Matrix Factorization for an SO(2) Spinning Top and Related Problems

Details Matrix Factorization for an SO(2) Spinning Top and Related Problems Matrix Factorization for an SO(2) Spinning Top and Related Problems

2000-01-03

arxiv.org/abs/math-ph/0001003v1

Physics

Mathematical Physics

11 pages, Latex

Scientific paper

We study the matrix factorization problem associated with an SO(2) spinning
top by using the algebro-geometric approach. We derive the explicit expressions
in terms of Riemann theta functions and discus some related problems including
a non-compact extension and the case when the Lax matrix contains higher-order
powers of the spectral parameter.

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