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seen Oct 10 '13 at 12:09

Jul
2
awarded  Curious
Oct
10
comment Reference for the polar parameterization of quaternions
@Trimok: Perfect, thank you!
Oct
10
accepted Reference for the polar parameterization of quaternions
Oct
9
asked Reference for the polar parameterization of quaternions
Jul
4
awarded  Nice Question
Jul
2
comment How to evaluate this sum of coupling coefficients?
Specifically: $$n \in \left[0,\infty\right)$$ $$l,l_1,l_2,\lambda_1,\lambda_2 \in \left[0,n\right]$$ $$m \in \left[-l,l\right]$$ $$m_1 \in \left[-l_1,l_1\right]$$ $$m_2 \in \left[-l_2,l_2\right]$$ $$\mu_1 \in \left[-\lambda_1,\lambda_1\right]$$ $$\mu_2 \in \left[-\lambda_2,\lambda_2\right]$$ ($n$ is an even integer, all other indices are integers)
Jul
1
awarded  Promoter
Jun
26
comment How to evaluate this sum of coupling coefficients?
@Vibert: $n \geq 0$ is an even integer, $0 \leq l \leq n$ is an integer, all other indices take integer values and their limits follow from the definition of the CG coefficients and 6j symbols. Sorry about not stating that before.
Jun
25
asked How to evaluate this sum of coupling coefficients?
Feb
13
awarded  Tumbleweed
Dec
13
awarded  Popular Question
May
18
awarded  Yearling
Mar
14
comment General procedure for Clebsch-Gordan expansions
Thank you,I need to find the analogous equation that you gave for the spherical harmonics above, for harmonic functions on $S^3$; do you know of a book/paper where I can find the derivation you mentioned?
Mar
14
accepted General procedure for Clebsch-Gordan expansions
Mar
14
asked General procedure for Clebsch-Gordan expansions
Jan
24
comment Coupling Coefficients in SO(4)
I have noticed one thing that might help, the author of eq. 1 states that "The canonical basis states of the symmetric (class-one) irreducible representation $l=l_{(n)}$ for the chain $SO(n)\supset SO(n-1)\supset...\supset SO(3)\supset SO(2)$ are labelled by the $(n-2)$-tuple $M=(l_{(n-1)},N)=(l_{(n-1)},...,l_{(3)},m_{(2)})$ of integers $l_{(n)}\geq l_{(n-1)}\geq ...\geq l_{(3)}\geq |m_{(2)}|$". Also in his notation here I believe "SO(n) irreducible representation $l_{(n)}=l$ [has] SO(n-1) irrep labels $l_{(n-1)}=l'$".
Jan
24
asked Coupling Coefficients in SO(4)
Jan
21
awarded  Commentator
Jan
21
comment What is an isoscalar factor?
Its in eqs. 4.6-4.7 from "Coupling coefficients of SO(n)and integrals involving Jacobi and Gegenbauer polynomials" by Sigitas Alisauskas, you can find it at iopscience.iop.org/0305-4470/35/34/307
Jan
21
asked What is an isoscalar factor?