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Inducing highest weight modules

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#representation-theory #lie-algebras
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simple Lie groups

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#lie-groups #lie-algebras
63
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Space of tangents of a matrix group G?

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#matrices #lie-groups #lie-algebras
472
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Uniqueness of the Lie brackets in the quotient space of a Lie algebra

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#linear-algebra #lie-algebras
206
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Basis of Witt algebra

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#linear-algebra #lie-algebras
173
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Product of Unit Quaternions Converging As a Series

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#functional-analysis #summation #lie-groups #lie-algebras #quaternions
511
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Finding a set of logarithms for a matrix in SO(n)

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#logarithms #lie-groups #lie-algebras #orthogonal-matrices #matrix-exponential
647
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Relationship of $\mathfrak{so}(1,3)$ to $\mathfrak{su}(2)\oplus\mathfrak{su}(2)$

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#group-theory #lie-groups #lie-algebras
50
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Generators of roots that don't sum to zero are orthogonal.

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#lie-algebras
285
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Basis-independent description of adjoint representation of symplectic group

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#representation-theory #lie-groups #lie-algebras #algebraic-groups
337
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Question about Hilbert Series and SU(n) characters

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#group-theory #lie-algebras #characters #hilbert-polynomial
2.1k
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Meaning of vanishing Lie bracket

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#lie-algebras #lie-derivative
218
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Representation of $\text{sl}(2,\mathbb{C})$

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#abstract-algebra #representation-theory #lie-algebras
125
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Is $\Bbb C[x, y]$ an irreducible representation of $\mathfrak{sl}(2, \Bbb C)$?

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#abstract-algebra #representation-theory #lie-algebras
129
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Representation of $\mathfrak{gl}(n,R)$ on $R[X_1,\dots,X_n]$ over arbitrary ring

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#abstract-algebra #polynomials #lie-algebras

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