메뉴 건너뛰기




Volumn 205, Issue 1, 1999, Pages 1-18

Drinfeld functor and finite-dimensional representations of Yangian

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033240870     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050664     Document Type: Article
Times cited : (31)

References (28)
  • 1
    • 22044441691 scopus 로고    scopus 로고
    • Finite-dimensional representations of quantum affine algebras
    • math.QA/9703028
    • [AK] Akasaka, T. and Kashiwara, M.: Finite-dimensional representations of quantum affine algebras. Publ. Res. Inst. Math. Sci. 33(5), 839-867 (1997), (math.QA/9703028)
    • (1997) Publ. Res. Inst. Math. Sci. , vol.33 , Issue.5 , pp. 839-867
    • Akasaka, T.1    Kashiwara, M.2
  • 2
    • 0009088099 scopus 로고    scopus 로고
    • n (ℂ) and the degenerate affine Hecke algebra
    • math.QA/971037
    • n (ℂ) and the degenerate affine Hecke algebra. J. Alg. 209, 288-304 (1998), (math.QA/971037)
    • (1998) J. Alg. , vol.209 , pp. 288-304
    • Arakawa, T.1    Suzuki, T.2
  • 5
    • 0001028633 scopus 로고
    • Kazhdan-Lusztig conjecture and holonomic systems
    • [BK] Brylinski, J.L. and Kashiwara, M.: Kazhdan-Lusztig conjecture and holonomic systems. Invent. Math. 64 (3), 387-410 (1981)
    • (1981) Invent. Math. , vol.64 , Issue.3 , pp. 387-410
    • Brylinski, J.L.1    Kashiwara, M.2
  • 7
    • 84972557101 scopus 로고
    • A new interpretations of Gelfand-Tzetlin basis
    • [Che] Cherednik, I.V.: A new interpretations of Gelfand-Tzetlin basis. Duke. Math. 54, 563-578 (1987)
    • (1987) Duke. Math. , vol.54 , pp. 563-578
    • Cherednik, I.V.1
  • 8
    • 0007109637 scopus 로고
    • Quantum affine algebras
    • [CP1] Chari, V. and Pressley, A.: Quantum affine algebras. Commun. Math. Phys. 142 (2), 261-285 (1991)0
    • (1991) Commun. Math. Phys. , vol.142 , Issue.2 , pp. 261-285
    • Chari, V.1    Pressley, A.2
  • 9
    • 0000645946 scopus 로고    scopus 로고
    • Quantum affine algebras and affine Hecke algebras
    • [CP2] Chari, V. and Pressley, A.: Quantum affine algebras and affine Hecke algebras. Pacific J. Math. 174 (2), 295-326 (1996)
    • (1996) Pacific J. Math. , vol.174 , Issue.2 , pp. 295-326
    • Chari, V.1    Pressley, A.2
  • 10
    • 0002906539 scopus 로고    scopus 로고
    • Yangians: Their representations and characters
    • [CP3] Chari, V. and Pressley, A.: Yangians: their representations and characters. Acta Appl. Math. 44 (1-2), 39-58 (1996)
    • (1996) Acta Appl. Math. , vol.44 , Issue.1-2 , pp. 39-58
    • Chari, V.1    Pressley, A.2
  • 12
    • 0000911818 scopus 로고
    • Hopf algebras and the quantum Yang-Baxter equation
    • [D1] Drinfeld, V.G.: Hopf algebras and the quantum Yang-Baxter equation. Soviet Math. Dokl. 32, 254-258 (1985)
    • (1985) Soviet Math. Dokl. , vol.32 , pp. 254-258
    • Drinfeld, V.G.1
  • 13
    • 34250122727 scopus 로고
    • Degenerate affine Hecke algebras and Yangians
    • [D2] Drinfeld, V.G.: Degenerate affine Hecke algebras and Yangians. Funct. Anal. Appl. 20 (1), 62-64 (1986)
    • (1986) Funct. Anal. Appl. , vol.20 , Issue.1 , pp. 62-64
    • Drinfeld, V.G.1
  • 14
    • 0000503475 scopus 로고
    • A new realization of Yangians and of quantized affine algebras
    • [D3] Drinfeld, V.G.: A new realization of Yangians and of quantized affine algebras. Soviet Math. Dokl. 36, 212-216 (1988)
    • (1988) Soviet Math. Dokl. , vol.36 , pp. 212-216
    • Drinfeld, V.G.1
  • 15
  • 16
    • 0009051956 scopus 로고
    • Proof of the Deligne-Langlands conjecture
    • [Gin] Ginzburg, V.A.: Proof of the Deligne-Langlands conjecture. Soviet. Math. Dokl. 35 (2), 304-308 (1987)
    • (1987) Soviet. Math. Dokl. , vol.35 , Issue.2 , pp. 304-308
    • Ginzburg, V.A.1
  • 17
    • 0001137723 scopus 로고
    • On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula
    • [GJ] Gabber, O. and Joseph, A.: On the Bernstein-Gelfand-Gelfand resolution and the Duflo sum formula. Compos. Math. 43, 261-302 (1981)
    • (1981) Compos. Math. , vol.43 , pp. 261-302
    • Gabber, O.1    Joseph, A.2
  • 19
    • 0003322938 scopus 로고
    • Moduln mit einem höchsten Gewicht
    • Berlin-Heidelberg-New York: Springer-Verlag
    • [Jan] Jantzen, J.C.: Moduln mit einem höchsten Gewicht. Number 750 in Lecture Notes in Mathematics. Berlin-Heidelberg-New York: Springer-Verlag, 1983
    • (1983) Number 750 in Lecture Notes in Mathematics
    • Jantzen, J.C.1
  • 20
    • 34250264460 scopus 로고
    • Representations of Coxter groups and Hecke algebras
    • [KL] Kazhdan, D. and Lusztig, G.: Representations of Coxter groups and Hecke algebras. Invent. Math. 2 (53) 165-184 (1979)
    • (1979) Invent. Math. , vol.2 , Issue.53 , pp. 165-184
    • Kazhdan, D.1    Lusztig, G.2
  • 21
    • 84968466717 scopus 로고
    • Affine Hecke algebras and their graded version
    • [Lus] Lusztig, G.: Affine Hecke algebras and their graded version. J. Am. Math. Soc. 2 (3), 599-635 (1989)
    • (1989) J. Am. Math. Soc. , vol.2 , Issue.3 , pp. 599-635
    • Lusztig, G.1
  • 22
    • 0030491902 scopus 로고    scopus 로고
    • Yangians and classical lie algebras
    • [MNO] Molev, A., Nazarov, M. and Olshanski, G.: Yangians and classical Lie algebras. Russian Math. Surveys 51 (2), 205-283 (1996)
    • (1996) Russian Math. Surveys , vol.51 , Issue.2 , pp. 205-283
    • Molev, A.1    Nazarov, M.2    Olshanski, G.3
  • 23
    • 0032359817 scopus 로고    scopus 로고
    • Finite-dimensional irreducible representations of twisted Yangians
    • math.QA/9711022
    • [Mol] Molev, A.: Finite-dimensional irreducible representations of twisted Yangians. J. Math. Phys. 39 (10), 5559-5600 (1998), (math.QA/9711022)
    • (1998) J. Math. Phys. , vol.39 , Issue.10 , pp. 5559-5600
    • Molev, A.1
  • 24
    • 1842791231 scopus 로고    scopus 로고
    • On irreduciblity of tensor products of yangian modules
    • math.QA/9712004
    • [NT2] Nazarov, M. and Tarasov, V.: On irreduciblity of tensor products of Yangian modules. Internat. Math. Res. Notices 3, 125-150 (1998), (math.QA/9712004)
    • (1998) Internat. Math. Res. Notices , vol.3 , pp. 125-150
    • Nazarov, M.1    Tarasov, V.2
  • 25
    • 0032221398 scopus 로고    scopus 로고
    • Representations of Yangians with Gelfand-Zetlin bases
    • math.QA/9502008
    • [NT1] Nazarov, M. and Tarasov, V.: Representations of Yangians with Gelfand-Zetlin bases. J. Reine Angew. Math. 496 181-212 (1998), (math.QA/9502008)
    • (1998) J. Reine Angew. Math. , vol.496 , pp. 181-212
    • Nazarov, M.1    Tarasov, V.2
  • 26
    • 0001318115 scopus 로고
    • On modules over the Hecke algebra of a p-adic group
    • [Ro] Rogawski, J.D.: On modules over the Hecke algebra of a p-adic group. Invent. Math. 79, 443-465 (1985)
    • (1985) Invent. Math. , vol.79 , pp. 443-465
    • Rogawski, J.D.1
  • 27
    • 85009789234 scopus 로고    scopus 로고
    • Rogawski's conjecture of the Jantzen filtlation for the degenerate affine Hecke algebra of type A
    • electronic
    • [S] Suzuki, T.: Rogawski's conjecture of the Jantzen filtlation for the degenerate affine Hecke algebra of type A. Represent. Theory 2, 393-409 (electronic) (1998)
    • (1998) Represent. Theory , vol.2 , pp. 393-409
    • Suzuki, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.