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15
671
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Show that $ad(X)$ is also diagonalisable.

Published on
#linear-algebra #matrices #lie-groups #lie-algebras #adjoint-operators
94
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Lie group empty boundary

Published on
#differential-geometry #manifolds #differential-topology #lie-groups
192
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About the tangent space of a coadjoint orbit

Published on
#lie-groups #smooth-manifolds #quotient-spaces #symplectic-geometry
169
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Good Basis for Lie Group Representations?

Published on
#representation-theory #lie-groups
208
Views

Derivative of the product of two curves on manifolds using the pushforward

Published on
#lie-groups #smooth-manifolds
80
Views

Adjoint orbit of an regular and elliptic element of $\mathrm{SP}(2n,\mathbb{R})$

Published on
#lie-groups #lie-algebras #symplectic-linear-algebra
742
Views

Proof of Hopf's theorem (the one about cohomology of Lie groups being equal to the cohomology of a product of spheres)

Published on
#differential-geometry #reference-request #algebraic-topology #lie-groups #homology-cohomology
243
Views

A question on the proof of Gelfand-Kazhdan theorem.

Published on
#representation-theory #lie-groups #lie-algebras #gelfand-representation
274
Views

The exponential function and one-parameter subgroups

Published on
#lie-groups #lie-algebras #exponentiation #matrix-exponential
304
Views

The super group $GL(1|1)$

Published on
#linear-algebra #lie-groups #graded-rings #superalgebra
201
Views

Maximal tori and compact subgroups of $SL_n(\mathbb{C})$?

Published on
#lie-groups
280
Views

How does the universal enveloping algebra of a Lie algebra act on its Lie group?

Published on
#differential-geometry #lie-groups #lie-algebras
205
Views

Definition of the adjoint action as a left multiplication on GL(V)

Published on
#representation-theory #lie-groups
184
Views

Weights appearing in a finite-dimensional module over semisimple Lie algebra

Published on
#linear-algebra #representation-theory #lie-groups #lie-algebras #homological-algebra
84
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Geometric Reference(s) for finite groups of Lie type

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#reference-request #finite-groups #lie-groups #finite-fields

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