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Volumn 119, Issue 1, 1999, Pages 99-109

Partition Algebras are Cellular

Author keywords

Brauer algebras; Cellular algebras; Irreducible modules; Partition algebras; Quasi hereditary algebras; Symmetric groups

Indexed keywords


EID: 0001914243     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (100)

References (15)
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    • Cline, E., Parshall, B. and Scott, L.: Finite dimensional algebras and highest weight categories, J. reine angew. Math. 391 (1988), 85-99.
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    • Cline, E.1    Parshall, B.2    Scott, L.3
  • 4
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    • Representations of Hecke algebras and general linear groups
    • Dipper, R. and James, C. M.: Representations of Hecke algebras and general linear groups, Proc. London Math. Soc. (3) 52 (1986), 20-52.
    • (1986) Proc. London Math. Soc. (3) , vol.52 , pp. 20-52
    • Dipper, R.1    James, C.M.2
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    • Quasi-hereditary algebras
    • Dlab, V. and Ringel, C. M.: Quasi-hereditary algebras, Illinois J. Math. 33 (1989), 280-291.
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  • 7
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    • Hanlon, P.1    Wales, D.2
  • 8
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    • James, G.D.1    Kerber, A.2
  • 10
    • 0010539895 scopus 로고    scopus 로고
    • Celular algebras: Inflations and Morita equivalences
    • König, S. and Xi, C. C.: Celular algebras: inflations and Morita equivalences (to appear in J. London Math. Soc.).
    • J. London Math. Soc.
    • König, S.1    Xi, C.C.2
  • 11
    • 0002033247 scopus 로고
    • Temperley-Lieb algebras for nonplanar statistic mechanics - The partition algebra construction
    • Martin, P.: Temperley-Lieb algebras for nonplanar statistic mechanics - The partition algebra construction, J. Knot Theory Ramifications 3(1) (1991), 51-82.
    • (1991) J. Knot Theory Ramifications , vol.3 , Issue.1 , pp. 51-82
    • Martin, P.1
  • 12
    • 0030585876 scopus 로고    scopus 로고
    • The structure of the partition algebras
    • Martin, P.: The structure of the partition algebras, J. Algebra 183 (1996), 319-358.
    • (1996) J. Algebra , vol.183 , pp. 319-358
    • Martin, P.1
  • 13
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    • Martin, P.1    Saleur, H.2
  • 14
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    • Algebras in higher-dimensional statistical mechanics - The exceptional partition (mean field) algebras
    • Martin, P. and Saleur, H.: Algebras in higher-dimensional statistical mechanics - the exceptional partition (mean field) algebras, Lett. Math. Phys. 30 (1994), 179-185.
    • (1994) Lett. Math. Phys. , vol.30 , pp. 179-185
    • Martin, P.1    Saleur, H.2
  • 15
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    • Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices; some exact results for the 'percolation' problem
    • Temperley, H. N. V. and Lieb, E. H.: Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices; some exact results for the 'percolation' problem, Proc. Roy. Soc. (London) Ser. A. 322 (1971), 25-280.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.