Abstract:
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 Bn, Cn, Dn 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 Bn an example of an S matrix with elliptic
dependence on the rapidities is constructed; it generalizes
Belavin's S matrix.
Citation:
I. V. Cherednik, “Factorizing particles on a half-line and root systems”, TMF, 61:1 (1984), 35–44; Theoret. and Math. Phys., 61:1 (1984), 977–983
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\by I.~V.~Cherednik
\paper Factorizing particles on a half-line and root systems
\jour TMF
\yr 1984
\vol 61
\issue 1
\pages 35--44
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\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 61
\issue 1
\pages 977--983
\crossref{https://doi.org/10.1007/BF01038545}
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Linking options:
https://www.mathnet.ru/eng/tmf5654
https://www.mathnet.ru/eng/tmf/v61/i1/p35
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