Geodesic
Invariant subspaces and generalization of Nagaoka's theorem for the Hubbard model $(U=\infty)$
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 160-164 
A. V. Vedyaev; A. V. Volkov. Invariant subspaces and generalization of Nagaoka's theorem for the Hubbard model $(U=\infty)$. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 1, pp. 160-164. http://geodesic.mathdoc.fr/item/TMF_1993_94_1_a12/
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     author = {A. V. Vedyaev and A. V. Volkov},
     title = {Invariant subspaces and generalization of {Nagaoka's} theorem for the {Hubbard} model $(U=\infty)$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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The hubbard model $(U=\infty)$ on an arbitrary graph of sites in the presence of one hole in the system is considered. A sufficient condition for the absence of invariant subspaces of the space of states with fixed value of the $z$ projection of the total spin that differ in the sets of possible spin configurations is found. A generalization of Nagaoka's results for bilobate graphs is given.

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