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Course Notes
pdf.
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Quaternions
pdf.
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Smoothness of inversion
pdf.
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Adjoint representation
pdf.
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Maximal compact subgroups
pdf.
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ODE
pdf.
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Integral curves
pdf.
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More applications of the exponential map
pdf.
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Local and global Frobenius theorems
pdf.
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Character theory
pdf.
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Representations of sl(2)
pdf.
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Weyl groups and character lattices
pdf.
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Weyl Jacobian
pdf.
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Class functions and Weyl groups
pdf.
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Weyl group computations
pdf.
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Fundamental groups
pdf.
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Clifford algebras
pdf.
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SU(2)
pdf.
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Coroot
pdf.
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Dual root system
pdf.
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Root system calculations
pdf.
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Root system decomposition
pdf.
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Size of fundamental groups
pdf.
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Non-closed commutators
pdf.
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Simple factors
pdf.
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Table of centers
pdf.
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Representation ring and algebraicity
pdf.
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