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15
106
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Smooth quadrics as quotient of $SO(2n+1)$

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#abstract-algebra #algebraic-geometry #lie-groups #algebraic-groups
128
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Lie Symmetry Third Prolongation

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#partial-differential-equations #lie-groups
247
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In representation theory terminology: Branching rule vs decomposition?

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#group-theory #representation-theory #terminology #lie-groups #lie-algebras
256
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Quadratic P.S.D. differential operator that is invariant under $\textrm{SL}(2, \mathbb{R})$

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#functional-analysis #differential-geometry #lie-groups #differential-operators #invariance
105
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R and S Lie Subalgebra usp$_4$ to su$_2$ gives several different results -- how are they related?

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#group-theory #modules #representation-theory #lie-groups #lie-algebras
102
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R and S Lie Subalgebra $su_4$ to $su_2$ gives several different results — how are they related?

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#group-theory #representation-theory #lie-groups #lie-algebras #dynkin-diagrams
79
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"enlarged" form and Aut(Spin(8))

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#group-theory #representation-theory #lie-groups #lie-algebras #spin-geometry
135
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Why are solvmanifolds of importance?

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#manifolds #lie-groups #lie-algebras #smooth-manifolds #solvable-groups
78
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Discrete Abelian subgroups of Euclidean isometries

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#lie-groups #isometry #integer-lattices
583
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Motivation for Killing Form and Root Diagrams

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#representation-theory #lie-groups #lie-algebras
540
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Invariance of Killing Form

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#representation-theory #lie-groups #lie-algebras
241
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Compact semisimple Lie groups contain no nontrivial unipotent elements?

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#lie-groups #lie-algebras
102
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epimorphisms of Lie groups send unipotent elements to unipotent elements.

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#lie-groups #lie-algebras
395
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What is the Killing form of the orthogonal Lie algebra $\mathfrak o(4)$?

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#representation-theory #lie-groups #lie-algebras #quadratic-forms #semisimple-lie-algebras
1.7k
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Irreducible representations of an abelian group $G$ are $1$-dimensional.

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#representation-theory #lie-groups

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