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15
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I need help understanding notation from group theory articles and literature

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#abstract-algebra #group-theory #notation #lie-groups #vector-fields
35
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Lagrangian Grassmanian as Homogeneous Space

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#lie-groups #homogeneous-spaces #symplectic-linear-algebra
246
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A perfect finite dimensional Lie algebra with nontrivial center

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#lie-groups #lie-algebras #homological-algebra
291
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In the proof of smoothness of the exponential map of Lie group ( John Lee's Smooth manifolds )

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#differential-geometry #lie-groups #smooth-manifolds
90
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Compact and connected exceptional Lie group $G_2$

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#lie-groups #lie-algebras
30
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Textbooks on the Riemannian geometry of homogenous manifolds

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#reference-request #riemannian-geometry #lie-groups #quotient-spaces
104
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Multiplication of Lie group element and Lie algebra element over field $K$.

Published on
#lie-groups #lie-algebras
157
Views

A question about the classification of compact Lie groups

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#lie-groups #compactness #simple-groups
168
Views

Trivial tangent bundle not diffeomorphic to 2n-dimensional open set

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#differential-geometry #lie-groups #smooth-manifolds #diffeomorphism #tangent-bundle
80
Views

How to I take the quotient $GL^+(2,\mathbb{R})/SO(2,\mathbb{R})$

Published on
#differential-geometry #manifolds #lie-groups #quotient-spaces #quotient-group
74
Views

Find the derivative of a left-translation map

Published on
#group-theory #lie-groups #lie-algebras #vector-fields
63
Views

Gauge group as a Lie group

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#differential-geometry #lie-groups #lie-algebras #principal-bundles
129
Views

Condition implying $N(H)/H$ a Coxeter group?

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#group-theory #finite-groups #representation-theory #lie-groups #coxeter-groups
103
Views

A compact connected Lie group with trivial center is a direct product of simple groups

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#lie-groups
64
Views

Do multi-parameter unitary subgroups exist?

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#lie-groups #lie-algebras #quantum-mechanics #unitary-matrices #quantum-groups

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