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Volumn 39, Issue 9, 2006, Pages 2083-2115

Paths, tableaux and q-characters of quantum affine algebras: The C n case

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EID: 32944455292     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/39/9/007     Document Type: Article
Times cited : (19)

References (30)
  • 1
    • 22044441691 scopus 로고    scopus 로고
    • Finite-dimensional representations of quantum affine algebras
    • Akasaka T and Kashiwara M 1997 Finite-dimensional representations of quantum affine algebras Publ. Res. Inst. Math. Sci. 33 839-67
    • (1997) Publ. Res. Inst. Math. Sci. , vol.33 , pp. 839-867
    • Akasaka, T.1    Kashiwara, M.2
  • 2
    • 32944454951 scopus 로고    scopus 로고
    • Arakawa T 2005 Private communication
    • (2005)
    • Arakawa, T.1
  • 3
    • 0033240870 scopus 로고    scopus 로고
    • Drinfeld functor and finite-dimensional representations of Yangian
    • Arakawa T 1999 Drinfeld functor and finite-dimensional representations of Yangian Commun. Math. Phys. 205 1-18
    • (1999) Commun. Math. Phys. , vol.205 , Issue.1 , pp. 1-18
    • Arakawa, T.1
  • 4
    • 0009088099 scopus 로고    scopus 로고
    • Duality between and the degenerate affine Hecke algebra
    • Arakawa T and Suzuki T 1998 Duality between and the degenerate affine Hecke algebra J. Algebra 209 288-304
    • (1998) J. Algebra , vol.209 , Issue.1 , pp. 288-304
    • Arakawa, T.1    Suzuki, T.2
  • 6
    • 0000897481 scopus 로고
    • Trigonometric solutions of triangle equations and classical Lie algebras
    • Bazhanov V V 1985 Trigonometric solutions of triangle equations and classical Lie algebras Phys. Lett. B 159 321-4
    • (1985) Phys. Lett. , vol.159 , Issue.4-6 , pp. 321-324
    • Bazhanov, V.V.1
  • 7
    • 0000798070 scopus 로고
    • Restricted solid-on-solid models connected with simply laced algebras and conformal field theory
    • Bazhanov V V and Reshetikhin N 1990 Restricted solid-on-solid models connected with simply laced algebras and conformal field theory J. Phys. A: Math. Gen. 23 1477-92
    • (1990) J. Phys. A: Math. Gen. , vol.23 , Issue.9 , pp. 1477-1492
    • Bazhanov, V.V.1    Reshetikhin, N.2
  • 8
    • 0001435397 scopus 로고    scopus 로고
    • On the fermionic formula and the Kirillov-Reshetikhin conjecture
    • Chari V 2001 On the fermionic formula and the Kirillov-Reshetikhin conjecture Int. Math. Res. Not. 629-54
    • (2001) Int. Math. Res. Not. , pp. 629-654
    • Chari, V.1
  • 9
    • 10044249675 scopus 로고    scopus 로고
    • Symmetric functions and representations of quantum affine algebras
    • Chari V and Kleber M 2002 Symmetric functions and representations of quantum affine algebras Contemp. Math. 297 27-45
    • (2002) Contemp. Math. , vol.297 , pp. 27-45
    • Chari, V.1    Kleber, M.2
  • 10
    • 0002978237 scopus 로고
    • Quantum affine algebras and their representations
    • Chari V and Pressley A 1995 Quantum affine algebras and their representations Can. Math. Soc. Conf. Proc. 16 59-78
    • (1995) Can. Math. Soc. Conf. Proc. , vol.16 , pp. 59-78
    • Chari, V.1    Pressley, A.2
  • 13
    • 0035530560 scopus 로고    scopus 로고
    • Combinatorics of q-characters of finite-dimensional representations of quantum affine algebras
    • Frenkel E and Mukhin E 2001 Combinatorics of q-characters of finite-dimensional representations of quantum affine algebras Commun. Math. Phys. 216 23-57
    • (2001) Commun. Math. Phys. , vol.216 , Issue.1 , pp. 23-57
    • Frenkel, E.1    Mukhin, E.2
  • 14
    • 0001465936 scopus 로고    scopus 로고
    • Quantum affine algebras and deformations of the Virasoro and -algebras
    • Frenkel E and Reshetikhin N 1996 Quantum affine algebras and deformations of the Virasoro and -algebras Commun. Math. Phys. 178 237-64
    • (1996) Commun. Math. Phys. , vol.178 , Issue.1 , pp. 237-264
    • Frenkel, E.1    Reshetikhin, N.2
  • 15
    • 0000268226 scopus 로고    scopus 로고
    • The q-characters of representations of quantum affine algebras and deformations of -algebras
    • Frenkel E and Reshetikhin N 1999 The q-characters of representations of quantum affine algebras and deformations of -algebras Contemp. Math. 248 163-205
    • (1999) Contemp. Math. , vol.248 , pp. 163-205
    • Frenkel, E.1    Reshetikhin, N.2
  • 16
    • 0000868570 scopus 로고
    • Binomial determinants, paths, and hook length formulae
    • Gessel I and Viennot G 1985 Binomial determinants, paths, and hook length formulae Adv. Math. 58 300-21
    • (1985) Adv. Math. , vol.58 , Issue.3 , pp. 300-321
    • Gessel, I.1    Viennot, G.2
  • 17
    • 0040323775 scopus 로고
    • A q-difference analogue of and the Yang-Baxter equation
    • Jimbo M 1985 A q-difference analogue of and the Yang-Baxter equation Lett. Math. Phys. 10 63-9
    • (1985) Lett. Math. Phys. , vol.10 , Issue.1 , pp. 63-69
    • Jimbo, M.1
  • 18
    • 0038863258 scopus 로고
    • Quantum R matrix for the generalized Toda system
    • Jimbo M 1986 Quantum R matrix for the generalized Toda system Commun. Math. Phys. 102 537-47
    • (1986) Commun. Math. Phys. , vol.102 , Issue.4 , pp. 537-547
    • Jimbo, M.1
  • 20
    • 21844515348 scopus 로고
    • Quantum Jacobi-Trudi and Giambelli formulae for from the analytic Bethe ansatz
    • Kuniba A, Ohta Y and Suzuki J 1995 Quantum Jacobi-Trudi and Giambelli formulae for from the analytic Bethe ansatz J. Phys. A: Math. Gen. 28 6211-26
    • (1995) J. Phys. A: Math. Gen. , vol.28 , Issue.21 , pp. 6211-6226
    • Kuniba, A.1    Ohta, Y.2    Suzuki, J.3
  • 22
    • 21844493146 scopus 로고
    • Analytic Bethe ansatz for fundamental representations of Yangians
    • Kuniba A and Suzuki J 1995 Analytic Bethe ansatz for fundamental representations of Yangians Commun. Math. Phys. 173 225-64
    • (1995) Commun. Math. Phys. , vol.173 , Issue.2 , pp. 225-264
    • Kuniba, A.1    Suzuki, J.2
  • 23
    • 0000144548 scopus 로고
    • Young-diagrammatic methods for the representation theory of the classical groups of type
    • Koike K and Terada I 1987 Young-diagrammatic methods for the representation theory of the classical groups of type J. Algebra 107 466-511
    • (1987) J. Algebra , vol.107 , Issue.2 , pp. 466-511
    • Koike, K.1    Terada, I.2
  • 27
    • 0009466381 scopus 로고
    • Integrable models of quantum one-dimensional magnets with O(n)- and Sp(2k)-symmetries
    • Reshetikhin N Y 1985 Integrable models of quantum one-dimensional magnets with O(n)- and Sp(2k)-symmetries Theor. Math. Phys. 63 555-69
    • (1985) Theor. Math. Phys. , vol.63 , Issue.3 , pp. 555-569
    • Reshetikhin, N.Y.1
  • 28
    • 14844289754 scopus 로고    scopus 로고
    • The symmetric group: Representations, combinatorial algorithms, and symmetric functions
    • Sagan B E 2001 The symmetric group: representations, combinatorial algorithms, and symmetric functions Graduate Texts in Mathematics vol 203 2nd edn (New York: Springer)
    • (2001) Graduate Texts in Mathematics , vol.203
    • Sagan, B.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.