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Volumn 276, Issue 3, 2007, Pages 799-825

Gauss decomposition of the Yangian y (glm|n)

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EID: 35548990569     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-007-0349-5     Document Type: Article
Times cited : (64)

References (21)
  • 1
    • 0011557325 scopus 로고
    • Gl(n|m) color Calogero-Sutherland models and super Yangian algebra
    • 1-4
    • Ahn C. and Koo W.M. (1966). gl(n|m) color Calogero-Sutherland models and super Yangian algebra. Phys. Lett. B 365(1-4): 105-112
    • (1966) Phys. Lett. B , vol.365 , pp. 105-112
    • Ahn, C.1    Koo, W.M.2
  • 3
    • 0031557984 scopus 로고    scopus 로고
    • Super Yangian double DY(gl(1|1)) and its Gauss decomposition
    • 11
    • Cai J.-f., Ju G.-x., Wu K. and Wang S.-k. (1997). Super Yangian double DY(gl(1|1)) and its Gauss decomposition. J. Phys. A 30(11): L347-L350
    • (1997) J. Phys. A , vol.30
    • Cai, J.-F.1    Ju, G.-X.2    Wu, K.3    Wang, S.-K.4
  • 4
    • 0345581676 scopus 로고    scopus 로고
    • Lax pair and super-Yangian symmetry of the nonlinear super- Schrödinger equation
    • 12
    • Caudrelier V. and Ragoucy E. (2003). Lax pair and super-Yangian symmetry of the nonlinear super-Schrödinger equation. J. Math. Phys. 44(12): 5706-5732
    • (2003) J. Math. Phys. , vol.44 , pp. 5706-5732
    • Caudrelier, V.1    Ragoucy, E.2
  • 5
    • 0347931762 scopus 로고    scopus 로고
    • n ) in the Drinfeld realization
    • 1
    • n ) in the Drinfeld realization. J. Math. Phys. 45(1): 434-447
    • (2004) J. Math. Phys. , vol.45 , pp. 434-447
    • Crampé, N.1
  • 6
    • 23044450243 scopus 로고    scopus 로고
    • Yangian symmetry in D = 4 superconformal Yang-Mills theory
    • World Sci. Publ., Hackensack, NJ
    • Dolan, L., Nappi, C.R., Witten, E.: Yangian symmetry in D = 4 superconformal Yang-Mills theory. In: Quantum theory and symmetries, World Sci. Publ., Hackensack, NJ, 2004, pp. 300-315
    • (2004) Quantum Theory and Symmetries , pp. 300-315
    • Dolan, L.1    Nappi, C.R.2    Witten, E.3
  • 9
    • 30544434931 scopus 로고    scopus 로고
    • m|n) and its quantum Berezinian
    • 11
    • m|n) and its quantum Berezinian. Czech. J. Phys. 55(11): 1415-1420
    • (2005) Czech. J. Phys. , vol.55 , pp. 1415-1420
    • Gow, L.1
  • 10
    • 0035616522 scopus 로고    scopus 로고
    • Defining relations for Lie superalgebras with Cartan matrix
    • 1
    • Grozman P. and Leites D. (2001). Defining relations for Lie superalgebras with Cartan matrix. Czech. J. Phys. 51(1): 1-21
    • (2001) Czech. J. Phys. , vol.51 , pp. 1-21
    • Grozman, P.1    Leites, D.2
  • 12
    • 0032376910 scopus 로고    scopus 로고
    • The algebraic structure of the gl(n| m) color Calogero-Sutherland models
    • 5
    • Ju G.-x., Wang S.-k. and Wu K. (1998). The algebraic structure of the gl(n| m) color Calogero-Sutherland models. J. Math. Phys. 39(5): 2813-2820
    • (1998) J. Math. Phys. , vol.39 , pp. 2813-2820
    • Ju, G.-X.1    Wang, S.-K.2    Wu, K.3
  • 13
    • 49449126179 scopus 로고
    • Lie superalgebras
    • 1
    • Kac V.G. (1977). Lie superalgebras. Advances in Math. 26(1): 8-96
    • (1977) Advances in Math. , vol.26 , pp. 8-96
    • Kac, V.G.1
  • 14
    • 0041034753 scopus 로고
    • On PBW bases for Yangians
    • 1
    • Levendorski S.Z. (1993). On PBW bases for Yangians. Lett. Math. Phys. 27(1): 37-42
    • (1993) Lett. Math. Phys. , vol.27 , pp. 37-42
    • Levendorski, S.Z.1
  • 16
    • 0000697008 scopus 로고
    • Quantum Berezinian and the classical Capelli identity
    • 2
    • Nazarov M.L. (1991). Quantum Berezinian and the classical Capelli identity. Lett. Math. Phys. 21(2): 123-131
    • (1991) Lett. Math. Phys. , vol.21 , pp. 123-131
    • Nazarov, M.L.1
  • 17
    • 0002780902 scopus 로고
    • The theory of Lie superalgebras
    • Berlin: Springer
    • Scheunert, M.: The theory of Lie superalgebras, Volume 716 of Lecture Notes in Mathematics. Berlin: Springer, 1979
    • (1979) Lecture Notes in Mathematics , vol.716
    • Scheunert, M.1
  • 18
    • 21144483741 scopus 로고
    • The presentation and q deformation of special linear Lie superalgebras
    • 8
    • Scheunert M. (1993). The presentation and q deformation of special linear Lie superalgebras. J. Math. Phys. 34(8): 3780-3808
    • (1993) J. Math. Phys. , vol.34 , pp. 3780-3808
    • Scheunert, M.1
  • 19
    • 33744815034 scopus 로고
    • Yangians of Lie superalgebras of type A(m, n)
    • 3
    • Stukopin V.A. (1994). Yangians of Lie superalgebras of type A(m, n). Funct. Anal. Appl. 28(3): 217-219
    • (1994) Funct. Anal. Appl. , vol.28 , pp. 217-219
    • Stukopin, V.A.1
  • 20
    • 35548964115 scopus 로고    scopus 로고
    • Yangians of classical lie superalgebras: Basic constructions, quantum double and universal R-matrix
    • 3
    • Stukopin V. (2004). Yangians of classical lie superalgebras: Basic constructions, quantum double and universal R-matrix. Proceedings of the Institute of Mathematics of NAS of Ukraine 50(3): 1195-1201
    • (2004) Proceedings of the Institute of Mathematics of NAS of Ukraine , vol.50 , pp. 1195-1201
    • Stukopin, V.1
  • 21
    • 0000377236 scopus 로고    scopus 로고
    • The gl(M|N) super Yangian and its finite-dimensional representations
    • 4
    • Zhang R.B. (1996). The gl(M|N) super Yangian and its finite-dimensional representations. Lett. Math. Phys. 37(4): 419-434
    • (1996) Lett. Math. Phys. , vol.37 , pp. 419-434
    • Zhang, R.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.