메뉴 건너뛰기




Volumn 216, Issue 1, 2001, Pages 23-57

Combinatorics of q-characters of finite-dimensional representations of quantum affine algebras

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035530560     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200000323     Document Type: Article
Times cited : (217)

References (24)
  • 1
    • 22044441691 scopus 로고    scopus 로고
    • Finite-dimensional representations of quantum affine algebras
    • [AK] Akasaka, T., Kashiwara, M.: Finite-dimensional representations of quantum affine algebras. Publ. Res. Inst. Math. Sci. 33, no. 5, 839-867 (1997)
    • (1997) Publ. Res. Inst. Math. Sci. , vol.33 , Issue.5 , pp. 839-867
    • Akasaka, T.1    Kashiwara, M.2
  • 2
    • 21844515873 scopus 로고
    • Braid group action and quantum affine algebras
    • [B] Beck, J.: Braid group action and quantum affine algebras. Commun. Math. Phys. 165, no. 3, 555-568 (1994)
    • (1994) Commun. Math. Phys. , vol.165 , Issue.3 , pp. 555-568
    • Beck, J.1
  • 4
    • 0007109637 scopus 로고
    • Quantum affine algebras
    • [CP2] Chari, V., Pressley. A.: Quantum affine algebras. Commun. Math. Phys. 142, no. 2, 261-283 (1991)
    • (1991) Commun. Math. Phys. , vol.142 , Issue.2 , pp. 261-283
    • Chari, V.1    Pressley, A.2
  • 5
    • 0002978237 scopus 로고
    • Quantum affine algebras and their representations
    • [CP3] Chari, V., Pressley, A.: Quantum affine algebras and their representations. In: Representations of groups (Banff, AB, 1994), 59-78, CMS Conf. Proc. 16, Providence, RI: Am. Math. Soc., 1995
    • (1994) Representations of Groups Banff, AB , pp. 59-78
    • Chari, V.1    Pressley, A.2
  • 6
    • 0007081326 scopus 로고    scopus 로고
    • [CP3] Chari, V., Pressley, A.: Quantum affine algebras and their representations. In: Representations of groups (Banff, AB, 1994), 59-78, CMS Conf. Proc. 16, Providence, RI: Am. Math. Soc., 1995
    • Cms Conf. Proc. , vol.16
  • 7
    • 0003480635 scopus 로고
    • [CP3] Chari, V., Pressley, A.: Quantum affine algebras and their representations. In: Representations of groups (Banff, AB, 1994), 59-78, CMS Conf. Proc. 16, Providence, RI: Am. Math. Soc., 1995
    • (1995) Am. Math. Soc.
    • Providence, R.I.1
  • 8
    • 0030586645 scopus 로고    scopus 로고
    • Minimal affinizations of representations of quantum groups: The simply laced case
    • [CP4] Chari, V., Pressley, A.: Minimal affinizations of representations of quantum groups: The simply laced case. J. Algebra 184, no. 1, 1-30 (1996)
    • (1996) J. Algebra , vol.184 , Issue.1 , pp. 1-30
    • Chari, V.1    Pressley, A.2
  • 9
    • 0002906539 scopus 로고    scopus 로고
    • Yangians: Their representations and characters. Representations of lie groups, lie algebras and their quantum analogues
    • [CP5] Chari, V., Pressley, A.: Yangians: their representations and characters. Representations of Lie groups, Lie algebras and their quantum analogues. Acta Appl. Math. 44, no. 1-2, 39-58 (1996)
    • (1996) Acta Appl. Math. , vol.44 , Issue.1-2 , pp. 39-58
    • Chari, V.1    Pressley, A.2
  • 10
    • 0032117747 scopus 로고    scopus 로고
    • La r-matrice pour les algebres quantiques de type affine non tordu
    • [Da] Damiani, I.: La R-matrice pour les algebres quantiques de type affine non tordu. Ann. Sci. Ecole Norm. Sup. 31, no. 4, 493-523 (1998)
    • (1998) Ann. Sci. Ecole Norm. Sup. , vol.31 , Issue.4 , pp. 493-523
    • Damiani, I.1
  • 11
    • 0000911818 scopus 로고
    • Hopf algebras and the quantum yang-baxter equation
    • [Dr1] Drinfeld, V.G.: Hopf algebras and the quantum Yang-Baxter equation. Sov. Math. Dokl. 32, 254-258 (1985)
    • (1985) Sov. Math. Dokl. , vol.32 , pp. 254-258
    • Drinfeld, V.G.1
  • 12
    • 0000503475 scopus 로고
    • A new realization of yangians and of quantum affine algebras
    • [Dr2] Drinfeld, V.G.: A new realization of Yangians and of quantum affine algebras. Sov. Math. Dokl. 36, 212-216 (1987)
    • (1987) Sov. Math. Dokl. , vol.36 , pp. 212-216
    • Drinfeld, V.G.1
  • 13
    • 0000805003 scopus 로고
    • On almost cocommutative hopf algebras
    • [Dr3] Drinfeld, V.G.: On almost cocommutative Hopf algebras. Leningrad Math. J. 1, 1419-1457 (1990)
    • (1990) Leningrad Math. J. , vol.1 , pp. 1419-1457
    • Drinfeld, V.G.1
  • 15
    • 0032354710 scopus 로고    scopus 로고
    • Deformations of w-algebras associated to simple lie algebras
    • [FR1] Frenkel, E., Reshetikhin, N.: Deformations of W-algebras associated to simple Lie algebras. Commun. Math. Phys. 197, no. 1, 1-32 (1998)
    • (1998) Commun. Math. Phys. , vol.197 , Issue.1 , pp. 1-32
    • Frenkel, E.1    Reshetikhin, N.2
  • 16
    • 0000268226 scopus 로고    scopus 로고
    • The q-characters of representations of quantum affine agebras and deformations of w-algebras
    • Preprint math.QA/9810055; AMS
    • [FR2] Frenkel, E., Reshetikhin, N.: The q-characters of representations of quantum affine agebras and deformations of W-algebras. Preprint math.QA/9810055; in Contemporary Math 248, 163-205, AMS 2000
    • (2000) Contemporary Math , vol.248 , pp. 163-205
    • Frenkel, E.1    Reshetikhin, N.2
  • 18
    • 0040323775 scopus 로고
    • A q-difference analogue of u(g) and the yang-baxter equation
    • [J] Jimbo, M.: A q-difference analogue of U(g) and the Yang-Baxter equation. Lett. Math. Phys. 10 no. 1, 63-69 (1985)
    • (1985) Lett. Math. Phys. , vol.10 , Issue.1 , pp. 63-69
    • Jimbo, M.1
  • 20
    • 0000426187 scopus 로고
    • Representations of quantum affine algebras
    • [KS] Kazhdan, D., Soibelman, Y.: Representations of quantum affine algebras. Selecta Math. (N.S.) 1, 537-595 (1995)
    • (1995) Selecta Math. (N.S.) , vol.1 , pp. 537-595
    • Kazhdan, D.1    Soibelman, Y.2
  • 21
    • 0001910975 scopus 로고
    • Twisting of quantum (super)algebras. Connection of drinfeld's and cartan-weyl realizations for quantum affine algebras
    • River Edge, NJ: World Sci. Publishing
    • [KT] Khoroshkin, S., Tolstoy, V.: Twisting of quantum (super)algebras. Connection of Drinfeld's and Cartan-Weyl realizations for quantum affine algebras. In: Generalized symmetries in physics (Clausthal, 1993), River Edge, NJ: World Sci. Publishing, 1994, pp. 42-54
    • (1994) Generalized Symmetries in Physics (Clausthal, 1993) , pp. 42-54
    • Khoroshkin, S.1    Tolstoy, V.2
  • 22
    • 0000487016 scopus 로고
    • Spectra of tensor products of finite-dimensional representations of yangians
    • [Kn] Knight, H.: Spectra of tensor products of finite-dimensional representations of Yangians. J. Algebra 174, 187-196 (1995)
    • (1995) J. Algebra , vol.174 , pp. 187-196
    • Knight, H.1
  • 24
    • 0032369049 scopus 로고    scopus 로고
    • Affine quantum groups and equivariant k-theory
    • [V] Vasserot, E.: Affine quantum groups and equivariant K-theory. Transform. Groups. 3. no. 3, 269-299 (1998)
    • (1998) Transform. Groups , vol.3 , Issue.3 , pp. 269-299
    • Vasserot, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.