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15
666
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Show that $ad(X)$ is also diagonalisable.

Published on
#linear-algebra #matrices #lie-groups #lie-algebras #adjoint-operators
91
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Lie group empty boundary

Published on
#differential-geometry #manifolds #differential-topology #lie-groups
183
Views

About the tangent space of a coadjoint orbit

Published on
#lie-groups #smooth-manifolds #quotient-spaces #symplectic-geometry
168
Views

Good Basis for Lie Group Representations?

Published on
#representation-theory #lie-groups
205
Views

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

Published on
#lie-groups #smooth-manifolds
74
Views

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

Published on
#lie-groups #lie-algebras #symplectic-linear-algebra
739
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
238
Views

A question on the proof of Gelfand-Kazhdan theorem.

Published on
#representation-theory #lie-groups #lie-algebras #gelfand-representation
268
Views

The exponential function and one-parameter subgroups

Published on
#lie-groups #lie-algebras #exponentiation #matrix-exponential
295
Views

The super group $GL(1|1)$

Published on
#linear-algebra #lie-groups #graded-rings #superalgebra
198
Views

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

Published on
#lie-groups
277
Views

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

Published on
#differential-geometry #lie-groups #lie-algebras
203
Views

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

Published on
#representation-theory #lie-groups
182
Views

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

Published on
#linear-algebra #representation-theory #lie-groups #lie-algebras #homological-algebra
81
Views

Geometric Reference(s) for finite groups of Lie type

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

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