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Volumn 11, Issue 3, 1998, Pages 551-567

Contracting modules and standard monomial theory for symmetrizable Kac-Moody algebras

Author keywords

Path model; Quantum Frobenius map; Standard monomial theory

Indexed keywords


EID: 0032396410     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0894-0347-98-00268-9     Document Type: Article
Times cited : (80)

References (20)
  • 1
    • 0031138598 scopus 로고    scopus 로고
    • Combinatorial results on Demazure modules
    • MR 98c:17006
    • R. Dehy, Combinatorial results on Demazure modules, C. R. Acad. Sci. Paris Sér. I Math. 324 (1997), 977-980. MR 98c:17006
    • (1997) C. R. Acad. Sci. Paris Sér. I Math. , vol.324 , pp. 977-980
    • Dehy, R.1
  • 2
    • 0002677383 scopus 로고
    • Désingularisations des variétés de Schubert généralisées
    • MR 50:7174
    • M. Demazure, Désingularisations des variétés de Schubert généralisées, Ann. Sc. Ec. Norm. Sup. 7 (1974), 53-88. MR 50:7174
    • (1974) Ann. Sc. Ec. Norm. Sup. , vol.7 , pp. 53-88
    • Demazure, M.1
  • 3
    • 0002646556 scopus 로고    scopus 로고
    • Degenerations of flag and Schubert varieties to toric varieties
    • MR 98a:14065
    • Gonciulea, N., Lakshmibai, V., Degenerations of flag and Schubert varieties to toric varieties, Transform. Groups 1 (1996), 215-248. MR 98a:14065
    • (1996) Transform. Groups , vol.1 , pp. 215-248
    • Gonciulea, N.1    Lakshmibai, V.2
  • 4
    • 0000779232 scopus 로고    scopus 로고
    • Similarity of crystal bases
    • MR 97g:17013
    • M. Kashiwara, Similarity of crystal bases, Contemp. Math. 194 (1996), 177-186. MR 97g:17013
    • (1996) Contemp. Math. , vol.194 , pp. 177-186
    • Kashiwara, M.1
  • 5
    • 84974004121 scopus 로고
    • Crystal bases of modified quantized enveloping algebras
    • MR 95c:17024
    • M. Kashiwara, Crystal bases of modified quantized enveloping algebras, Duke Math. J. 73 (1994), 383-414. MR 95c:17024
    • (1994) Duke Math. J. , vol.73 , pp. 383-414
    • Kashiwara, M.1
  • 6
    • 0000369545 scopus 로고
    • Demazure character formula in arbitrary Kac-Moody setting
    • MR 88i:17018
    • S. Kumar, Demazure character formula in arbitrary Kac-Moody setting, Invent. Math. 89 (1987), 395-423. MR 88i:17018
    • (1987) Invent. Math. , vol.89 , pp. 395-423
    • Kumar, S.1
  • 7
    • 0000730723 scopus 로고
    • Tangent spaces to Schubert varieties
    • MR 96k:14039
    • V. Lakshmibai, Tangent spaces to Schubert varieties, Math. Res. Lett. 2 (1995), 473-477. MR 96k:14039
    • (1995) Math. Res. Lett. , vol.2 , pp. 473-477
    • Lakshmibai, V.1
  • 8
    • 0010628194 scopus 로고
    • Bases for quantum Demazure modules II
    • Algebraic groups and their generalizations: quantum and infinite-dimensional methods, MR 97e:17022
    • V. Lakshmibai, Bases for quantum Demazure modules II, Algebraic groups and their generalizations: quantum and infinite-dimensional methods, Proc. Sympos. Pure Math., vol. 56, 1994, pp. 149-168. MR 97e:17022
    • (1994) Proc. Sympos. Pure Math. , vol.56 , pp. 149-168
    • Lakshmibai, V.1
  • 9
    • 0001562483 scopus 로고
    • Geometry of G/P V
    • MR 87k:14059
    • V. Lakshmibai and C. S. Seshadri, Geometry of G/P V, J. Algebra 100 (1986), 462-557. MR 87k:14059
    • (1986) J. Algebra , vol.100 , pp. 462-557
    • Lakshmibai, V.1    Seshadri, C.S.2
  • 11
    • 0000049326 scopus 로고
    • A Littlewood-Richardson formula for symmetrizable Kac-Moody algebras
    • MR 95f:17023
    • P. Littelmann, A Littlewood-Richardson formula for symmetrizable Kac-Moody algebras, Invent. Math. 116 (1994), 329-346. MR 95f:17023
    • (1994) Invent. Math. , vol.116 , pp. 329-346
    • Littelmann, P.1
  • 12
    • 21844525391 scopus 로고
    • Paths and root operators in representation theory
    • MR 96m:17011
    • P. Littelmann, Paths and root operators in representation theory, Ann. Math. 142 (1995), 499-525. MR 96m:17011
    • (1995) Ann. Math. , vol.142 , pp. 499-525
    • Littelmann, P.1
  • 13
    • 0030602322 scopus 로고    scopus 로고
    • A plactic algebra for semisimple Lie algebras
    • MR 98c:17009
    • P. Littelmann, A plactic algebra for semisimple Lie algebras, Adv. Math 124 (1996), 312-331. MR 98c:17009
    • (1996) Adv. Math , vol.124 , pp. 312-331
    • Littelmann, P.1
  • 14
    • 0348113065 scopus 로고
    • Good filtrations and decomposition rules for representations with standard monomial theory
    • MR 94a:20072
    • P. Littelmann, Good filtrations and decomposition rules for representations with standard monomial theory, J. Reine Angew. Math. 433 (1992), 161-180. MR 94a:20072
    • (1992) J. Reine Angew. Math. , vol.433 , pp. 161-180
    • Littelmann, P.1
  • 16
    • 0002059889 scopus 로고
    • Construction d'un groupe de Kac-Moody et applications
    • MR 90f:17012
    • O. Mathieu, Construction d'un groupe de Kac-Moody et applications, Compos. Math. 69 (1989), 37-60. MR 90f:17012
    • (1989) Compos. Math. , vol.69 , pp. 37-60
    • Mathieu, O.1
  • 17
    • 0000340130 scopus 로고
    • Schubert varieties in G/B × G/B
    • MR 89k:14090
    • V. B. Mehta, A. Ramanathan, Schubert varieties in G/B × G/B, Comp. Math. 67 (1988), 355-358. MR 89k:14090
    • (1988) Comp. Math. , vol.67 , pp. 355-358
    • Mehta, V.B.1    Ramanathan, A.2
  • 18
    • 51649152643 scopus 로고
    • Equations defining Schubert varieties and Frobenius splitting of diagonals
    • MR 88k:14032
    • A. Ramanathan, Equations defining Schubert varieties and Frobenius splitting of diagonals, J. Publ. Math. Inst. Hautes Etud. Sci. 65 (1987), 61-90. MR 88k:14032
    • (1987) J. Publ. Math. Inst. Hautes Etud. Sci. , vol.65 , pp. 61-90
    • Ramanathan, A.1
  • 19
    • 0002106331 scopus 로고
    • Projective normality of flag varieties and Schubert varieties
    • MR 86j:14051
    • S. Ramanan, A. Ramanathan, Projective normality of flag varieties and Schubert varieties, Invent. Math. 79 (1985), 217-224. MR 86j:14051
    • (1985) Invent. Math. , vol.79 , pp. 217-224
    • Ramanan, S.1    Ramanathan, A.2
  • 20
    • 0346852476 scopus 로고    scopus 로고
    • Monomial bases for representations of classical semisimple Lie algebras
    • to appear
    • K. N. Raghavan, P. Sankaran, Monomial bases for representations of classical semisimple Lie algebras, J. Trans. Groups (to appear).
    • J. Trans. Groups
    • Raghavan, K.N.1    Sankaran, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.