Geodesic
Quantum Racah Coefficients and Subrepresentation Semirings
Journal of Lie theory, Tome 15 (2005) no. 1, pp. 321-333

Voir la notice de l'article provenant de la source Heldermann Verlag

Let G be a group and A a G-algebra. The subrepresentation semiring of A is the set of subrepresentations of A endowed with operations induced by the algebra operations. The introduction of these semirings was motivated by a problem in material science. Typically, physical properties of composite materials are strongly dependent on microstructure. However, in exceptional situations, exact relations exist which are microstructure-independent. Grabovsky has constructed an abstract theory of exact relations, reducing the search for exact relations to a purely algebraic problem involving the product of SU(2)-subrepresentations in certain endomorphism algebras. We have shown that the structure of the associated semirings can be described explicitly in terms of Racah coefficients. 
@article{JLT_2005_15_1_JLT_2005_15_1_a21,
     author = {D. S. Sage },
     title = {Quantum {Racah} {Coefficients} and {Subrepresentation} {Semirings}},
     journal = {Journal of Lie theory},
     pages = {321--333},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2005},
     url = {http://geodesic.mathdoc.fr/item/JLT_2005_15_1_JLT_2005_15_1_a21/}
}
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D. S. Sage . Quantum Racah Coefficients and Subrepresentation Semirings. Journal of Lie theory, Tome 15 (2005) no. 1, pp. 321-333. http://geodesic.mathdoc.fr/item/JLT_2005_15_1_JLT_2005_15_1_a21/