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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

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. 
@article{ZNSL_2012_398_a8,
     author = {V. D. Lyakhovsky and A. A. Nazarov},
     title = {Fan, splint, and branching rules},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {162--178},
     year = {2012},
     volume = {398},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a8/}
}
TY  - JOUR
AU  - V. D. Lyakhovsky
AU  - A. A. Nazarov
TI  - Fan, splint, and branching rules
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2012
SP  - 162
EP  - 178
VL  - 398
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a8/
LA  - en
ID  - ZNSL_2012_398_a8
ER  - 
%0 Journal Article
%A V. D. Lyakhovsky
%A A. A. Nazarov
%T Fan, splint, and branching rules
%J Zapiski Nauchnykh Seminarov POMI
%D 2012
%P 162-178
%V 398
%U http://geodesic.mathdoc.fr/item/ZNSL_2012_398_a8/
%G en
%F ZNSL_2012_398_a8
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/

[1] D. A. Richter, Splints of classical root systems, Arxiv preprint, 2008, arXiv: 0807.0640 | MR

[2] V. Lyakhovsky, S. Y. Melnikov, “Recursion relations and branching rules for simple Lie algebras”, J. Phys. A: Math. General, 29:5 (1996), 1075–1088, arXiv: q-alg/9505006 | DOI | MR | Zbl

[3] V. Lyakhovsky, A. Nazarov, “Recursive algorithm and branching for nonmaximal embeddings”, J. Phys. A: Math. Theor., 44:7 (2011), 075205, arXiv: 1007.0318[math.RT] | DOI | MR | Zbl

[4] M. Ilyin, P. Kulish, V. Lyakhovsky, “On a property of branching coefficients for affine Lie algebras”, Algebra Analiz, 21:2 (2009), 52–70, arXiv: 0812.2124[math.RT] | MR | Zbl

[5] J. Humphreys, Introduction to Lie algebras and representation theory, Springer, 1997 | MR