메뉴 건너뛰기




Volumn 192, Issue 1, 1997, Pages 102-129

A classification of unitary highest weight modules of the quantum analogue of the symmetric pair (An, An - 1)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0031164869     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.6909     Document Type: Article
Times cited : (3)

References (30)
  • 6
    • 0002482915 scopus 로고
    • On some unsolved problems in quantum group theory
    • Springer-Verlag. p. 1-8
    • Drinfeld V. G. On some unsolved problems in quantum group theory. Quantum Groups. Lecture Notes in Math. 1510:1992;Springer-Verlag. p. 1-8.
    • (1992) Quantum Groups Lecture Notes in Math. , vol.1510
    • Drinfeld, V.G.1
  • 7
    • 0001064922 scopus 로고
    • A classification of unitary highest weight modules
    • P. Trombi. Representation Theory of Reductive Groups Boston: Birkhäuser
    • Enright T., Howe R., Wallach N. R. A classification of unitary highest weight modules. Trombi P. Representation Theory of Reductive Groups. Progress in Math. 1982;Birkhäuser, Boston.
    • (1982) Progress in Math.
    • Enright, T.1    Howe, R.2    Wallach, N.R.3
  • 9
    • 0003198090 scopus 로고
    • Introduction to Lie Algebras and Representation theory
    • New York/Heidelberg/Berlin: Springer-Verlag
    • Humphreys J. E. Introduction to Lie Algebras and Representation theory. Graduate Texts in Math. 9:1972;Springer-Verlag, New York/Heidelberg/Berlin.
    • (1972) Graduate Texts in Math. , vol.9
    • Humphreys, J.E.1
  • 10
    • 0003322938 scopus 로고
    • Moduln mit einem höchsten Gewicht
    • Springer-Verlag
    • Jantzen J. C. Moduln mit einem höchsten Gewicht. Lecture Notes in Math. 750:1979;Springer-Verlag.
    • (1979) Lecture Notes in Math. , vol.750
    • Jantzen, J.C.1
  • 11
    • 0001778892 scopus 로고
    • Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
    • Jantzen J. C. Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren. Math. Ann. 226:1977;53-65.
    • (1977) Math. Ann. , vol.226 , pp. 53-65
    • Jantzen, J.C.1
  • 12
    • 0002415212 scopus 로고
    • Quantum groups and their primitive ideals
    • Joseph A. Quantum groups and their primitive ideals. Ergeb. Math. Grenzgeb. 29:1995.
    • (1995) Ergeb. Math. Grenzgeb. , vol.29
    • Joseph, A.1
  • 15
    • 0001314858 scopus 로고
    • Algebras of functions on compact quantum groups, Shubert cells and quantum tori
    • Levendorskii S., Soibelman Y. Algebras of functions on compact quantum groups, Shubert cells and quantum tori. Comm. Math. Phys. 139:1991;141-170.
    • (1991) Comm. Math. Phys. , vol.139 , pp. 141-170
    • Levendorskii, S.1    Soibelman, Y.2
  • 16
    • 34249957902 scopus 로고
    • Quantum groups at root of one
    • Lusztig G. Quantum groups at root of one. Geom. Dedicata. 3:1990;89-114.
    • (1990) Geom. Dedicata , vol.3 , pp. 89-114
    • Lusztig, G.1
  • 17
    • 45449122603 scopus 로고
    • Quantum deformations of certain simple modules over enveloping algebras
    • Lusztig G. Quantum deformations of certain simple modules over enveloping algebras. Adv. in Math. 70:1988;237-249.
    • (1988) Adv. in Math. , vol.70 , pp. 237-249
    • Lusztig, G.1
  • 18
    • 84968495738 scopus 로고
    • Canonical bases arising from quantized enveloping algebras
    • Lusztig G. Canonical bases arising from quantized enveloping algebras. J. Amer. Math. Soc. 3:1990;447-498.
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 447-498
    • Lusztig, G.1
  • 21
    • 27844542463 scopus 로고
    • Representations des groupes quantiques
    • Rosso M. Representations des groupes quantiques. Seminaire Bourbaki. 1990/1991.
    • (1990) Seminaire Bourbaki
    • Rosso, M.1
  • 22
    • 0000339016 scopus 로고
    • Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques
    • Rosso M. Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques. Ann. Sci. Norm. Sup. 23:1990;445-467.
    • (1990) Ann. Sci. Norm. Sup. , vol.23 , pp. 445-467
    • Rosso, M.1
  • 23
    • 84973997823 scopus 로고
    • Algèbres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif
    • Rosso M. Algèbres enveloppantes quantifiées, groupes quantiques compacts de matrices et calcul différentiel non commutatif. Duke Math. J. 61:1990;11-40.
    • (1990) Duke Math. J. , vol.61 , pp. 11-40
    • Rosso, M.1
  • 24
    • 34250094247 scopus 로고
    • Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
    • Rosso M. Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra. Comm. Math. Phys. 117:1988;581-593.
    • (1988) Comm. Math. Phys. , vol.117 , pp. 581-593
    • Rosso, M.1
  • 25
    • 0001653333 scopus 로고
    • On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
    • Shapovalov N. N. On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra. Functional Anal. Appl. 6:1972;307-312.
    • (1972) Functional Anal. Appl. , vol.6 , pp. 307-312
    • Shapovalov, N.N.1
  • 26
    • 0000161955 scopus 로고
    • Quantum Weyl group and some of its applications
    • Soibelman Y. S. Quantum Weyl group and some of its applications. Rend. Circ. Mat. Palermo (2) Suppl. 26:1991;233-235.
    • (1991) Rend. Circ. Mat. Palermo (2) Suppl. , vol.26 , pp. 233-235
    • Soibelman, Y.S.1
  • 27
    • 0001922864 scopus 로고
    • On some problems in the theory of quantum groups
    • A.M. Vershik. Representation Theory and Dynamical Systems. Providence: American Mathematical Society
    • Soibelman Y. S., Vaksman L. L. On some problems in the theory of quantum groups. Vershik A. M. Representation Theory and Dynamical Systems. Adv. Soviet Math. 9:1992;3-55 American Mathematical Society, Providence.
    • (1992) Adv. Soviet Math. , vol.9 , pp. 3-55
    • Soibelman, Y.S.1    Vaksman, L.L.2
  • 28
    • 0010965387 scopus 로고
    • Killing forms, Harish-Chandra isomorphisms, and universalR
    • River Edge: World Scientific. p. 941-961
    • Tanisaki T. Killing forms, Harish-Chandra isomorphisms, and universalR. Infinite Analysis. Adv. Ser. Math. Phys. 16:1992;World Scientific, River Edge. p. 941-961.
    • (1992) Infinite Analysis Adv. Ser. Math. Phys. , vol.16
    • Tanisaki, T.1
  • 29
    • 84968467363 scopus 로고
    • The analytic continuation of the discrete series. II
    • Wallach N. R. The analytic continuation of the discrete series. II. Trans. Amer. Math. Soc. 251:1979;19-37.
    • (1979) Trans. Amer. Math. Soc. , vol.251 , pp. 19-37
    • Wallach, N.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.