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Volumn 64, Issue 1, 2003, Pages 57-64

Quantum lax operators and discrete 2+1-dimensional integrable models

Author keywords

quantum Lax operator; quantum R matrix; three dimension integrable models

Indexed keywords


EID: 8744247033     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024919121214     Document Type: Article
Times cited : (6)

References (12)
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    • Kashaev, R.M.1    Reshetikhin, N.2
  • 2
    • 0033618195 scopus 로고    scopus 로고
    • Quantum 2+1 evolution model
    • Sergeev, S. M.: Quantum 2+1 evolution model, J. Phys. A: Math. Gen. 32 (1999), 5639-5714; Integrable three dimensional models in wholly discrete space-time, In: Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory, NATO Sci. Ser. II: Math. Phys. Chem. 35, Kluwer Acad. Publ., Dordrecht, 2001. Complex of three dimensional integrable models, J. Phys. A: Math. Gen. 34 (2001), 10493-10503.
    • (1999) J. Phys. A: Math. Gen. , vol.32 , pp. 5639-5714
    • Sergeev, S.M.1
  • 3
    • 0033618195 scopus 로고    scopus 로고
    • Integrable three dimensional models in wholly discrete space-time
    • Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory, Kluwer Acad. Publ., Dordrecht
    • Sergeev, S. M.: Quantum 2+1 evolution model, J. Phys. A: Math. Gen. 32 (1999), 5639-5714; Integrable three dimensional models in wholly discrete space-time, In: Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory, NATO Sci. Ser. II: Math. Phys. Chem. 35, Kluwer Acad. Publ., Dordrecht, 2001. Complex of three dimensional integrable models, J. Phys. A: Math. Gen. 34 (2001), 10493-10503.
    • (2001) NATO Sci. Ser. II: Math. Phys. Chem. 35
  • 4
    • 0035824421 scopus 로고    scopus 로고
    • Complex of three dimensional integrable models
    • Sergeev, S. M.: Quantum 2+1 evolution model, J. Phys. A: Math. Gen. 32 (1999), 5639-5714; Integrable three dimensional models in wholly discrete space-time, In: Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory, NATO Sci. Ser. II: Math. Phys. Chem. 35, Kluwer Acad. Publ., Dordrecht, 2001. Complex of three dimensional integrable models, J. Phys. A: Math. Gen. 34 (2001), 10493-10503.
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 10493-10503
  • 5
    • 0000833744 scopus 로고
    • Quantization of Lie groups and Lie algebras
    • Faddeev, L. D. Reshetikhin, N. Yu. and Takhtajan, L. A.: Quantization of Lie groups and Lie algebras, Algebra i Analiz 1(1) (1989) 178; English transl: Leningrad Math. J. 1 (1990), 193.
    • (1989) Algebra I Analiz , vol.1 , Issue.1 , pp. 178
    • Faddeev, L.D.1    Reshetikhin, N.Yu.2    Takhtajan, L.A.3
  • 6
    • 0000057580 scopus 로고
    • English transl
    • Faddeev, L. D. Reshetikhin, N. Yu. and Takhtajan, L. A.: Quantization of Lie groups and Lie algebras, Algebra i Analiz 1(1) (1989) 178; English transl: Leningrad Math. J. 1 (1990), 193.
    • (1990) Leningrad Math. J. , vol.1 , pp. 193
  • 8
    • 0000834927 scopus 로고
    • Multiparameter quantum groups and twisted quasitriangular Hopf algebras
    • Reshetikhin, N. Yu.: Multiparameter quantum groups and twisted quasitriangular Hopf algebras, Lett. Math. Phys. 20 (1990), 331-335.
    • (1990) Lett. Math. Phys. , vol.20 , pp. 331-335
    • Reshetikhin, N.Yu.1
  • 9
    • 0033525264 scopus 로고    scopus 로고
    • On quantum matrix algebras satisfying the Cayley-Hamilton-Newton Identities
    • Isaev, A. P. Ogievetsky, O. V. and Pyatov, P. N.: On quantum matrix algebras satisfying the Cayley-Hamilton-Newton Identities, J. Phys. A: Math. Gen. 32 (1999), L115-L121.
    • (1999) J. Phys. A: Math. Gen. , vol.32
    • Isaev, A.P.1    Ogievetsky, O.V.2    Pyatov, P.N.3
  • 10
    • 0142086482 scopus 로고
    • Quantum groups and Yang-Baxter equations
    • Isaev, A. P.: Quantum groups and Yang-Baxter equations, Soviet J. Particles Nuclei, 26 (1995), 501-526.
    • (1995) Soviet J. Particles Nuclei , vol.26 , pp. 501-526
    • Isaev, A.P.1
  • 11
    • 0034348050 scopus 로고    scopus 로고
    • Auxiliary transfer matrices for three dimensional integrable models
    • Sergeev, S.: Auxiliary transfer matrices for three dimensional integrable models, Teoret. Mat. Fiz. 124(3) (2000), 1187-1201.
    • (2000) Teoret. Mat. Fiz. , vol.124 , Issue.3 , pp. 1187-1201
    • Sergeev, S.1
  • 12
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    • New solvable lattice models in three dimensions
    • Bazhanov, V. V. and Baxter, R. J.: New solvable lattice models in three dimensions, J. Statist. Phys. 69(3/4) (1992), 453-485.
    • (1992) J. Statist. Phys. , vol.69 , Issue.3-4 , pp. 453-485
    • Bazhanov, V.V.1    Baxter, R.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.