메뉴 건너뛰기




Volumn 224, Issue 3, 2001, Pages 705-732

Tensor product of crystal bases for Uq(g-fractur signl-fractur sign(m, n))-modules

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035647983     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005591     Document Type: Article
Times cited : (17)

References (25)
  • 2
    • 0001955049 scopus 로고
    • Hook Young diagrams with applications to combinatorics and to the representations of Lie superalgebras
    • 2. Berele, A., Regev, A.: Hook Young diagrams with applications to combinatorics and to the representations of Lie superalgebras. Adv. Math. 64, 118-175 (1987)
    • (1987) Adv. Math. , vol.64 , pp. 118-175
    • Berele, A.1    Regev, A.2
  • 4
    • 0003088883 scopus 로고
    • q(g-fractur signl-fractur sign(n, ℂ)) at q = 0 and the Robinson-Schensted correspondence
    • L. Brink, D. Friedan, A. M. Polyakov (eds). Singapore: World Scientific
    • q(g-fractur signl-fractur sign(n, ℂ)) at q = 0 and the Robinson-Schensted correspondence. In: Physics and mathematics of strings, Memorial volume of V. Knizhnik, L. Brink, D. Friedan, A. M. Polyakov (eds). Singapore: World Scientific, 1990
    • (1990) Physics and Mathematics of Strings, Memorial Volume of V. Knizhnik
    • Date, E.1    Jimbo, M.2    Miwa, T.3
  • 6
    • 0030600825 scopus 로고    scopus 로고
    • Algebras, BPS states, and strings
    • 6. Harvey, J.A., Moore, G.: Algebras, BPS states, and strings. Nuclear Phys. B 463, 315-368 (1996)
    • (1996) Nuclear Phys. B , vol.463 , pp. 315-368
    • Harvey, J.A.1    Moore, G.2
  • 7
    • 49449126179 scopus 로고
    • Lie superalgebras
    • 7. Kac, V.G.: Lie superalgebras. Adv. Math. 26, 8-96 (1977)
    • (1977) Adv. Math. , vol.26 , pp. 8-96
    • Kac, V.G.1
  • 8
    • 0002956518 scopus 로고
    • Infinite dimensional algebras, Dedekind's η-function, classical Möbius function, and the very strange formula
    • 8. Kac, V.G.: Infinite dimensional algebras, Dedekind's η-function, classical Möbius function, and the very strange formula. Adv. Math. 30, 85-136 (1978)
    • (1978) Adv. Math. , vol.30 , pp. 85-136
    • Kac, V.G.1
  • 9
    • 0001117173 scopus 로고
    • Representations of classical Lie superalgebras
    • Berlin-Heidelberg-New York: Springer-Verlag
    • 9. Kac, V.G.: Representations of classical Lie superalgebras. Lecture Notes in Math. 676, Berlin-Heidelberg-New York: Springer-Verlag, 1978, pp. 597-626
    • (1978) Lecture Notes in Math. , vol.676 , pp. 597-626
    • Kac, V.G.1
  • 10
    • 0000657471 scopus 로고
    • Modular invariant representations of infinite dimensional Lie algebras and Lie superalgebras
    • 10. Kac, V.G., Wakimoto, M.: Modular invariant representations of infinite dimensional Lie algebras and Lie superalgebras. Proc. Natl. Acad. Sci. U.S.A. 85, 4956-4960 (1988)
    • (1988) Proc. Natl. Acad. Sci. U.S.A. , vol.85 , pp. 4956-4960
    • Kac, V.G.1    Wakimoto, M.2
  • 11
    • 34249963938 scopus 로고
    • Crystalizing the q-analogue of universal enveloping algebras
    • 11. Kashiwara, M.: Crystalizing the q-analogue of universal enveloping algebras. Commun. Math. Phys. 133, 249-260 (1990)
    • (1990) Commun. Math. Phys. , vol.133 , pp. 249-260
    • Kashiwara, M.1
  • 12
    • 84974000954 scopus 로고
    • On crystal bases of the q-analogue of universal enveloping algebras
    • 12. Kashiwara, M.: On crystal bases of the q-analogue of universal enveloping algebras. Duke Math. J. 63, 465-516 (1991)
    • (1991) Duke Math. J. , vol.63 , pp. 465-516
    • Kashiwara, M.1
  • 13
    • 84974002437 scopus 로고
    • The crystal base and Littelmann's refined Demazure character formula
    • 13. Kashiwara, M.: The crystal base and Littelmann's refined Demazure character formula. Duke Math. J. 71, 839-858 (1993)
    • (1993) Duke Math. J. , vol.71 , pp. 839-858
    • Kashiwara, M.1
  • 14
    • 0000871764 scopus 로고
    • Crystal graphs for representations of the q-analogue of classical Lie algebras
    • 14. Kashiwara, M., Nakashima, T.: Crystal graphs for representations of the q-analogue of classical Lie algebras. J. Algebra 165, 295-345 (1994)
    • (1994) J. Algebra , vol.165 , pp. 295-345
    • Kashiwara, M.1    Nakashima, T.2
  • 15
    • 0007225568 scopus 로고    scopus 로고
    • The Robinson-Schensted correspondence, crystal bases, and the quantum straightening at q = 0
    • Research Paper 11, approx. 24 pp. (electronic)
    • 15. Leclerc, B., Thibon, J.-Y.: The Robinson-Schensted correspondence, crystal bases, and the quantum straightening at q = 0. The Foata Festschrift. Electron. J. Combin. 3 (1996), Research Paper 11, approx. 24 pp. (electronic)
    • (1996) The Foata Festschrift. Electron. J. Combin. , vol.3
    • Leclerc, B.1    Thibon, J.-Y.2
  • 16
    • 0003326662 scopus 로고    scopus 로고
    • An analogue of jeu de taquin for Littelmann's crystal paths
    • Art. B41b, 23 pp. (electronic)
    • 16. van Leeuwen, M.A.A.: An analogue of jeu de taquin for Littelmann's crystal paths. Sem. Lothar. Combin. 41 (1998), Art. B41b, 23 pp. (electronic)
    • (1998) Sem. Lothar. Combin. , vol.41
    • Van Leeuwen, M.A.A.1
  • 17
    • 21144459584 scopus 로고
    • Crystal base and a generalization of the Littlewood-Richardson rule for classical Lie algebras
    • 17. Nakashima, T.: Crystal base and a generalization of the Littlewood-Richardson rule for classical Lie algebras. Commun. Math. Phys. 154, 215-243 (1993)
    • (1993) Commun. Math. Phys. , vol.154 , pp. 215-243
    • Nakashima, T.1
  • 18
    • 0001635024 scopus 로고
    • Representations of classical Lie superalgerbas of type I
    • 18. Penkov. I., Serganova, V.: Representations of classical Lie superalgerbas of type I. Indag. Math. (N.S.) 4, 419-466 (1992)
    • (1992) Indag. Math. (N.S.) , vol.4 , pp. 419-466
    • Penkov, I.1    Serganova, V.2
  • 19
    • 0000493643 scopus 로고
    • Generic irreducible representations of finite dimensional Lie superalgebras
    • 19. Penkov, I., Serganova, V.: Generic irreducible representations of finite dimensional Lie superalgebras. Int. J. Math. 5, 389-419 (1994)
    • (1994) Int. J. Math. , vol.5 , pp. 389-419
    • Penkov, I.1    Serganova, V.2
  • 20
    • 0000538929 scopus 로고
    • The combinatorics of (k, l)-hook Schur functions
    • 20. Remmel, J.B.: The combinatorics of (k, l)-hook Schur functions. Contemp. Math. 34, 253-287 (1984)
    • (1984) Contemp. Math. , vol.34 , pp. 253-287
    • Remmel, J.B.1
  • 22
    • 0001259916 scopus 로고
    • Longest increasing and decreasing sequences
    • 22. Schensted, C.: Longest increasing and decreasing sequences. Canad. J. Math. 13, 179-191 (1961)
    • (1961) Canad. J. Math. , vol.13 , pp. 179-191
    • Schensted, C.1
  • 23
    • 0002780902 scopus 로고
    • The theory of lie superalgebras
    • Berlin-Heidelberg-New York: Springer-Verlag
    • 23. Scheunert, M.: The Theory of Lie superalgebras. Lecture Notes in Math. 716, Berlin-Heidelberg-New York: Springer-Verlag, 1979
    • (1979) Lecture Notes in Math. , vol.716
    • Scheunert, M.1
  • 24
    • 0006661490 scopus 로고
    • La correspondence de Robinson
    • Combinatoire et Représentation de Groupe Symétrique, D. Foata ed., Berlin-Heidelberg-New York: Springer-Verlag
    • 24. Schützenberger, M.P.: La correspondence de Robinson. In: Combinatoire et Représentation de Groupe Symétrique, D. Foata ed., Lecture Notes in Math. 579, Berlin-Heidelberg-New York: Springer-Verlag, 1979, pp. 59-135
    • (1979) Lecture Notes in Math. , vol.579 , pp. 59-135
    • Schützenberger, M.P.1
  • 25
    • 0007280393 scopus 로고
    • On Schensted's construction and the multiplication of Schur functions
    • 25. Thomas, G.P.: On Schensted's construction and the multiplication of Schur functions. Adv. Math. 30, 8-32 (1978)
    • (1978) Adv. Math. , vol.30 , pp. 8-32
    • Thomas, G.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.