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Volumn 33, Issue 30, 2000, Pages 5303-5313

Bases for representations of quantum algebras

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EID: 0034604310     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/30/302     Document Type: Article
Times cited : (9)

References (20)
  • 1
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    • Quantum linear problem for the sine-Gordon equation and higher representations
    • Kulish P P and Reshetikhin N Yu 1983 Quantum linear problem for the sine-Gordon equation and higher representations J. Sov. Math. 23 2435-41
    • (1983) J. Sov. Math. , vol.23 , pp. 2435-2441
    • Kulish, P.P.1    Reshetikhin, N.Yu.2
  • 2
    • 34250143502 scopus 로고
    • Some algebraic structures connected with the Yang-Baxter equation
    • Sklyanin E K 1983 Some algebraic structures connected with the Yang-Baxter equation Funct. Anal. Appl. 16 263-70
    • (1983) Funct. Anal. Appl. , vol.16 , pp. 263-270
    • Sklyanin, E.K.1
  • 3
    • 0040323775 scopus 로고
    • A q-difference analogue of U(g) and the Yang-Baxter equation
    • Jimbo M 1985 A q-difference analogue of U(g) and the Yang-Baxter equation Lett. Math. Phys. 10 63-9
    • (1985) Lett. Math. Phys. , vol.10 , pp. 63-69
    • Jimbo, M.1
  • 4
    • 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 , pp. 537-547
    • Jimbo, M.1
  • 7
    • 36849106706 scopus 로고
    • A new basis for representations of the rotation group. Lamé and Heun polynomial
    • Patera J and Winternitz P 1973 A new basis for representations of the rotation group. Lamé and Heun polynomial J. Math. Phys. 14 1130-9
    • (1973) J. Math. Phys. , vol.14 , pp. 1130-1139
    • Patera, J.1    Winternitz, P.2
  • 11
    • 0012254475 scopus 로고
    • On bases for irreducible representations of O(3) suitable for systems with an arbitrary finite symmetry group
    • Patera J and Winternitz P 1976 On bases for irreducible representations of O(3) suitable for systems with an arbitrary finite symmetry group J. Chem. Phys. 65 2725-31
    • (1976) J. Chem. Phys. , vol.65 , pp. 2725-2731
    • Patera, J.1    Winternitz, P.2
  • 16
    • 0003349836 scopus 로고    scopus 로고
    • The askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
    • Koekoek R and Swarttouw R F 1998 The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue Delft University of Technology Report 98-17
    • (1998) Delft University of Technology Report , pp. 98-117
    • Koekoek, R.1    Swarttouw, R.F.2
  • 17
    • 0002444027 scopus 로고
    • On coherent states for the simplest quantum groups
    • Jurčo B 1991 On coherent states for the simplest quantum groups Lett. Math. Phys. 21 51-8
    • (1991) Lett. Math. Phys. , vol.21 , pp. 51-58
    • Jurčo, B.1
  • 18
    • 0000856269 scopus 로고
    • Sur une généralisation des polynômes d'Hermite
    • Krawtchouk M 1929 Sur une généralisation des polynômes d'Hermite C. R. Acad. Sci., Paris 189 620-2
    • (1929) C. R. Acad. Sci., Paris , vol.189 , pp. 620-622
    • Krawtchouk, M.1
  • 19
    • 0011468468 scopus 로고
    • Some q-Krawtchouk polynomials on Chevalley groups
    • Stanton D 1980 Some q-Krawtchouk polynomials on Chevalley groups Am. J. Math. 102 625-62
    • (1980) Am. J. Math. , vol.102 , pp. 625-662
    • Stanton, D.1
  • 20
    • 0001542822 scopus 로고
    • Orthogonal polynomials in connection with quantum groups
    • ed P Nevai (Norwell, MA: Kluwer)
    • Koornwinder T H 1990 Orthogonal polynomials in connection with quantum groups Orthogonal Polynomials: Theory and Practice ed P Nevai (Norwell, MA: Kluwer) pp 257-92
    • (1990) Orthogonal Polynomials: Theory and Practice , pp. 257-292
    • Koornwinder, T.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.