The Example of Using the Schur-Weyl Duality in One-Dimensional Hubbard Model
D. Jakubczyka, P. Jakubczykb
aFaculty of Mathematics and Applied Physics, Rzeszów University of Technology, al. Powstańców Warszawy 12, 35-959 Rzeszów, Poland
bFaculty of Mathematics and Natural Sciences, University of Rzeszów, T. Rejtana 16A, 35-959 Rzeszów, Poland
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The one-dimensional Hubbard model is discussed assuming periodic boundary conditions and the half-filling case. The Schur-Weyl duality is applied to the chain consisting of six nodes with dual actions of the unitary and symmetric groups taken separately in the spin and pseudo-spin space.

DOI:10.12693/APhysPolA.135.1252
PACS numbers: 75.10.Pq, 03.65.Aa, 03.65.Fd