메뉴 건너뛰기




Volumn 5, Issue 3, 2000, Pages 245-264

LS algebras and application to Schubert varieties

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034345630     PISSN: 10834362     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01679715     Document Type: Article
Times cited : (41)

References (26)
  • 1
    • 33646886315 scopus 로고
    • Shellable and Cohen-Macaulay partially ordered sets
    • A. Björner, Shellable and Cohen-Macaulay partially ordered sets, Trans. A.M.S. 1 (1980), no. 1, 159-183.
    • (1980) Trans. A.M.S. , vol.1 , Issue.1 , pp. 159-183
    • Björner, A.1
  • 2
    • 0002592084 scopus 로고
    • Bruhat order of Coxeter groups and shellability
    • A. Björner, M. Wachs, Bruhat order of Coxeter groups and shellability, Advances in Math. 43 (1982), 87-100.
    • (1982) Advances in Math. , vol.43 , pp. 87-100
    • Björner, A.1    Wachs, M.2
  • 4
    • 0001834026 scopus 로고
    • Sur les décompositions cellulaires des espaces G/B
    • Algebraic Groups and their Generalizations: Classical Methods
    • C. Chevalley, Sur les décompositions cellulaires des espaces G/B, in Algebraic Groups and their Generalizations: Classical Methods, Proc. Sympos. Pure Math. 56 (1991), Part 1, 1-23.
    • (1991) Proc. Sympos. Pure Math. , vol.56 , Issue.PART 1 , pp. 1-23
    • Chevalley, C.1
  • 5
    • 0001153043 scopus 로고
    • Young diagrams and determinantal varieties
    • C. De Concini, D. Eisenbud, C. Procesi, Young diagrams and determinantal varieties, Inv. Math. 56 (1980), 129-165.
    • (1980) Inv. Math. , vol.56 , pp. 129-165
    • De Concini, C.1    Eisenbud, D.2    Procesi, C.3
  • 7
    • 0001506680 scopus 로고
    • Arithmetic Cohen-Macaulayness and arithmetic normality for Schubert varieties
    • C. De Concini, V. Lakshmibai, Arithmetic Cohen-Macaulayness and arithmetic normality for Schubert varieties, Amer. J. Math. 103 (1981), 835-850.
    • (1981) Amer. J. Math. , vol.103 , pp. 835-850
    • De Concini, C.1    Lakshmibai, V.2
  • 8
    • 0000628354 scopus 로고
    • A characteristic-free approach to invariant theory
    • C. De Concini, C. Procesi, A characteristic-free approach to invariant theory, Advances in Math. 21 (1976), 330-354.
    • (1976) Advances in Math. , vol.21 , pp. 330-354
    • De Concini, C.1    Procesi, C.2
  • 9
    • 0001140517 scopus 로고    scopus 로고
    • Combinatorial results on Demazure modules
    • R. Dehy, Combinatorial results on Demazure modules, J. of Algebra 205 (1998), 505-524.
    • (1998) J. of Algebra , vol.205 , pp. 505-524
    • Dehy, R.1
  • 13
    • 0002646556 scopus 로고    scopus 로고
    • Degenerations of flag and Schubert varieties to toric varieties
    • N. Gonciulea, V. Lakshmibai, Degenerations of flag and Schubert varieties to toric varieties, Transformation Groups 1 (1996), no. 3, 215-248.
    • (1996) Transformation Groups , vol.1 , Issue.3 , pp. 215-248
    • Gonciulea, N.1    Lakshmibai, V.2
  • 14
    • 0002660945 scopus 로고
    • Some enumerative results in the theory of forms
    • W. V. D. Hodge, Some enumerative results in the theory of forms, Proc. Cam. Phil. Soc. 39 (1943), 22-30.
    • (1943) Proc. Cam. Phil. Soc. , vol.39 , pp. 22-30
    • Hodge, W.V.D.1
  • 18
    • 0000049326 scopus 로고
    • A Littelwood-Richardson formula for symmetrizable Kac-Moody algebras
    • P. Littelmann, A Littelwood-Richardson formula for symmetrizable Kac-Moody algebras, Invent. Math. 116 (1994), 329-346.
    • (1994) Invent. Math. , vol.116 , pp. 329-346
    • Littelmann, P.1
  • 19
    • 21844525391 scopus 로고
    • Paths and root operators in representation theory
    • P. Littelmann, Paths and root operators in representation theory, Ann. Math. 142 (1995), 299-525.
    • (1995) Ann. Math. , vol.142 , pp. 299-525
    • Littelmann, P.1
  • 20
    • 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), 312-331.
    • (1996) Adv. Math. , vol.124 , pp. 312-331
    • Littelmann, P.1
  • 21
    • 0002652806 scopus 로고    scopus 로고
    • Characters of representations and paths in Heng hooktop sign*
    • T. N. Bailey, A. W. Knapp, Amer. Math. Soc., RI
    • P. Littelmann, Characters of representations and paths in Heng hooktop sign*, in Representation Theory and Automorphic Forms, T. N. Bailey, A. W. Knapp, Amer. Math. Soc., RI, 1997, 29-49.
    • (1997) Representation Theory and Automorphic Forms , pp. 29-49
    • Littelmann, P.1
  • 22
    • 0032396410 scopus 로고    scopus 로고
    • Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras
    • P. Littelmann, Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras, Jour. Amer. Math. Soc. 11 (1998), no. 3, 551-567.
    • (1998) Jour. Amer. Math. Soc. , vol.11 , Issue.3 , pp. 551-567
    • Littelmann, P.1
  • 23
    • 0001206418 scopus 로고
    • Postulation formula for Schubert varieties
    • C. Musili, Postulation formula for Schubert varieties, J. Ind. Math. Soc. 36 (1972), 143-171.
    • (1972) J. Ind. Math. Soc. , vol.36 , pp. 143-171
    • Musili, C.1
  • 24
    • 0000990686 scopus 로고
    • Multi-cones over Schubert varieties
    • G. R. Kempf, and A. Ramanathan, Multi-cones over Schubert varieties, Inv. Math. 87 (1987), 353-363.
    • (1987) Inv. Math. , vol.87 , pp. 353-363
    • Kempf, G.R.1    Ramanathan, A.2
  • 25
    • 0002302028 scopus 로고
    • Cohen-Macaulay quotients of polynomial rings
    • G. A. Reisner, Cohen-Macaulay quotients of polynomial rings, Advances in Math. 21 (1976), 30-49.
    • (1976) Advances in Math. , vol.21 , pp. 30-49
    • Reisner, G.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.