Question

What does half sum mean?

score 1.5k · Answer 1 · 2026-03-24 23:42:02

1.5k

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What does half sum mean?

Published on 24 Mar 2026 - 23:42

score 214 · Answer 2 · 2026-03-24 23:45:08

214

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Why is the Adjoint Representation of a Simple Algebraic Group visible?

Published on 24 Mar 2026 - 23:45

score 313 · Answer 3 · 2026-03-21 22:39:49

313

Views

Exponentiation of a vector

Published on 21 Mar 2026 - 22:39

score 436 · Answer 4 · 2026-03-22 20:54:22

436

Views

Does every representation of the harmonic oscillator Lie algebra necessarily admit a basis of eigenfunctions?

Published on 22 Mar 2026 - 20:54

score 125 · Answer 5 · 2026-03-25 01:24:07

125

Views

Prove that $\lVert X\rVert^2 =\sum_{i,j=1}^\infty\lvert\langle u_i,Xu_j\rangle\rvert^2$.

Published on 25 Mar 2026 - 1:24

score 148 · Answer 6 · 2026-03-25 03:42:17

148

Views

Finite-dimensional modules of the lie algebra $\frak{so}(n)$

Published on 25 Mar 2026 - 3:42

score 59 · Answer 7 · 2026-03-22 13:39:03

59

Views

Verma module $V(\lambda)$ of $U_q(\mathfrak{sl}_2)$ is not simple $\implies$ $\lambda = \pm q^n$

Published on 22 Mar 2026 - 13:39

score 102 · Answer 8 · 2026-03-22 09:05:21

102

Views

Structure of simple modules of $U_q(\mathfrak{sl}_2)$ at a root of unity.

Published on 22 Mar 2026 - 9:05

score 167 · Answer 9 · 2026-03-25 03:03:57

167

Views

Dual of representations of Lie algebras?

Published on 25 Mar 2026 - 3:03

score 62 · Answer 10 · 2026-03-22 18:24:51

62

Views

Determining Symmetries Using Canonical Coordinates

Published on 22 Mar 2026 - 18:24

score 159 · Answer 11 · 2026-03-22 21:14:20

159

Views

$sn: W\rightarrow \{1,-1\},sn(\sigma)=(-1)^{l(\sigma)}$ is a homomorphism

Published on 22 Mar 2026 - 21:14

score 58 · Answer 12 · 2026-03-23 02:01:02

58

Views

Equality of certain modules of coinvariants: $(gl(V)^{\otimes n})_{gl(V)}=(gl(V)^{\otimes n})_{GL(V)}=(gl(V)^{\otimes n})_{SL(V)}$

Published on 23 Mar 2026 - 2:01

score 45 · Answer 13 · 2026-03-22 23:29:02

45

Views

Isomorphism question if base $\Delta$ for a root system is equal to the set of positive roots.

Published on 22 Mar 2026 - 23:29

score 44 · Answer 14 · 2026-03-22 16:44:48

44

Views

Order of $z\in Z(W)\backslash \{\rm{id}\}$ for $W$ the Weyl group.

Published on 22 Mar 2026 - 16:44

score 81 · Answer 15 · 2026-03-22 09:02:09

81

Views

Help find the second derivative of a function

Published on 22 Mar 2026 - 9:02

List Question

What does half sum mean?

Why is the Adjoint Representation of a Simple Algebraic Group visible?

Exponentiation of a vector

Does every representation of the harmonic oscillator Lie algebra necessarily admit a basis of eigenfunctions?

Prove that $\lVert X\rVert^2 =\sum_{i,j=1}^\infty\lvert\langle u_i,Xu_j\rangle\rvert^2$.

Finite-dimensional modules of the lie algebra $\frak{so}(n)$

Verma module $V(\lambda)$ of $U_q(\mathfrak{sl}_2)$ is not simple $\implies$ $\lambda = \pm q^n$

Structure of simple modules of $U_q(\mathfrak{sl}_2)$ at a root of unity.

Dual of representations of Lie algebras?

Determining Symmetries Using Canonical Coordinates

$sn: W\rightarrow \{1,-1\},sn(\sigma)=(-1)^{l(\sigma)}$ is a homomorphism

Equality of certain modules of coinvariants: $(gl(V)^{\otimes n})_{gl(V)}=(gl(V)^{\otimes n})_{GL(V)}=(gl(V)^{\otimes n})_{SL(V)}$

Isomorphism question if base $\Delta$ for a root system is equal to the set of positive roots.

Order of $z\in Z(W)\backslash \{\rm{id}\}$ for $W$ the Weyl group.

Help find the second derivative of a function

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