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Volumn 354, Issue 10, 2002, Pages 3835-3853

ad-nilpotent b-Ideals in sl(n) having a fixed class of nilpotence: Combinatorics and enumeration

Author keywords

Ad nilpotent ideal; Catalan number; Chebyshev polynomial; Dyck path; Lie algebra; Order ideal

Indexed keywords


EID: 0036787940     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-02-03064-7     Document Type: Article
Times cited : (37)

References (15)
  • 1
    • 0001096078 scopus 로고    scopus 로고
    • Inversion tables and minimal left coset representatives for Weyl groups of classical type
    • MR 2002d:20060
    • P. Cellini, P. Papi, Inversion tables and minimal left coset representatives for Weyl groups of classical type, J. Pure Appl. Algebra 161 (2001), 219-234. MR 2002d:20060
    • (2001) J. Pure Appl. Algebra , vol.161 , pp. 219-234
    • Cellini, P.1    Papi, P.2
  • 2
    • 0010530929 scopus 로고    scopus 로고
    • Affine Weyl groups as infinite permutations
    • Art. #R18, MR 99d:20006
    • H. Eriksson, K. Eriksson, Affine Weyl groups as infinite permutations, Electron. J. Combin. 5 (1998), Art. #R18, 32 pp. MR 99d:20006
    • (1998) Electron. J. Combin. , vol.5 , pp. 32
    • Eriksson, H.1    Eriksson, K.2
  • 3
    • 0042309538 scopus 로고
    • Combinatorial aspects of continued fractions
    • MR 82f:05002a
    • P. Flajolet, Combinatorial aspects of continued fractions, Discrete Math. 32 (1980), 125-161. MR 82f:05002a
    • (1980) Discrete Math. , vol.32 , pp. 125-161
    • Flajolet, P.1
  • 4
    • 0000596377 scopus 로고    scopus 로고
    • A remarkable q, t-Catalan sequence and q-Lagrange inversion
    • MR 97k:05208
    • A. M. Garsia and M. Haiman, A remarkable q, t-Catalan sequence and q-Lagrange inversion, J. Alg. Combin. 5 (1996), 191-244. MR 97k:05208
    • (1996) J. Alg. Combin. , vol.5 , pp. 191-244
    • Garsia, A.M.1    Haiman, M.2
  • 6
    • 0001479424 scopus 로고
    • Eigenvalues of a Laplacian and commutative lie subalgebras
    • MR 29:4839
    • B. Kostant, Eigenvalues of a Laplacian and commutative Lie subalgebras, Topology 3, suppl. 2 (1965), 147-159. MR 29:4839
    • (1965) Topology , vol.3 , Issue.SUPPL. 2 , pp. 147-159
    • Kostant, B.1
  • 7
    • 1842690434 scopus 로고    scopus 로고
    • The set of abelian ideals of a borel subalgebra, caftan decompositions, and discrete series representations
    • MR 99c:17010
    • B. Kostant, The Set of Abelian Ideals of a Borel Subalgebra, Caftan Decompositions, and Discrete Series Representations, Internat. Math. Res. Notices 5 (1998), 225-252. MR 99c:17010
    • (1998) Internat. Math. Res. Notices , vol.5 , pp. 225-252
    • Kostant, B.1
  • 8
    • 0036086699 scopus 로고    scopus 로고
    • Enumeration of ad-nilpotent b-ideals for simple lie algebras
    • to appear
    • C. Krattenthaler, L. Orsina and P. Papi, Enumeration of ad-nilpotent b-ideals for simple Lie algebras, Adv. Appl. Math. (to appear).
    • Adv. Appl. Math.
    • Krattenthaler, C.1    Orsina, L.2    Papi, P.3
  • 9
    • 13744250787 scopus 로고
    • Some examples of square integrable representations of semisimple p-adic groups
    • MR 84j:22023
    • G. Lusztig, Some examples of square integrable representations of semisimple p-adic groups, Trans. Amer. Math. Soc. 277 (1983), 623-653. MR 84j:22023
    • (1983) Trans. Amer. Math. Soc. , vol.277 , pp. 623-653
    • Lusztig, G.1
  • 11
    • 0034654672 scopus 로고    scopus 로고
    • Enumeration of ad-nilpotent ideals of a Borel subalgebra in type A by class of nilpotence
    • MR 2001a:17012
    • L. Orsina, P. Papi, Enumeration of ad-nilpotent ideals of a Borel subalgebra in type A by class of nilpotence, Comptes Rendus Acad. Sciences Paris Ser. I Math. 330 (2000), 651-655. MR 2001a:17012
    • (2000) Comptes Rendus Acad. Sciences Paris Ser. I Math. , vol.330 , pp. 651-655
    • Orsina, L.1    Papi, P.2
  • 12
    • 0001096078 scopus 로고    scopus 로고
    • Inversion tables and minimal left coset representatives for Weyl groups of classical type
    • MR 2002d:20060
    • P. Papi, Inversion tables and minimal left coset representatives for Weyl groups of classical type, J. Pure Appl. Algebra 161 (2001), 219-234. MR 2002d:20060
    • (2001) J. Pure Appl. Algebra , vol.161 , pp. 219-234
    • Papi, P.1
  • 13
    • 0002894343 scopus 로고    scopus 로고
    • The number of ⊕-sign types
    • MR 98c:20080
    • J. Shi, The number of ⊕-sign types, Quart. J. Math. Oxford 48 (1997), 93-105. MR 98c:20080
    • (1997) Quart. J. Math. Oxford , vol.48 , pp. 93-105
    • Shi, J.1
  • 14
    • 0033229098 scopus 로고    scopus 로고
    • On two presentations of the affine Weyl groups of classical types
    • MR 2001g:20051
    • J. Shi, On two presentations of the affine Weyl groups of classical types, J. Algebra 221 (1999), 360-383. MR 2001g:20051
    • (1999) J. Algebra , vol.221 , pp. 360-383
    • Shi, J.1
  • 15
    • 0003652674 scopus 로고
    • Wadsworth and Brooks/Cole, Pacific Grove, California; reprinted by Cambridge University Press, Cambridge, MR 98a:05001
    • R. P. Stanley, Enumerative Combinatories, Vol. 1, Wadsworth and Brooks/Cole, Pacific Grove, California, 1986; reprinted by Cambridge University Press, Cambridge, 1998. MR 98a:05001
    • (1986) Enumerative Combinatories , vol.1
    • Stanley, R.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.