메뉴 건너뛰기




Volumn 258, Issue 1, 2002, Pages 112-121

Ad-nilpotent ideals of a Borel subalgebra II

Author keywords

Ad nilpotent ideal; Affine Weyl group; Hyperplane arrangement; Lie algebra; Order ideal; Weyl group

Indexed keywords


EID: 0036958675     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(02)00532-X     Document Type: Article
Times cited : (63)

References (16)
  • 1
    • 0012674905 scopus 로고    scopus 로고
    • On noncrossing and nonnesting partitions for classical reflection groups
    • #R42
    • C.A. Athanasiadis, On noncrossing and nonnesting partitions for classical reflection groups, Electron. J. Combin. 5 (1998) #R42.
    • (1998) Electron. J. Combin. , vol.5
    • Athanasiadis, C.A.1
  • 2
    • 0002832034 scopus 로고    scopus 로고
    • Deformations of Coxeter hyperplane arrangements and their characteristic polynomials
    • M. Falk, H. Terao (Eds.), Arrangements, Tokyo, 1998
    • C.A. Athanasiadis, Deformations of Coxeter hyperplane arrangements and their characteristic polynomials, in: M. Falk, H. Terao (Eds.), Arrangements, Tokyo, 1998, in: Adv. Stud. Pure Math., Vol. 27, 2000.
    • (2000) Adv. Stud. Pure Math. , vol.27
    • Athanasiadis, C.A.1
  • 3
    • 0004115280 scopus 로고
    • Groupes et algèbres de Lie
    • Hermann, Paris
    • N. Bourbaki, Groupes et algèbres de Lie, Hermann, Paris, 1968.
    • (1968)
    • Bourbaki, N.1
  • 4
    • 0034148469 scopus 로고    scopus 로고
    • ad-nilpotent ideals of a Borel subalgebra
    • P. Cellini, P. Papi, ad-nilpotent ideals of a Borel subalgebra, J. Algebra 225 (2000) 130-141.
    • (2000) J. Algebra , vol.225 , pp. 130-141
    • Cellini, P.1    Papi, P.2
  • 5
    • 0012624006 scopus 로고    scopus 로고
    • ad-nilpotent ideals of a Borel subalgebra III
    • in preparation
    • P. Cellini, P. Papi, ad-nilpotent ideals of a Borel subalgebra III, in preparation.
    • Cellini, P.1    Papi, P.2
  • 6
    • 0002141663 scopus 로고
    • Conjectures on the quotient ring by diagonal invariants
    • M. Haiman, Conjectures on the quotient ring by diagonal invariants, J. Algebraic Combin. 3 (1994) 17-76.
    • (1994) J. Algebraic Combin. , vol.3 , pp. 17-76
    • Haiman, M.1
  • 9
    • 51249164397 scopus 로고
    • On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups
    • N. Iwahori, H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Inst. Hautes Études Sci. Publ. Math. 25 (1965) 5-48.
    • (1965) Inst. Hautes Études Sci. Publ. Math. , vol.25 , pp. 5-48
    • Iwahori, N.1    Matsumoto, H.2
  • 10
    • 0001479424 scopus 로고
    • Eigenvalues of a Laplacian and commutative Lie subalgebras
    • B. Kostant, Eigenvalues of a Laplacian and commutative Lie subalgebras, Topology 3 (Suppl. 2) (1965) 147-159.
    • (1965) Topology , vol.3 , Issue.SUPPL. 2 , pp. 147-159
    • Kostant, B.1
  • 11
    • 1842690434 scopus 로고    scopus 로고
    • The set of Abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations
    • B. Kostant, The set of Abelian ideals of a Borel subalgebra, Cartan decompositions, and discrete series representations, Internat. Math. Res. Notices 5 (1998) 225-252.
    • (1998) Internat. Math. Res. Notices , vol.5 , pp. 225-252
    • Kostant, B.1
  • 12
    • 0036086699 scopus 로고    scopus 로고
    • Enumeration of ad-nilpotent b-ideals for simple Lie algebras
    • C. Krattenthaler, L. Orsina, P. Papi, Enumeration of ad-nilpotent b-ideals for simple Lie algebras, Adv. Appl. Math. 28 (2002) 478-522.
    • (2002) Adv. Appl. Math. , vol.28 , pp. 478-522
    • Krattenthaler, C.1    Orsina, L.2    Papi, P.3
  • 13
    • 0035837702 scopus 로고    scopus 로고
    • Spherical orbits and abelian ideals
    • D. Panyushev, G. Röhrle, Spherical orbits and abelian ideals, Adv. Math. 159 (2001) 229-246.
    • (2001) Adv. Math. , vol.159 , pp. 229-246
    • Panyushev, D.1    Röhrle, G.2
  • 14
    • 0001135742 scopus 로고    scopus 로고
    • Non-crossing partitions for classical reflection groups
    • V. Reiner, Non-crossing partitions for classical reflection groups, Discrete Math. 177 (1997) 195-222.
    • (1997) Discrete Math. , vol.177 , pp. 195-222
    • Reiner, V.1
  • 15
    • 0002894343 scopus 로고    scopus 로고
    • The number of ⊕-sign types
    • J. Shi, The number of (⊕-sign types, Quart. J. Math. Oxford 48 (1997) 93-105.
    • (1997) Quart. J. Math. Oxford , vol.48 , pp. 93-105
    • Shi, J.1
  • 16
    • 0031325536 scopus 로고    scopus 로고
    • A family of affine Weyl group representations
    • E. Sommers, A family of affine Weyl group representations, Transform. Groups 2 (1997) 375-390.
    • (1997) Transform. Groups , vol.2 , pp. 375-390
    • Sommers, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.