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LIE GROUPS AND LIE ALGEBRAS (M2, Helgason)

Lecture Topic : (Pure Math) LIE GROUPS AND LIE ALGEBRAS (M2, Helgason)

Prerequisites : Lie Groups and Lie Algebras (M1); Abstract Algebra (M1); Manifold Theory (M1); General Topology (M1); Representation Theory (M1);

Recommended Text(s) :

“Differential Geometry and Symmetric Spaces”, Sigurdur Helgason, Academic Press, 1962.

Approx price new on Amazon.com (hard copy) :  –

Approx price second hand on Amazon.com (hard copy) : $17

Availability free on eMule.com (e-format) : Yes

eMule search key word(s) : Helgason, Differential Geometry

Lectures and Links :

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Lecture 1  (link)

Ch.1   Elementary Differential Geometry

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Lecture 2  (link)

Ch.2   Lie Groups and Lie Algebras

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Lecture 3  (link)

Ch.3   Structure of Semisimple Lie Algebras

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Lecture 4  (link)

Ch.4   Symmetric Spaces

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Lecture 5  (link)

Ch.5   Decomposition of Symmetric Spaces

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Lecture 6  (link)

Ch.6   Symmetric Spaces of the Noncompact Type

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Lecture 7  (link)

Ch.7   Symmetric Spaces of the  Compact Type

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Lecture 8  (link)

Ch.8   Hermitian Symmetric Spaces

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Lecture 9  (link)

Ch.9   On the Classification of Symmetric Spaces

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Lecture 10  (link)

Ch.10   Function of Symmetric Spaces

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Links to Other Lecturers on this Topic :

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