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Tangent Space of SL(n,R) at arbitrary point, e.g. not at $\mathbb{1}$

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#matrices #differential-geometry #lie-groups #matrix-equations #matrix-calculus
983
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Tangent Space of SymSL(n,$\mathbb{R}$) at arbitrary point

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#matrices #differential-geometry #lie-groups #matrix-equations #matrix-calculus
413
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What is the relation between the determinant of the adjoint representation, and volume or eigenvalues?

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#differential-geometry #lie-groups #lie-algebras #smooth-manifolds #exterior-algebra
295
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Witt algebra as infinitesimal symmetries of the diffeomorphism group of the circle?

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#abstract-algebra #lie-groups #lie-algebras #smooth-manifolds #mathematical-physics
597
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Tensor product of Verma modules

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#representation-theory #lie-groups #lie-algebras
114
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Why $\mathrm{SU}_2(\mathbb{C})/\lbrace \pm 1 \rbrace \cong \mathrm{SO}_3(\mathbb{R})$ is exceptionnal?

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#group-theory #lie-groups #lie-algebras #group-isomorphism #exceptional-isomorphisms
222
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Question on submodule of Lie algebra

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#representation-theory #lie-groups #lie-algebras
465
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The adjoint action and its orbits

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#differential-geometry #lie-groups #lie-algebras
74
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Qoutient of simply-connected nilpotent groups

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#differential-geometry #lie-groups #lie-algebras
3.1k
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Surjectivity of Exponential Map of a Lie group

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#differential-geometry #lie-groups #lie-algebras
89
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Is every representation of $SO(3)$ the restriction of a representation of $U(3)$?

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#representation-theory #lie-groups
183
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Questions about maximal torus of semisimple derivations of a nilpotent Lie algebra

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#linear-algebra #lie-groups #lie-algebras #algebraic-groups
111
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The real form actions on flag manifolds

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#algebraic-geometry #lie-groups #lie-algebras #algebraic-groups
396
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Concrete example of Lie algebra in which a composition $X\cdot Y$ is not in the Lie algebra?

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#differential-geometry #manifolds #lie-groups #lie-algebras
78
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What is the terminology of this subgroup of $GL_{n+m}(\mathbb{R})$?

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#linear-algebra #matrices #lie-groups

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