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- W2949969378 abstract "In this report, we present a systematic account of mathematical structures of certain special polynomials arisen from the energy study of the superintegrable $N$-state chiral Potts model with a finite number of sizes. The polynomials of low-lying sectors are represented in two different forms, one of which is directly related to the energy description of superintegrable chiral Potts $ZZ_N$-spin chain via the representation theory of Onsager's algebra. Both two types of polynomials satisfy some $(N+1)$-term recurrence relations, and $N$th order differential equations; polynomials of one kind reveal certain Chebyshev-like properties. Here we provide a rigorous mathematical argument for cases $N=2, 3$, and further raise some mathematical conjectures on those special polynomials for a general $N$." @default.
- W2949969378 created "2019-06-27" @default.
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- W2949969378 date "2005-01-17" @default.
- W2949969378 modified "2023-09-27" @default.
- W2949969378 title "Structure of Certain Chebyshev-type Polynomials in Onsager's Algebra Representation" @default.
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