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Article overview
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Bethe Algebra of Homogeneous XXX Heisenberg Model Has Simple Spectrum | E.Mukhin
; V.Tarasov
; A.Varchenko
; | Date: |
5 Jun 2007 | Abstract: | We show that the algebra of commuting Hamiltonians of the homogeneous XXX
Heisenberg model has simple spectrum on the subspace of singular vectors of the
tensor product of two-dimensional $gl_2$-modules. As a byproduct we show that
there exist exactly $inom {n}{l}-inom{n}{l-1}$ two-dimensional vector
subspaces $V subset C[u]$ with a basis $f,gin V$ such that $deg f = l, deg
g = n-l+1$ and $f(u)g(u-1) - f(u-1)g(u) = (u+1)^n$. | Source: | arXiv, arxiv.0706.0688 | Services: | Forum | Review | PDF | Favorites |
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