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15
83
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Supergroup for SO groups vs Spin group

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#lie-groups #mathematical-physics #spin-geometry #superalgebra #supergeometry
906
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Sample a random rotation in $n$ dimensions

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#probability-distributions #algorithms #linear-transformations #lie-groups #rotations
166
Views

A question while pvoing existence bi-invariant Volume element on a compact and connected Lie group

Published on
#differential-geometry #lie-groups #riemannian-geometry
272
Views

CW structure on $SO(n)$

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#algebraic-topology #lie-groups #topological-groups #cw-complexes
100
Views

Pairing higher forms of a Lie group with the universal enveloping algebra

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#differential-geometry #algebraic-geometry #lie-groups #lie-algebras #differential-graded-algebras
134
Views

Naïve question about the general form of elements of $SU(2)$ and a homomorphism from $S^3$ to $SU(2)$ .

Published on
#group-theory #lie-groups #quaternions
62
Views

The connection between the center of the lie algebra to the centrer of the lie group

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#differential-geometry #lie-groups #lie-algebras
92
Views

What is the group generated by the exponential of multivectors?

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#matrices #group-theory #lie-groups #lie-algebras #clifford-algebras
39
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Product of a closed subgroup and a lattice in a Lie group

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#general-topology #lie-groups #topological-groups
71
Views

Group multiplications in $Spin(d)$ via $(a,q) \in (\mathbb{Z}/2, SO(d))$

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#algebraic-topology #lie-groups #homology-cohomology #group-cohomology #group-extensions
42
Views

$O(d,1)$ isomorphisms to $Sp(n;\mathbb{F})$ for some fields $\mathbb{F}$ and $n$

Published on
#group-theory #lie-groups #lie-algebras #symplectic-geometry #symplectic-linear-algebra
119
Views

Explicit automorphism map of $SO(n;\mathbb{R})$ for $n \neq 2,8$?

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#group-theory #algebraic-topology #lie-groups #automorphism-group #group-extensions
484
Views

A question about Hausdorff quotient by Group Action. Also, there are some very related material in Lee's book.

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#algebraic-topology #differential-topology #lie-groups #group-actions #topological-groups
104
Views

How to Interpret $SU(n)$ Geometrically?

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#lie-groups #rotations
178
Views

A question about adjoint representation of a compact and connected Lie group.

Published on
#differential-geometry #lie-groups #riemannian-geometry

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