie groups, together with some applications and generalization of it. The approach proposed is Read more...

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