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15
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Connection between Haars measure Hilbertspace and Quantum mechanics.

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#hilbert-spaces #lie-groups #quantum-mechanics #haar-measure
132
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The maximal normal subgroup in U(n) and SU(n)

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#group-theory #lie-groups #smooth-manifolds #quotient-spaces #homogeneous-spaces
41
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Evaluating a commutator involving exponentials?

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#manifolds #lie-groups #lie-algebras #physics #noncommutative-algebra
110
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ad-invariant skew-symmetric form $\omega(x,y,z)$

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#lie-groups #lie-algebras
182
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Determining a "minimal" set of component Affine transformations

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#linear-algebra #lie-groups #affine-geometry
116
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Exponential map and smooth structure on qoutient space of Lie group

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#differential-geometry #manifolds #lie-groups #smooth-manifolds
390
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Intuition behind the irrational line in a torus

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#group-theory #lie-groups
321
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Complexification of $\mathfrak{so}(p,q)$

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#abstract-algebra #lie-groups #lie-algebras
1.8k
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What is symplectic geometry?

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#linear-algebra #lie-groups #classical-mechanics #symplectic-geometry #symplectic-linear-algebra
969
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How to visualize symplectic transformations?

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#lie-groups #orthogonality #bilinear-form #symplectic-linear-algebra
458
Views

Confusion on the proof that SU$(n)$ is not a complex Lie subgroup of SL${}_n(\mathbb{C})$.

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#lie-groups #smooth-manifolds
96
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Morphisms of two fully reducible representations of a group

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#group-theory #representation-theory #lie-groups
199
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Proof that a set of matrices form a group. Is it a Lie group? Calculate the generators

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#linear-algebra #group-theory #lie-groups #lie-algebras #abelian-groups
55
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Is there a real version of the non-commutative Fourier transform?

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#fourier-analysis #representation-theory #lie-groups #harmonic-analysis #spherical-harmonics
598
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How to calculate the dimension of the Lie algebra associated with the complex Lorentz group? Calculate the generators associated with the Lie algebra

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#group-theory #lie-groups #lie-algebras #matrix-equations #matrix-rank

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