✦ LIBER ✦

Invariants of linear combinations of transpositions

✍ Scribed by V. I. Inozemtsev

Publisher: Springer
Year: 1996
Tongue: English
Weight: 317 KB
Volume: 36
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00403251

No coin nor oath required. For personal study only.

✦ Synopsis

It is shown that for a one-parameter set ~r N of linear combinations of N(N-1)/2 elementary transpositions {Pjk} (l~3, one can construct a variety {I,,} (3 ~< m ~< N) of operators which commute with ~N-Being apphed to SU(n) spin representations of the permutation group, this proves the integrability of 1D periodic spin chains with elliptic short-range interaction.

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