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Volumn 8, Issue 1, 2003, Pages 37-50

Adapted algebras for the Berenstein-Zelevinsky conjecture

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EID: 0037366254     PISSN: 10834362     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00031-003-1121-3     Document Type: Article
Times cited : (9)

References (26)
  • 1
    • 0035585392 scopus 로고    scopus 로고
    • Tensor product multiplicities, canonical bases and totally positive varieties
    • A. Berenstein, A. Zelevinsky, Tensor product multiplicities, canonical bases and totally positive varieties, Invent. Math. 143 (2001), no. 1, 77-128.
    • (2001) Invent. Math. , vol.143 , Issue.1 , pp. 77-128
    • Berenstein, A.1    Zelevinsky, A.2
  • 2
    • 0002139111 scopus 로고
    • r
    • I. M. Gel'fand Seminar, Part 1, Amer. Math. Soc., Providence, RI
    • r, in: I. M. Gel'fand Seminar, Adv. Soviet Math., Vol. 16, Part 1, Amer. Math. Soc., Providence, RI, 1993, 51-89.
    • (1993) Adv. Soviet Math. , vol.16 , pp. 51-89
    • Berenstein, A.1    Zelevinsky, A.2
  • 3
    • 0000062948 scopus 로고
    • Elements ad-finis de certains groupes guantiques
    • Serie I
    • P. Caldero, Elements ad-finis de certains groupes guantiques, C. R. Acad. Sci. Paris 316 (1993), Serie I, 327-329.
    • (1993) C. R. Acad. Sci. Paris , vol.316 , pp. 327-329
    • Caldero, P.1
  • 5
    • 23044519581 scopus 로고    scopus 로고
    • On the Gelfand-Kirillov conjecture for quantum algebras
    • P. Caldero, On the Gelfand-Kirillov conjecture for quantum algebras, Proc. Amer. Math. Soc. 128 (2000), 943-951.
    • (2000) Proc. Amer. Math. Soc. , vol.128 , pp. 943-951
    • Caldero, P.1
  • 6
    • 0000553666 scopus 로고    scopus 로고
    • q(n) at roots of one
    • q(n) at roots of one, J. Algebra 210 (1998), 557-576.
    • (1998) J. Algebra , vol.210 , pp. 557-576
    • Caldero, P.1
  • 7
    • 0036496538 scopus 로고    scopus 로고
    • On harmonic elements for semisimple Lie algebras
    • P. Caldero, On harmonic elements for semisimple Lie algebras, Adv. Math. 166 (2002), 73-99.
    • (2002) Adv. Math. , vol.166 , pp. 73-99
    • Caldero, P.1
  • 8
    • 0036014289 scopus 로고    scopus 로고
    • Toric degenerations of Schubert varieties
    • P. Caldero, Toric degenerations of Schubert varieties, Tranformation Groups 7 (2002), No. 1, 51-60.
    • (2002) Tranformation Groups , vol.7 , Issue.1 , pp. 51-60
    • Caldero, P.1
  • 10
    • 0001334959 scopus 로고
    • Representations of quantum groups at roots of 1
    • Colloque Dixmier, Birkhäser
    • C. De Concini, V. G. Kac, Representations of quantum groups at roots of 1, in: Colloque Dixmier, Progress in Math., Vol. 92, Birkhäser, 1990, 471-506.
    • (1990) Progress in Math. , vol.92 , pp. 471-506
    • De Concini, C.1    Kac, V.G.2
  • 11
    • 0002415212 scopus 로고
    • Quantum groups and their primitive ideals
    • Springer-Verlag
    • A. Joseph, Quantum Groups and Their Primitive Ideals, Erg. Math. Grenzg., Band 29, Springer-Verlag, 1995.
    • (1995) Erg. Math. Grenzg. , vol.29
    • Joseph, A.1
  • 15
    • 0001622147 scopus 로고
    • Some applications of quantum Weyl group
    • S. Z. Levendorskii, Y. S. Soibelman, Some applications of quantum Weyl group, J. Geom. Phys. 7 (1990), 241-254.
    • (1990) J. Geom. Phys. , vol.7 , pp. 241-254
    • Levendorskii, S.Z.1    Soibelman, Y.S.2
  • 16
    • 0000049326 scopus 로고
    • A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
    • P. Littelmann, A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras, Invent. Math. 116 (1994), 329-346.
    • (1994) Invent. Math. , vol.116 , pp. 329-346
    • Littelmann, P.1
  • 17
    • 0030602322 scopus 로고    scopus 로고
    • A plactic algebra for semisimple Lie algebras
    • P. Littelmann, A plactic algebra for semisimple Lie algebras, Adv. Math. 124 (1996), no. 2, 312-331.
    • (1996) Adv. Math. , vol.124 , Issue.2 , pp. 312-331
    • Littelmann, P.1
  • 18
    • 84968495738 scopus 로고
    • Canonical bases arising from quantized enveloping algebras
    • G. Lusztig, Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc. 3 (1990), no. 2, 447-498.
    • (1990) J. Amer. Math. Soc. , vol.3 , Issue.2 , pp. 447-498
    • Lusztig, G.1
  • 19
    • 0003360864 scopus 로고
    • Canonical bases arising from quantized enveloping algebras
    • G. Lusztig, Canonical bases arising from quantized enveloping algebras. II, Progr. Theor. Phys. Suppl. 102 (1990), 175-201.
    • (1990) II, Progr. Theor. Phys. Suppl. , vol.102 , pp. 175-201
    • Lusztig, G.1
  • 20
    • 0003361511 scopus 로고
    • Introduction to quantum groups
    • Birkhäuser
    • G. Lusztig, Introduction to Quantum Groups, Progr. Math., Vol. 110, Birkhäuser, 1993.
    • (1993) Progr. Math. , vol.110
    • Lusztig, G.1
  • 21
    • 0031475767 scopus 로고    scopus 로고
    • On the coloured graph structure of Lusztig's canonical basis
    • M. Reineke, On the coloured graph structure of Lusztig's canonical basis, Math. Ann. 307 (1997), 705-723.
    • (1997) Math. Ann. , vol.307 , pp. 705-723
    • Reineke, M.1
  • 22
    • 0032615617 scopus 로고    scopus 로고
    • Multiplicative properties of dual canonical bases of quantum groups
    • M. Reineke, Multiplicative properties of dual canonical bases of quantum groups, J. Algebra 211 (1999), 134-149.
    • (1999) J. Algebra , vol.211 , pp. 134-149
    • Reineke, M.1
  • 24
    • 0000339016 scopus 로고
    • Analogues de la forme de Killing et du théorème de Harish-Chandra pour les groupes quantiques
    • M. Rosso, Analogues de la forme de Killing et du théorème de Harish-Chandra pour les groupes quantiques, Ann. Sci. Ec. Norm. Sup. 23 (1990), 445-467.
    • (1990) Ann. Sci. Ec. Norm. Sup. , vol.23 , pp. 445-467
    • Rosso, M.1
  • 25
    • 85009571734 scopus 로고
    • PBW basis of quantized universal enveloping algebras
    • Y. Saito, PBW basis of quantized universal enveloping algebras, Publ. Res. Inst. Math. Sci. 30 (1994), 209-232.
    • (1994) Publ. Res. Inst. Math. Sci. , vol.30 , pp. 209-232
    • Saito, Y.1
  • 26
    • 0000514376 scopus 로고
    • Killing forms, Harish-Chandra isomorphisms, and universal R-matrices for quantum algebras
    • T. Tanisaki, Killing forms, Harish-Chandra isomorphisms, and universal R-matrices for quantum algebras, Int. J. Mod. Phys. A 7 (1992), Suppl. 1B, 941-961.
    • (1992) Int. J. Mod. Phys. A , vol.7 , Issue.SUPPL. 1B , pp. 941-961
    • Tanisaki, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.