메뉴 건너뛰기




Volumn 59, Issue 1, 2002, Pages 19-31

The Bethe equation at q = 0, the Möbius inversion formula, and weight multiplicities: III. The X(r)N case

Author keywords

Bethe ansatz; Completeness; Kirillov Reshetikhin module; M bius inversion formula; Q system; Quantum affine algebra; String hypothesis; Weight multiplicity

Indexed keywords


EID: 0013248017     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014408629411     Document Type: Article
Times cited : (5)

References (17)
  • 2
    • 33846900525 scopus 로고
    • Zur theorie der metalle, I. Eigenwerte und eigenfunktionen der linearen atomkette
    • Bethe, H. A.: Zur Theorie der Metalle, I. Eigenwerte und Eigenfunktionen der linearen Atomkette, Z. Physik 71 (1931), 205-231.
    • (1931) Z. Physik , vol.71 , pp. 205-231
    • Bethe, H.A.1
  • 3
    • 0001435397 scopus 로고    scopus 로고
    • On the fermionic formula and the Kirillov-Reshetikhin conjecture
    • Chari, V.: On the fermionic formula and the Kirillov-Reshetikhin conjecture, Internat. Math. Res. Notices 12 (2001), 629-654.
    • (2001) Internat. Math. Res. Notices , vol.12 , pp. 629-654
    • Chari, V.1
  • 4
    • 0002978237 scopus 로고
    • Quantum affine algebras and their representations
    • Chari, V. and Pressley, A.: Quantum affine algebras and their representations, Canad. Math. Soc. Conf. Proc. 16 (1995), 59-78.
    • (1995) Canad. Math. Soc. Conf. Proc. , vol.16 , pp. 59-78
    • Chari, V.1    Pressley, A.2
  • 5
    • 0032329622 scopus 로고    scopus 로고
    • Twisted quantum affine algebras
    • Chari, V. and Pressley, A.: Twisted Quantum affine algebras, Comm. Math. Phys. 196 (1998), 461-476.
    • (1998) Comm. Math. Phys. , vol.196 , pp. 461-476
    • Chari, V.1    Pressley, A.2
  • 9
    • 34250113563 scopus 로고
    • Combinatorial identities and completeness of states for the Heisenberg magnet
    • Kirillov, A. N.: Combinatorial identities and completeness of states for the Heisenberg magnet, J. Soviet Math. 30 (1985), 2298-3310.
    • (1985) J. Soviet Math. , vol.30 , pp. 2298-3310
    • Kirillov, A.N.1
  • 10
    • 0001086734 scopus 로고
    • Completeness of states of the generalized Heisenberg magnet
    • Kirillov, A. N.: Completeness of states of the generalized Heisenberg magnet, J. Soviet Math. 36 (1987), 115-128.
    • (1987) J. Soviet Math. , vol.36 , pp. 115-128
    • Kirillov, A.N.1
  • 11
    • 0001438677 scopus 로고
    • Identities for the Rogers dilogarithm function connected with simple Lie algebras
    • Kirillov, A. N.: Identities for the Rogers dilogarithm function connected with simple Lie algebras, J. Soviet Math. 47 (1989), 2450-2459.
    • (1989) J. Soviet Math. , vol.47 , pp. 2450-2459
    • Kirillov, A.N.1
  • 12
    • 34249954468 scopus 로고
    • Representations of Yangians and multiplicity of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras
    • Kirillov, A. N. and Reshetikhin, N. Yu.: Representations of Yangians and multiplicity of occurrence of the irreducible components of the tensor product of representations of simple Lie algebras, J. Soviet Math. 52 (1990), 3156-3164.
    • (1990) J. Soviet Math. , vol.52 , pp. 3156-3164
    • Kirillov, A.N.1    Reshetikhin, N.Yu.2
  • 13
    • 0000745521 scopus 로고    scopus 로고
    • The Bethe equation at q = 0, the Möbius inversion formula, and weight multiplicities: I. The s-fraktur sign and l-fraktur sign(2) case
    • Kuniba, A. and Nakanishi, T.: The Bethe equation at q = 0, the Möbius inversion formula, and weight multiplicities: I. The s-fraktur sign and l-fraktur sign(2) case, Progr. in Math. 191 (2000), 185-216.
    • (2000) Progr. in Math. , vol.191 , pp. 185-216
    • Kuniba, A.1    Nakanishi, T.2
  • 15
    • 0036014161 scopus 로고    scopus 로고
    • The canonical solutions of the Q-systems and the Kirillov-Reshetikhin conjecture
    • math.QA/0105145, to appear in
    • Kuniba, A., Nakanishi, T. and Tsuboi, Z.: The canonical solutions of the Q-systems and the Kirillov-Reshetikhin conjecture, math.QA/0105145, to appear in Comm. Math. Phys.
    • Comm. Math. Phys.
    • Kuniba, A.1    Nakanishi, T.2    Tsuboi, Z.3
  • 16
    • 0000784345 scopus 로고
    • Factorized S-matrix and the Bethe ansatz for simple Lie groups
    • Ogievetsky, E. and Wiegmann, P.: Factorized S-matrix and the Bethe ansatz for simple Lie groups, Phys. Lett. B 168 (1986), 360-366.
    • (1986) Phys. Lett. B , vol.168 , pp. 360-366
    • Ogievetsky, E.1    Wiegmann, P.2
  • 17
    • 45949128912 scopus 로고
    • Towards the classification of completely integrable quantum field theories (the Bethe ansatz associated with Dynkin diagrams and their automorphisms)
    • Reshetikhin, N. Yu. and Wiegmann, P.: Towards the classification of completely integrable quantum field theories (the Bethe ansatz associated with Dynkin diagrams and their automorphisms), Phys. Lett. B 189 (1987), 125-131.
    • (1987) Phys. Lett. B , vol.189 , pp. 125-131
    • Reshetikhin, N.Yu.1    Wiegmann, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.