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Discrete subgroups of SU(n) and SO(n).

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#abstract-algebra #group-theory #finite-groups #lie-groups #lie-algebras
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Truncated exponential map from $\mathfrak{gl}_n$ to $GL_n$

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#lie-groups #lie-algebras
614
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Irreducible representation of tensor product

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#group-theory #lie-groups
109
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A technical problem on constructing smooth vectors in a representation

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#representation-theory #lie-groups
169
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Dihedral and quaternion groups as subgroups of SO(n), SU(n), Spin(n), SO(n)$\times$SO(n), SU(n)$\times$SU(n)

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#abstract-algebra #group-theory #finite-groups #lie-groups #lie-algebras
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Invariant subspaces of tensor product of SU(2)

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#group-theory #lie-groups
1k
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Why is the dimension of $SL(2,\mathbb{H})$ equal to $15$?

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#reference-request #lie-groups #quaternions
832
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Lie algebra of Euclidean group

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#lie-groups #lie-algebras
1.2k
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Are there nonlinear operators that have the group property?

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#vector-spaces #operator-theory #lie-groups
275
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How to show $SL_{n}(\mathbb{R})=\bigsqcup_{w\in W}LwU$ where L (or U) are lower(or upper) triangular matrix?

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#linear-algebra #lie-groups
92
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Weights set spans

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#representation-theory #lie-groups #lie-algebras
1.2k
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p-adic Lie groups vs. algebraic groups over $\mathbb{Q}_p$

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#lie-groups #p-adic-number-theory #algebraic-groups
1.8k
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Prove that the universal covering space of a Lie group is unique

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#lie-groups
1.1k
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path-connected subgroup of Lie group is Lie group

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#lie-groups #lie-algebras
2.1k
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Definition of Lie Algebra

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#lie-groups #lie-algebras

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