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Volumn 37, Issue 2, 2004, Pages 537-547

Continual Lie algebras and noncommutative counterparts of exactly solvable models

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EID: 0742271183     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/2/020     Document Type: Conference Paper
Times cited : (13)

References (27)
  • 1
    • 0000700786 scopus 로고
    • Integro-differential non-linear equations and continual Lie algebras
    • Saveliev M V 1989 Integro-differential non-linear equations and continual Lie algebras Commun. Math. Phys. 121 283-90
    • (1989) Commun. Math. Phys. , vol.121 , pp. 283-290
    • Saveliev, M.V.1
  • 2
    • 34249967286 scopus 로고
    • Continuum analogues of contragredient Lie algebras
    • Saveliev M V and Vershik A M 1989 Continuum analogues of contragredient Lie algebras Commun. Math. Phys. 126 367
    • (1989) Commun. Math. Phys. , vol.126 , pp. 367
    • Saveliev, M.V.1    Vershik, A.M.2
  • 3
    • 3042755925 scopus 로고
    • New examples of continuum graded Lie algebras
    • Saveliev M V and Vershik A M 1990 New examples of continuum graded Lie algebras Phys. Lett. A 143 121
    • (1990) Phys. Lett. A , vol.143 , pp. 121
    • Saveliev, M.V.1    Vershik, A.M.2
  • 5
    • 0034342534 scopus 로고    scopus 로고
    • Graded Lie algebras whose Cartan subalgebra is the algebra of polynomials of one variable
    • Russian
    • Vershik A M and Shoikhet B B 2000 Graded Lie algebras whose Cartan subalgebra is the algebra of polynomials of one variable Tear. Mat. Fiz. 123 345-52 (Russian) Vershik A M and Shoikhet B B 2000 Tear. Math. Phys. 123 701-7 (English translation)
    • (2000) Tear. Mat. Fiz. , vol.123 , pp. 345-352
    • Vershik, A.M.1    Shoikhet, B.B.2
  • 6
    • 0034342534 scopus 로고    scopus 로고
    • English translation
    • Vershik A M and Shoikhet B B 2000 Graded Lie algebras whose Cartan subalgebra is the algebra of polynomials of one variable Tear. Mat. Fiz. 123 345-52 (Russian) Vershik A M and Shoikhet B B 2000 Tear. Math. Phys. 123 701-7 (English translation)
    • (2000) Tear. Math. Phys. , vol.123 , pp. 701-707
    • Vershik, A.M.1    Shoikhet, B.B.2
  • 7
    • 0011839345 scopus 로고
    • Trigonometric structure constants for new infinite-dimensional algebra
    • Fairlie D B, Feltcher P and Zachos C K 1989 Trigonometric structure constants for new infinite-dimensional algebra Phys. Lett. B 218 203-6
    • (1989) Phys. Lett. B , vol.218 , pp. 203-206
    • Fairlie, D.B.1    Feltcher, P.2    Zachos, C.K.3
  • 8
    • 33744776799 scopus 로고
    • Infinite-dimensional algebras, sine brackets and SU (∞)
    • Fairlie D B and Zachos C K 1989 Infinite-dimensional algebras, sine brackets and SU (∞) Phys. Lett. 224 101-7
    • (1989) Phys. Lett. , vol.224 , pp. 101-107
    • Fairlie, D.B.1    Zachos, C.K.2
  • 9
    • 0005797073 scopus 로고    scopus 로고
    • Space-Time noncommutative field theories and unitarity
    • Preprint hep-th/0005129
    • Gomis J and Mehen T 2000 Space-Time noncommutative field theories and unitarity Nucl. Phys. B 591 265-76 (Preprint hep-th/0005129)
    • (2000) Nucl. Phys. B , vol.591 , pp. 265-276
    • Gomis, J.1    Mehen, T.2
  • 10
    • 0003297790 scopus 로고
    • Group-theoretical methods for integration of non-linear dynamical systems
    • Basel: Birkhauser-Verlag
    • Leznov A N and Saveliev M V 1992 Group-theoretical methods for integration of non-linear dynamical systems Progress in Physics Series 15 (Basel: Birkhauser-Verlag)
    • (1992) Progress in Physics Series , vol.15
    • Leznov, A.N.1    Saveliev, M.V.2
  • 11
    • 0031283729 scopus 로고    scopus 로고
    • Multidimensional Toda type systems
    • Razumov A V and Saveliev M V 1997 Multidimensional Toda type systems Tear. Mat. Fiz. 112 254-82 Razumov A V and Saveliev M V 1997 Theor. Math. Phys. 112 999-1022 (Preprint hep-th/9609031)
    • (1997) Tear. Mat. Fiz. , vol.112 , pp. 254-282
    • Razumov, A.V.1    Saveliev, M.V.2
  • 12
    • 0031283729 scopus 로고    scopus 로고
    • Preprint hep-th/9609031
    • Razumov A V and Saveliev M V 1997 Multidimensional Toda type systems Tear. Mat. Fiz. 112 254-82 Razumov A V and Saveliev M V 1997 Theor. Math. Phys. 112 999-1022 (Preprint hep-th/9609031)
    • (1997) Theor. Math. Phys. , vol.112 , pp. 999-1022
    • Razumov, A.V.1    Saveliev, M.V.2
  • 14
    • 0007084601 scopus 로고    scopus 로고
    • String theory and noncommutative geometry
    • JHEP09(1999)032 (Preprint hep-th/9908142)
    • Seiberg N and Witten E 1999 String theory and noncommutative geometry J. High. Energy. Phys. JHEP09(1999)032 (Preprint hep-th/9908142) Douglas M R and Nekrasov N A 2001 Noncommutative field theory Rev. Mod. Phys. 73 977-1029 (Preprint hep-th/0106048)
    • (1999) J. High. Energy. Phys.
    • Seiberg, N.1    Witten, E.2
  • 15
    • 0035486599 scopus 로고    scopus 로고
    • Noncommutative field theory
    • Preprint hep-th/0106048
    • Seiberg N and Witten E 1999 String theory and noncommutative geometry J. High. Energy. Phys. JHEP09(1999)032 (Preprint hep-th/9908142) Douglas M R and Nekrasov N A 2001 Noncommutative field theory Rev. Mod. Phys. 73 977-1029 (Preprint hep-th/0106048)
    • (2001) Rev. Mod. Phys. , vol.73 , pp. 977-1029
    • Douglas, M.R.1    Nekrasov, N.A.2
  • 16
    • 0002442954 scopus 로고
    • Deformation theory and quantization: I. Deformation of symplectic structures; II. Physical applications
    • Bayen F, Flato M, Fronsdal C, Lichnerowicz A and Stemheimer D 1978 Deformation theory and quantization: I. Deformation of symplectic structures; II. Physical applications Ann. Phys., NY 110-1, 61-110, 111-51
    • (1978) Ann. Phys., NY , pp. 110-111
    • Bayen, F.1    Flato, M.2    Fronsdal, C.3    Lichnerowicz, A.4    Stemheimer, D.5
  • 18
    • 0040435634 scopus 로고    scopus 로고
    • Preprint hep-th/0007074
    • Dimakis A and Müller-Hoissen F 2000 Noncommutative Korteweg-de-Vries equation Preprint hep-th/0007074 Dimakis A and Müller-Hoissen F 2000 A Noncommutative version of the nonlinear Schrodinger equation Preprint hep-th/0007015 Dimakis A and Müller-Hoissen F 2000 Bicomplexes and integrable models J. Phys. A: Math. Gen. 33 6579-92 (Preprint nlin. SI/0006029)
    • (2000) Noncommutative Korteweg-de-Vries Equation
    • Dimakis, A.1    Müller-Hoissen, F.2
  • 19
    • 0040435634 scopus 로고    scopus 로고
    • Preprint hep-th/0007015
    • Dimakis A and Müller-Hoissen F 2000 Noncommutative Korteweg-de-Vries equation Preprint hep-th/0007074 Dimakis A and Müller-Hoissen F 2000 A Noncommutative version of the nonlinear Schrodinger equation Preprint hep-th/0007015 Dimakis A and Müller-Hoissen F 2000 Bicomplexes and integrable models J. Phys. A: Math. Gen. 33 6579-92 (Preprint nlin. SI/0006029)
    • (2000) A Noncommutative Version of the Nonlinear Schrodinger Equation
    • Dimakis, A.1    Müller-Hoissen, F.2
  • 20
    • 0040435634 scopus 로고    scopus 로고
    • Bicomplexes and integrable models
    • Preprint nlin. SI/0006029
    • Dimakis A and Müller-Hoissen F 2000 Noncommutative Korteweg-de-Vries equation Preprint hep-th/0007074 Dimakis A and Müller-Hoissen F 2000 A Noncommutative version of the nonlinear Schrodinger equation Preprint hep-th/0007015 Dimakis A and Müller-Hoissen F 2000 Bicomplexes and integrable models J. Phys. A: Math. Gen. 33 6579-92 (Preprint nlin. SI/0006029)
    • (2000) J. Phys. A: Math. Gen. , vol.33 , pp. 6579-6592
    • Dimakis, A.1    Müller-Hoissen, F.2
  • 21
    • 0037436876 scopus 로고    scopus 로고
    • An integrable noncommutative version of the sine-Gordon system
    • Preprint hep-th/0112246
    • Grisaru M T and Penati S 2003 An integrable noncommutative version of the sine-Gordon system Nucl. Phys. B 655 250-76 (Preprint hep-th/0112246)
    • (2003) Nucl. Phys. B , vol.655 , pp. 250-276
    • Grisaru, M.T.1    Penati, S.2
  • 24
    • 0742334160 scopus 로고    scopus 로고
    • Preprint hep-th/0301213
    • Hamanaka M and Toda K 2002 Towards noncommutative integrable systems Preprint hep-th/0211148 Hamanaka M and Toda K 2003 Noncommutative Burgers Equation Preprint hep-th/0301213
    • (2003) Noncommutative Burgers Equation
    • Hamanaka, M.1    Toda, K.2
  • 25
    • 0034734704 scopus 로고    scopus 로고
    • Quantum vertex operators for the sine-Gordon model
    • Saveliev M V and Zuevsky A B 2000 Quantum vertex operators for the sine-Gordon model Int. J. Mod. Phys. A 15 24 3877-97
    • (2000) Int. J. Mod. Phys. A , vol.15 , Issue.24 , pp. 3877-3897
    • Saveliev, M.V.1    Zuevsky, A.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.