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Abstract: The spectral decomposition of the path space of the vertex model associated to the vector representation of the quantized affine algebra U q ( b sl n ) is studied. (Update)
Context of citations to this paper: More
.... Hall Littlewood polynomials to affine Lie algebra characters was observed (and proved in special cases) in [Ki1,NY1,KMOTU, 24 PETER BOUWKNEGT AND NICK HALMAGYI KKN,HKKOTY,BS4] for sl n and in [BS4] for so n . It turns out that these characters can often be obtained from M (q...
...by the skew Young diagrams of the border strip type. This result verifies a recent conjecture due to Kirillov, Kuniba and Nakanishi [10]. 1. Introduction It is well known that quantum groups often appear as non abelian symmetries of one dimensional exactly solvable models...
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BibTeX entry: (Update)
A. Kirillov, A. Kuniba and T. Nakanishi, Skew Young diagram method in spectral decomposition of integrable lattice models II: Higher levels, Nucl. Phys. B529 (1998), 611--638, http://citeseer.ist.psu.edu/article/kirillov98skew.html More
@misc{ kirillov98skew,
author = "A. Kirillov and A. Kuniba and T. Nakanishi",
title = "Skew Young diagram method in spectral decomposition of integrable lattice
models II: Higher levels",
text = "A. Kirillov, A. Kuniba and T. Nakanishi, Skew Young diagram method in spectral
decomposition of integrable lattice models II: Higher levels, Nucl. Phys.
B529 (1998), 611--638,",
year = "1998",
url = "citeseer.ist.psu.edu/article/kirillov98skew.html" }
Citations (may not include all citations):492 Symmetric Functions and Hall Polynomials (context) - Macdonald - 1995
160 Exactly solved models in statistical mechanics (context) - Baxter - 1982
141 Infinite dimensional Lie algebras (context) - Kac - 1990
141 Infinite-dimensional Lie algebras (context) - Kac, Peterson - 1984
114 The theory of partitions (context) - Andrews - 1976
17 A new realization of Yangians and quantized affine algebras (context) - Drinfel'd - 1988
11 Affine crystals and vertex models (context) - Kang, Kashiwara et al. - 1992
11 Spinons in conformal field theory (context) - Bernard, Pasquier et al. - 1994
10 Representations of Yangians with Gelfand-Zetlin bases (context) - Nazarov, Tarasov - 1994
8 A new interpretation of Gelfand-Zetlin bases (context) - Cherednik - 1987
6 Yang-Baxter equation in long-range interacting systems (context) - Bernard, Gaudin et al. - 1993
5 Yangian symmetry of integrable quantum chains with long-rang.. (context) - Haldane, Ha et al. - 2021
4 Yangian symmetry in conformal field theory (context) - Schoutens - 1994
4 Lectures in Mathematical Sciences (context) - Kirillov - 1995
4 Spectral decomposition of path space in solvable lattice mod.. (context) - Arakawa, Nakanishi et al.
3 Maya diagrams and representation of sl (context) - Date, Jimbo et al. - 1989
2 Quantum Jacobi-Trudi and Giambelli formulae for U q (context) - Kuniba, Ohta et al. - 1995
1 spin chain with inverse-square exchange (context) - Polychronakos, of - 1994
1 Exact solution solid solid model twisted affine Lie algebra.. (context) - solution, on et al. - 1991
1 Yangian symmetry and Virasoro character in a lattice spin sy.. (context) - Hikami - 1995
1 Squeezed strings and Yangian symmetry of the Heisenberg chai.. (context) - Ha, Haldane - 1993
1 Talk given at Yukawa Institute of Theoretical Physics (context) - Bernard - 1994
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