메뉴 건너뛰기




Volumn 694, Issue 3, 2004, Pages 354-404

An integrable Uq(gl(2 2))1-model: Corner transfer matrices and Young skew diagrams

(1)  Gade, Renate M a  

a NONE   (Germany)

Author keywords

Corner transfer matrices; Integrable models; Quantum affine superalgebras; Young skew diagrams

Indexed keywords


EID: 4043184315     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2004.06.035     Document Type: Article
Times cited : (2)

References (50)
  • 2
    • 0003143798 scopus 로고
    • One-dimensional configuration sums in vertex models and affine Lie algebra characters
    • Date E. Jimbo M. Kuniba A. Miwa T. Okado M. One-dimensional configuration sums in vertex models and affine Lie algebra characters Lett. Math. Phys. 17 1989 69-77
    • (1989) Lett. Math. Phys. , vol.17 , pp. 69-77
    • Date, E.1    Jimbo, M.2    Kuniba, A.3    Miwa, T.4    Okado, M.5
  • 3
    • 0001500541 scopus 로고
    • Corner transfer matrices and quantum affine algebras
    • Foda O. Miwa T. Corner transfer matrices and quantum affine algebras Int. J. Mod. Phys. A 7 Suppl. 1A 1992 279-302
    • (1992) Int. J. Mod. Phys. A , vol.7 , Issue.SUPPL. 1A , pp. 279-302
    • Foda, O.1    Miwa, T.2
  • 5
    • 0003304950 scopus 로고
    • Algebraic Analysis of Solvable Lattice Models
    • American Mathematical Society
    • Jimbo M. Miwa T. Algebraic Analysis of Solvable Lattice Models Regional Conference Series in Mathematics vol. 85 1995 American Mathematical Society
    • (1995) Regional Conference Series in Mathematics , vol.85
    • Jimbo, M.1    Miwa, T.2
  • 8
    • 0021422438 scopus 로고
    • Eight vertex SOS model and generalized Rogers - Ramanujan identities
    • Andrews G.E. Baxter R.J. Forrester P.J. Eight vertex SOS model and generalized Rogers-Ramanujan identities J. Stat. Phys. 35 1984 193-266
    • (1984) J. Stat. Phys. , vol.35 , pp. 193-266
    • Andrews, G.E.1    Baxter, R.J.2    Forrester, P.J.3
  • 9
    • 0000291003 scopus 로고
    • Exactly solvable SOS models, I: Local height probabilities and theta function identities
    • Date E. Jimbo M. Kuniba A. Miwa T. Okado M. Exactly solvable SOS models, I: local height probabilities and theta function identities Nucl. Phys. B 290 1987 231-273
    • (1987) Nucl. Phys. B , vol.290 , pp. 231-273
    • Date, E.1    Jimbo, M.2    Kuniba, A.3    Miwa, T.4    Okado, M.5
  • 10
    • 0003192389 scopus 로고
    • Exactly solvable SOS models, II: Proof of the star-triangle relation and combinatorial identities
    • Date E. Jimbo M. Kuniba A. Miwa T. Okado M. Exactly solvable SOS models, II: proof of the star-triangle relation and combinatorial identities Adv. Stud. Pure Math. 16 1988 17-122
    • (1988) Adv. Stud. Pure Math. , vol.16 , pp. 17-122
    • Date, E.1    Jimbo, M.2    Kuniba, A.3    Miwa, T.4    Okado, M.5
  • 11
    • 0001293620 scopus 로고
    • Structure of the space of states in RSOS models
    • Jimbo M. Miwa T. Otha Y. Structure of the space of states in RSOS models Int. J. Mod. Phys. A 8 1993 1457-1477
    • (1993) Int. J. Mod. Phys. A , vol.8 , pp. 1457-1477
    • Jimbo, M.1    Miwa, T.2    Otha, Y.3
  • 12
    • 0037414607 scopus 로고    scopus 로고
    • 2) and a corner transfer matrix at q = 0
    • 2) and a corner transfer matrix at q=0 Nucl. Phys. B 659 2003 387-423
    • (2003) Nucl. Phys. B , vol.659 , pp. 387-423
    • Gade, R.M.1
  • 13
    • 84972557101 scopus 로고
    • A new interpretation of Gelfand - Zetlin bases
    • Cherednik I. A new interpretation of Gelfand-Zetlin bases Duke Math. J. 54 1987 563-577
    • (1987) Duke Math. J. , vol.54 , pp. 563-577
    • Cherednik, I.1
  • 14
    • 0032221398 scopus 로고    scopus 로고
    • Representations of Yangians with Gelfand - Zetlin bases
    • Narazov M. Tarasov V. Representations of Yangians with Gelfand-Zetlin bases J. Reine Angew. Math. 496 1998 181-212
    • (1998) J. Reine Angew. Math. , vol.496 , pp. 181-212
    • Narazov, M.1    Tarasov, V.2
  • 15
    • 1842791231 scopus 로고    scopus 로고
    • On irreducibility of tensor products of Yangian modules
    • Narasov M. Tarasov V. On irreducibility of tensor products of Yangian modules Int. Math. Res. Notices 1998 125-150
    • (1998) Int. Math. Res. Notices , pp. 125-150
    • Narasov, M.1    Tarasov, V.2
  • 16
    • 0031138760 scopus 로고    scopus 로고
    • Skew Young Diagram method in spectral decomposition of integrable lattice models
    • Kirillov A. Kuniba A. Nakanishi T. Skew Young Diagram method in spectral decomposition of integrable lattice models Commun. Math. Phys. 185 1997 441-465
    • (1997) Commun. Math. Phys. , vol.185 , pp. 441-465
    • Kirillov, A.1    Kuniba, A.2    Nakanishi, T.3
  • 18
    • 0032487292 scopus 로고    scopus 로고
    • Skew Young diagram method in spectral decomposition of integrable lattice models, II: Higher levels
    • Kirillov A. Kuniba A. Nakanishi T. Skew Young diagram method in spectral decomposition of integrable lattice models, II: higher levels Nucl. Phys. B 529 1998 611-638
    • (1998) Nucl. Phys. B , vol.529 , pp. 611-638
    • Kirillov, A.1    Kuniba, A.2    Nakanishi, T.3
  • 19
    • 66049113438 scopus 로고    scopus 로고
    • N
    • math.QA/9802048
    • N math.QA/9802048
    • Uglov, D.1
  • 20
    • 0001492834 scopus 로고
    • Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory
    • Haldane F.D.M. Ha Z.N.C. Testra J.C. Bernard D. Pasquier V. Yangian symmetry of integrable quantum chains with long-range interactions and a new description of states in conformal field theory Phys. Rev. Lett. 69 1992 2021-2024
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 2021-2024
    • Haldane, F.D.M.1    Ha, Z.N.C.2    Testra, J.C.3    Bernard, D.4    Pasquier, V.5
  • 24
    • 22044435186 scopus 로고    scopus 로고
    • Quantum toroidal algebras and their vertex representations
    • Saito Y. Quantum toroidal algebras and their vertex representations Publ. RIMS 34 1998 155-177
    • (1998) Publ. RIMS , vol.34 , pp. 155-177
    • Saito, Y.1
  • 27
    • 0347333649 scopus 로고    scopus 로고
    • Double-loop algebras and the Fock space
    • Varagnolo M. Vasserot E. Double-loop algebras and the Fock space Invent. Math. 133 1998 133-159
    • (1998) Invent. Math. , vol.133 , pp. 133-159
    • Varagnolo, M.1    Vasserot, E.2
  • 30
    • 0002956518 scopus 로고
    • Infinite-dimensional algebras, Dedekind's η-function, classical Möbius function and the very strange formula
    • Kac V.G. Infinite-dimensional algebras, Dedekind's η-function, classical Möbius function and the very strange formula Adv. Math. 30 1978 85-136
    • (1978) Adv. Math. , vol.30 , pp. 85-136
    • Kac, V.G.1
  • 31
    • 0004310482 scopus 로고    scopus 로고
    • On defining relations of the Lie superalgebras and their quantized universal enveloping superalgebras
    • q-alg/9603015
    • Yamane H. On defining relations of the Lie superalgebras and their quantized universal enveloping superalgebras q-alg/9603015
    • Yamane, H.1
  • 32
    • 78149358601 scopus 로고    scopus 로고
    • Irreducible modules for affine Lie superalgebras
    • math.RT/0311207
    • Eswara Rao S. Futorny V. Irreducible modules for affine Lie superalgebras math.RT/0311207
    • Eswara Rao, S.1    Futorny, V.2
  • 34
    • 0000192792 scopus 로고
    • Integrable highest weight modules over affine super algebras and number theory
    • Birkhäuser, Boston
    • Kac V.G. Wakimoto M. Integrable highest weight modules over affine super algebras and number theory Progress in Mathematics vol. 123 1994 415-456 Birkhäuser Boston
    • (1994) Progress in Mathematics , vol.123 , pp. 415-456
    • Kac, V.G.1    Wakimoto, M.2
  • 35
    • 0035530552 scopus 로고    scopus 로고
    • Integrable highest weight modules over affine superalgebras and Appell's function
    • Kac V.G. Wakimoto M. Integrable highest weight modules over affine superalgebras and Appell's function Commun. Math. Phys. 215 2001 631-682
    • (2001) Commun. Math. Phys. , vol.215 , pp. 631-682
    • Kac, V.G.1    Wakimoto, M.2
  • 36
    • 49449126179 scopus 로고
    • Lie superalgebras
    • Kac V.G. Lie superalgebras Adv. Math. 26 1977 8-96
    • (1977) Adv. Math. , vol.26 , pp. 8-96
    • Kac, V.G.1
  • 37
    • 0038675125 scopus 로고    scopus 로고
    • Infinite-dimensional Lie superalgebras and Hook - Schur functions
    • Cheng S.-J. Lam N. Infinite-dimensional Lie superalgebras and Hook-Schur functions Commun. Math. Phys. 238 2003 95-118
    • (2003) Commun. Math. Phys. , vol.238 , pp. 95-118
    • Cheng, S.-J.1    Lam, N.2
  • 38
    • 0001117173 scopus 로고
    • Representations of classical Lie superalgebras
    • Springer-Verlag
    • Kac V.G. Representations of classical Lie superalgebras Lecture Notes in Math. vol. 676 1978 597-626 Springer-Verlag
    • (1978) Lecture Notes in Math. , vol.676 , pp. 597-626
    • Kac, V.G.1
  • 39
    • 4043077314 scopus 로고    scopus 로고
    • Character and dimensional formulae for finite-dimensional irreducible representations of the general linear superalgebra
    • math.QA/0403315
    • Su Y. Zhang R.B. Character and dimensional formulae for finite-dimensional irreducible representations of the general linear superalgebra math.QA/0403315
    • Su, Y.1    Zhang, R.B.2
  • 40
    • 4043119999 scopus 로고    scopus 로고
    • Character formula for infinite dimensional unitarizable modules of the general linear superalgebra
    • math.RT/0301183
    • Cheng S.-J. Lam N. Zhang R.B. Character formula for infinite dimensional unitarizable modules of the general linear superalgebra math.RT/0301183
    • Cheng, S.-J.1    Lam, N.2    Zhang, R.B.3
  • 41
    • 0000503475 scopus 로고
    • A new realization of Yangians and quantized affine algebras
    • Drinfeld V.G. A new realization of Yangians and quantized affine algebras Sov. Math. Dokl. 36 1988 212
    • (1988) Sov. Math. Dokl. , vol.36 , pp. 212
    • Drinfeld, V.G.1
  • 42
    • 0032577171 scopus 로고    scopus 로고
    • q(̂gl(2 2))
    • q(̂gl(2 2)) J. Phys. A 31 1998 4909-4925
    • (1998) J. Phys. A , vol.31 , pp. 4909-4925
    • Gade, R.M.1
  • 44
    • 0000791445 scopus 로고
    • Extended Sugawara construction for the superalgebras SU(M+1|N+1), I: Free field representation and bosonization of super Kac-Moody currents
    • Bouwknegt P. Ceresole A. McCarthy J.G. van Nieuwenhuizen P. Extended Sugawara construction for the superalgebras SU(M+1|N+1), I: free field representation and bosonization of super Kac-Moody currents Phys. Rev. D 39 1989 2971-2986
    • (1989) Phys. Rev. D , vol.39 , pp. 2971-2986
    • Bouwknegt, P.1    Ceresole, A.2    McCarthy, J.G.3    van Nieuwenhuizen, P.4
  • 46
    • 0001635024 scopus 로고
    • Representations of classical Lie superalgebras of type I
    • Penkov I. Serganova V. Representations of classical Lie superalgebras of type I Indag. Math. 3 1992 419-466
    • (1992) Indag. Math. , vol.3 , pp. 419-466
    • Penkov, I.1    Serganova, V.2
  • 47
    • 0001092170 scopus 로고
    • New families of commuting transfer matrices in q-state vertex models
    • Perk J.H.H. Schultz C.L. New families of commuting transfer matrices in q-state vertex models Phys. Lett. A 84 1981 407-410
    • (1981) Phys. Lett. A , vol.84 , pp. 407-410
    • Perk, J.H.H.1    Schultz, C.L.2
  • 50
    • 0040339026 scopus 로고    scopus 로고
    • Partially and fully integrable modules over Lie super algebras
    • S.-T Yau (Ed.), American Mathematical Society
    • Dimitrov I. Penkov I. Partially and fully integrable modules over Lie super algebras Yau S.-T. (Ed.). Studies in Advanced Mathematics vol. 4 1997 49-67 American Mathematical Society
    • (1997) Studies in Advanced Mathematics , vol.4 , pp. 49-67
    • Dimitrov, I.1    Penkov, I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.