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Adjoint representation of $SL(2,\mathbb{R})$

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#lie-groups #lie-algebras
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In Lie groups, why is left translation a diffeomorphism?

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#lie-groups
870
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The generalized orthogonal group

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#lie-groups
2.7k
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Is the center of the universal enveloping algebra generated by the center of the lie algebra?

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#lie-groups #lie-algebras #noncommutative-algebra
256
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Quaternion representation of rotations

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#linear-algebra #abstract-algebra #lie-groups
224
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Any material on complexification?

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#linear-algebra #reference-request #differential-geometry #manifolds #lie-groups
53
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Questions about eigenvalues of matrices in $\operatorname{GL}_2(\mathbb{F}_q)$.

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#linear-algebra #representation-theory #lie-groups
99
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Lie groups: Show $L_y \circ x_t = x_t \circ L_y$ where $x_t$ is the flow of a left invariant differentiable vector field

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#lie-groups
12k
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SO(2) group generator Lie Algebra

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#lie-groups #lie-algebras #mathematical-physics #infinite-groups
93
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Isometries of a general metric

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#differential-geometry #metric-spaces #lie-groups #general-relativity
1.6k
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Invariant bilinear forms on Lie algebras

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#lie-groups #lie-algebras #bilinear-form
217
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Questions about cuspidal representations of $\operatorname{GL}_2(\mathbb{F}_q)$.

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#representation-theory #lie-groups
229
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Is there an easy way to tell if these two SO(2)s in SO(4) are conjugate?

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#lie-groups #group-actions #homogeneous-spaces
52
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Non-solvable, closed subgroups of $\mathrm{PSL}(2,\mathbb{R})$

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#lie-groups #topological-groups #solvable-groups
953
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Modular function of the unipotent radical of a parabolic subgroup of a reductive group

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#representation-theory #lie-groups #reductive-groups

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