메뉴 건너뛰기




Volumn 119, Issue 2, 2003, Pages 221-260

Puzzles and (equivariant) cohomology of Grassmannians

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0141792377     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-03-11922-5     Document Type: Article
Times cited : (177)

References (16)
  • 1
    • 0001753198 scopus 로고
    • Cohomologie T-equivariante de G/B pour un groupe G de Kac-Moody
    • [A]. MR 87h:32062
    • [A] A. ARABIA, Cohomologie T-equivariante de G/B pour un groupe G de Kac-Moody, C. R. Acad. Sci. Paris Sér. I Math. 302 (1986), 631 -634. MR 87h:32062
    • (1986) C. R. Acad. Sci. Paris Sér. I Math. , vol.302 , pp. 631-634
    • Arabia, A.1
  • 2
    • 0000501399 scopus 로고
    • Some properties of the decompositions of algebraic varieties determined by actions of a torus
    • [BB]. MR 56:12020
    • [BB] A. BIALYNICKI-BIRULA, Some properties of the decompositions of algebraic varieties determined by actions of a torus, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 24 (1976), 667-674. MR 56:12020
    • (1976) Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. , vol.24 , pp. 667-674
    • Bialynicki-Birula, A.1
  • 3
    • 0002438119 scopus 로고    scopus 로고
    • The Saturation conjecture (after A. Knutson and T. Tao)
    • [B1], with an appendix by William Fulton. MR 2001g:05105
    • [B1] A. BUCH, The Saturation conjecture (after A. Knutson and T. Tao), with an appendix by William Fulton, Enseign. Math. (2) 46 (2000), 43-60. MR 2001g:05105
    • (2000) Enseign. Math. (2) , vol.46 , pp. 43-60
    • Buch, A.1
  • 4
    • 0036435116 scopus 로고    scopus 로고
    • A Littlewood-Richardson rule for the K-theory of Grassmannians
    • [B2]. CMP 1 946 917
    • [B2] _, A Littlewood-Richardson rule for the K-theory of Grassmannians, Acta Math. 189 (2002), 37-78. CMP 1 946 917
    • (2002) Acta Math. , vol.189 , pp. 37-78
  • 5
    • 0002677383 scopus 로고
    • Désingularisation des variétés de Schubert généralisées
    • [D] Collection of Articles Dedicated to Henri Cartan on the Occasion of His 70th Birthday, Gauthier-Villars, Paris. MR 50:7174
    • [D] M. DEMAZURE, "Désingularisation des variétés de Schubert généralisées" in Collection of Articles Dedicated to Henri Cartan on the Occasion of His 70th Birthday, Ann. Sci. École Norm. Sup. (4) 7, Gauthier-Villars, Paris, 1974, 53-88. MR 50:7174
    • (1974) Ann. Sci. École Norm. Sup. (4) , vol.7 , pp. 53-88
    • Demazure, M.1
  • 6
    • 0003251542 scopus 로고    scopus 로고
    • Young Tableaux: With Applications to Representation Theory and Geometry
    • [F], Cambridge Univ. Press, Cambridge. MR 99f:05119
    • [F] W. FULTON, Young Tableaux: With Applications to Representation Theory and Geometry, London Math. Soc. Student Texts 35, Cambridge Univ. Press, Cambridge, 1997. MR 99f:05119
    • (1997) London Math. Soc. Student Texts , vol.35
    • Fulton, W.1
  • 7
    • 0032345036 scopus 로고    scopus 로고
    • Equivariant cohomology, Koszul duality, and the localization theorem
    • [GKM]. MR 99c:55009
    • [GKM] M. GORESKY, R. KOTTWITZ, and R. MACPHERSON, Equivariant cohomology, Koszul duality, and the localization theorem, Invent. Math. 131 (1998), 25-83. MR 99c:55009
    • (1998) Invent. Math. , vol.131 , pp. 25-83
    • Goresky, M.1    Kottwitz, R.2    Macpherson, R.3
  • 8
    • 0000323832 scopus 로고    scopus 로고
    • Positivity in equivariant Schubert calculus
    • [G]. MR 2002h:14083
    • [G] W. GRAHAM, Positivity in equivariant Schubert calculus. Duke Math. J. 109 (2001), 599-614. MR 2002h:14083
    • (2001) Duke Math. J. , vol.109 , pp. 599-614
    • Graham, W.1
  • 9
    • 0002174279 scopus 로고    scopus 로고
    • Equivariant de Rham theory and graphs
    • [GZ] Sir Michael Atiyah: A Great Mathematician of the Twentieth Century, Internat. Press, Somerville, Mass. MR 2001g:58033
    • [GZ] V. GUILLEMIN and C. ZARA, "Equivariant de Rham theory and graphs" in Sir Michael Atiyah: A Great Mathematician of the Twentieth Century, Asian J. Math. 3, Internat. Press, Somerville, Mass., 1999, 49-76. MR 2001g:58033
    • (1999) Asian J. Math. , vol.3 , pp. 49-76
    • Guillemin, V.1    Zara, C.2
  • 10
    • 0033423661 scopus 로고    scopus 로고
    • The honeycomb model of GL(n) tensor products, I: Proof of the saturation conjecture
    • [KT]. MR 2000c:20066
    • [KT] A. KNUTSON and T. TAO, The honeycomb model of GL(n) tensor products, I: Proof of the saturation conjecture, J. Amer. Math. Soc. 12 (1999), 1055-1090. MR 2000c:20066
    • (1999) J. Amer. Math. Soc. , vol.12 , pp. 1055-1090
    • Knutson, A.1    Tao, T.2
  • 11
    • 0141429543 scopus 로고    scopus 로고
    • The honeycomb model of GL(n) tensor products, II: Puzzles determine facets of the L-R cone
    • [KTW], preprint, arXiv:math.CO/0107011
    • [KTW] A. KNUTSON, T. TAO, and C. WOODWARD, The honeycomb model of GL(n) tensor products, II: Puzzles determine facets of the L-R cone, to appear in J. Amer. Math. Soc., preprint, arXiv:math.CO/0107011
    • J. Amer. Math. Soc.
    • Knutson, A.1    Tao, T.2    Woodward, C.3
  • 12
    • 0000551452 scopus 로고
    • The nil Hecke ring and cohomology of G/P for a Kac-Moody group G
    • [KK]. MR 88b:17025
    • [KK] B. KOSTANT and S. KUMAR, The nil Hecke ring and cohomology of G/P for a Kac-Moody group G, Adv. in Math. 62 (1986), 187-237. MR 88b:17025
    • (1986) Adv. in Math. , vol.62 , pp. 187-237
    • Kostant, B.1    Kumar, S.2
  • 13
    • 0009124475 scopus 로고
    • Interpolation de Newton à plusieurs variables
    • [LS] Séminaire d'algèbre Paul Dubreil et Marie-Paule Malliavin, 36ème année (Paris, 1983-1984), Springer, Berlin. MR 88h:05020
    • [LS] A. LASCOUX and M.-P. SCHÜTZENBERGER, "Interpolation de Newton à plusieurs variables" in Séminaire d'algèbre Paul Dubreil et Marie-Paule Malliavin, 36ème année (Paris, 1983-1984), Lecture Notes in Math. 1146, Springer, Berlin, 1985, 161-175. MR 88h:05020
    • (1985) Lecture Notes in Math. , vol.1146 , pp. 161-175
    • Lascoux, A.1    Schützenberger, M.P.2
  • 14
    • 22844455379 scopus 로고    scopus 로고
    • A Littlewood-Richardson rule for factorial Schur functions
    • [MS], MR 2000a:05212
    • [MS] A. I. MOLEV and B. E. SAGAN, A Littlewood-Richardson rule for factorial Schur functions, Trans. Amer. Math. Soc. 351 (1999), 4429-4443. MR 2000a:05212
    • (1999) Trans. Amer. Math. Soc. , vol.351 , pp. 4429-4443
    • Molev, A.I.1    Sagan, B.E.2
  • 15
    • 0002979621 scopus 로고    scopus 로고
    • Quantum immanants and higher Capelli identities
    • [O]. MR 97j:17010
    • [O] A. OKOUNKOV, Quantum immanants and higher Capelli identities, Transform. Groups 1 (1996), 99-126. MR 97j:17010
    • (1996) Transform. Groups , vol.1 , pp. 99-126
    • Okounkov, A.1
  • 16
    • 0036501484 scopus 로고    scopus 로고
    • n(ℂ)/B)
    • [R]. MR 2003b:14065
    • n(ℂ)/B), J. Algebra 249 (2002), 38-58. MR 2003b:14065
    • (2002) J. Algebra , vol.249 , pp. 38-58
    • Robinson, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.