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I do not understand the difference between SO(3,1) and Spin(3,1)

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#lie-groups
44
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Do the nilpotent linear operators form a Lie algebra

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#linear-algebra #matrices #lie-groups #lie-algebras
67
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Does $ Spin(2n+1) $ always contain $ Spin(2n) \rtimes Out(Spin(2n)) $?

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#lie-groups #automorphism-group
68
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Orthogonal group subject to a linear constraint

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#linear-algebra #matrices #geometry #group-theory #lie-groups
54
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Inverse map from SO(n) to $\mathfrak{so}(n)$

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#group-theory #lie-groups #lie-algebras
44
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Non-measurable group homomorphisms from $SL(2,\mathbb{C})$ to itself.

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#group-theory #representation-theory #lie-groups
64
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An explicit isomorphism between $\mathbb{R}^+ \times {\rm Spin}^c(3,1)$ and ${\rm GL}^+(2,\mathbb{R})\times {\rm GL}^+(2,\mathbb{R})$?

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#group-theory #lie-groups #spin-geometry #classical-groups #exceptional-isomorphisms
76
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Question about local and global properties of functions $\mathbb{R}^n \rightarrow \mathbb{R}^n$

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#partial-differential-equations #representation-theory #lie-groups
78
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Computing the tangent space at the non-unit element of Lie group by using left translation

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#differential-geometry #lie-groups #smooth-manifolds #orthogonal-matrices #tangent-spaces
66
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Derive a formula for a curve on a lie group

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#general-topology #group-theory #manifolds #lie-groups #lie-algebras
61
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Undergraduate resources for gates in quantum computing?

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#reference-request #lie-groups #unitary-matrices #quantum-computation #quantum-information
889
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How to calculate lie bracket in this case

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#differential-geometry #lie-groups
338
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Lie Groups and Lie Algebra for Nonlinear System Dynamics

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#reference-request #lie-groups #lie-algebras #nonlinear-system
64
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Erlangen-Style approach to Homogneoues Fiber Bundles

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#lie-groups #smooth-manifolds #fiber-bundles #homogeneous-spaces #supergeometry
113
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Does the QR/Iwasawa decomposition have any geometric meaning for $2 \times 2$ complex matrices?

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#linear-algebra #lie-groups #matrix-decomposition #mobius-transformation #symmetric-spaces

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