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15
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Confusion about dimension of Lie algebras, and 'isomorphism between Lie algebras'

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#manifolds #lie-groups #lie-algebras #group-isomorphism #linear-groups
82
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A connected Lie group for which the exp map is not surjective

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#differential-geometry #representation-theory #lie-groups #lie-algebras #connectedness
203
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Non-compact real forms of $\mathfrak {sl}_3(\mathbb C)$

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#lie-groups #lie-algebras
58
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Representation of a semisimple Lie algebra onto $\mathfrak{sl}_2(\mathbb C)$

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#representation-theory #lie-groups #lie-algebras
176
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Is the sum of coroots the coroot of the sum?

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#representation-theory #lie-algebras #root-systems
882
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Killing Form for $\mathfrak{sl}_{n}(\Bbb{C})$

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#lie-algebras #bilinear-form
25
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Derivative is again in Lie algebra.

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#lie-groups #lie-algebras
125
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Proof of Kac-Peterson formula

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#lie-algebras
264
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Lie bracket are equal when vector fields agree on neighbourhood of point.

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#differential-geometry #lie-algebras
48
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Non-zero admissible representation of $sl_\infty$

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#group-theory #representation-theory #lie-algebras
139
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Classification of Lie algebras.

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#lie-algebras
2.9k
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Isomorphic Lie Algebra $so(4)$ and $su(2) \times su(2)$

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#lie-groups #lie-algebras
910
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Casimir Element of $\mathfrak{sl}_{2}(\Bbb{C})$

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#linear-algebra #lie-algebras #trace #dual-spaces
181
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Restriction of a map to a Maximal Torus is surjective

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#lie-groups #lie-algebras
179
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2-dimensional irreducible representation of semisimple Lie algebras

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#representation-theory #lie-groups #lie-algebras

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