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- Rosengren, Hjalmar, 1972-
(författare)
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An Izergin-Korepin-type identity for the 8VSOS model, with applications to alternating sign matrices
- 2009
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Ingår i: Advances in Applied Mathematics. - 0196-8858. ; 43:2, s. 137-155
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Tidskriftsartikel (refereegranskat)abstract
- We obtain a new expression for the partition function of the 8VSOS model with domain wall boundary conditions, which we consider to be the natural extension of the Izergin-Korepin formula for the six-vertex model. As applications, we find dynamical (in the sense of the dynamical Yang-Baxter equation) generalizations of the enumeration and 2-enumeration of alternating sign matrices. The dynamical enumeration has a nice interpretation in terms of three-colourings of the square lattice.
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- Rosengren, Hjalmar, 1972-, et al.
(författare)
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Continuous Hahn functions as Clebsch-Gordan coefficients
- 2005
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Ingår i: M. E. H. Ismail and E. Koelink (eds.), Theory and Applications of Special Functions - A Volume Dedicated to Mizan Rahman. ; s. 221-284
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Konferensbidrag (refereegranskat)
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- Rosengren, Hjalmar, 1972-
(författare)
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Felder's Elliptic Quantum Group and Elliptic Hypergeometric Series on the Root System A(n)
- 2011
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Ingår i: International Mathematics Research Notices. - 1073-7928. ; :13, s. 2861-2920
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Tidskriftsartikel (refereegranskat)abstract
- We introduce a generalization of elliptic 6 j-symbols, which can be interpreted as matrix elements for intertwiners between corepresentations of Felder's elliptic quantum group. For special parameter values, they can be expressed in terms of multivariable elliptic hypergeometric series related to the root system A(n). As a consequence, we obtain new biorthogonality relations for such series.
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