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What is the $\frac{1}{2}$ representation of $U(1)$?

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#group-theory #lie-groups #lie-algebras #mathematical-physics #superalgebra
347
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Jacobian of a parameterized homography ? $\frac{\partial{w(p)(x)}}{\partial{p}}$

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#optimization #lie-groups #lie-algebras #projective-geometry #lie-derivative
286
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Semisimple Lie algebras with invariant inner-products give compact Lie groups

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#lie-groups #lie-algebras
370
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Quotient of $\textrm{GL}(2,\textbf{R})$ by the conjugate action of $\textrm{SO}(2,\textbf{R})$

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#manifolds #lie-groups #smooth-manifolds
141
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Flatness and Stable Holomorphic Vector Bundles?

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#differential-geometry #lie-groups #complex-geometry
1.4k
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Is the adjoint representation of $SU(2)$ its triplet representation?

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#lie-groups #lie-algebras #change-of-basis
934
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Motivation and reducibility of principal series

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#representation-theory #lie-groups #automorphic-forms
426
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representations of real forms of simple lie algebra

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#representation-theory #lie-groups #lie-algebras
1.1k
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Understanding Godement's criterion on quotient manifolds

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#manifolds #lie-groups #smooth-manifolds
77
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About the closure of an orbit

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#lie-groups #topological-groups #group-actions
39
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Flips in algebraic spectral chromatography

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#real-analysis #differential-geometry #operator-theory #lie-groups
98
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Complex SO(n) and Degenerations

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#matrices #algebraic-geometry #lie-groups #complex-geometry #algebraic-groups
575
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Show that $\mathfrak {h}$ is maximal toral sualgebra iff $C_{\mathfrak {g}}(\mathfrak {h})=\mathfrak {h}$

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#lie-groups #lie-algebras
1.7k
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The identity component of G is a normal subgroup.

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#lie-groups #topological-groups
713
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Complexification of Lie groups

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#algebraic-geometry #lie-groups #lie-algebras

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