Geodesic
Factorizing particles on a half-line and root systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 35-44

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Factorization conditions are obtained and an example is given of a theory of equal-mass relativistic particles on a half-line with reflection corresponding to the $B_n$, $C_n$, $D_n$ root systems. Generalized factorization equations are introduced, and the analog of Yang's $S$ matrix is considered for an arbitrary root system. For the system $B_n$ an example of an $S$ matrix with elliptic dependence on the rapidities is constructed; it generalizes Belavin's $S$ matrix. 
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     author = {I. V. Cherednik},
     title = {Factorizing particles on a half-line and root systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {35--44},
     publisher = {mathdoc},
     volume = {61},
     number = {1},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a3/}
}
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I. V. Cherednik. Factorizing particles on a half-line and root systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 61 (1984) no. 1, pp. 35-44. http://geodesic.mathdoc.fr/item/TMF_1984_61_1_a3/