Geodesic
Fan, splint, and branching rules
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 22, Tome 398 (2012), pp. 162-178

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Splint of root system for simple Lie algebra appears naturally in studies of (regular) embeddings of reductive subalgebras. Splint can be used to construct branching rules. We demonstrate that splint properties implementation drastically simplify calculations of branching coefficients. 
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     author = {V. D. Lyakhovsky and A. A. Nazarov},
     title = {Fan, splint, and branching rules},
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     year = {2012},
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V. D. Lyakhovsky; A. A. Nazarov. Fan, splint, and branching rules. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 22, Tome 398 (2012), pp. 162-178. http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a8/