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Volumn 252, Issue 1, 2002, Pages 27-64

Tabular algebras and their asymptotic versions

Author keywords

Cellular algebra; Hypergroup; Table algebra

Indexed keywords


EID: 0036622287     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(02)00002-9     Document Type: Article
Times cited : (15)

References (30)
  • 1
    • 0000988279 scopus 로고
    • On table algebras and applications to finite group theory
    • Z. Arad, H.I. Blau, On table algebras and applications to finite group theory, J. Algebra 138 (1991) 137-185.
    • (1991) J. Algebra , vol.138 , pp. 137-185
    • Arad, Z.1    Blau, H.I.2
  • 2
    • 0003573612 scopus 로고
    • Algebraic Combinatorics I: Association Schemes
    • Benjamin-Cummings, Menlo Park, CA
    • E. Bannai, T. Ito, Algebraic Combinatorics I: Association Schemes, Benjamin-Cummings, Menlo Park, CA, 1984.
    • (1984)
    • Bannai, E.1    Ito, T.2
  • 3
    • 0002450607 scopus 로고
    • Über den Dualitätsatz der Charaktere nichtcommutativer Gruppen
    • Y. Kawada, Über den Dualitätsatz der Charaktere nichtcommutativer Gruppen, Proc. Phys. Math. Soc. Japan 24 (1942) 97-109.
    • (1942) Proc. Phys. Math. Soc. Japan , vol.24 , pp. 97-109
    • Kawada, Y.1
  • 4
    • 0002910784 scopus 로고
    • 1 factors, their bimodules and hypergroups
    • 1 factors, their bimodules and hypergroups, Trans. Amer. Math. Soc. 330 (1992) 227-256.
    • (1992) Trans. Amer. Math. Soc , vol.330 , pp. 227-256
    • Sunder, V.S.1
  • 6
    • 0003087030 scopus 로고
    • Reduction of a graph to a canonical form and an algebra which appears in the process
    • A.A. Lehman, B. Yu. Weisfeiler, Reduction of a graph to a canonical form and an algebra which appears in the process, Nauchno-Techn. Inform. Ser. 2 9 (1968) 12-16.
    • (1968) Nauchno-Techn. Inform. Ser , vol.2-9 , pp. 12-16
    • Lehman, A.A.1    Weisfeiler, B.Yu.2
  • 7
    • 0000399235 scopus 로고
    • Cells in affine Weyl groups
    • Adv. Studies Pure Math. North-Holland and Kinokuniya, Amsterdam and Tokyo
    • G. Lusztig, Cells in affine Weyl groups, in: Algebraic Groups and Related Topics, Adv. Studies Pure Math., Vol. 6, North-Holland and Kinokuniya, Amsterdam and Tokyo, 1985, pp. 255-287.
    • (1985) Algebraic Groups and Related Topics , vol.6 , pp. 255-287
    • Lusztig, G.1
  • 8
    • 0000047154 scopus 로고
    • Cells in affine Weyl groups, II
    • G. Lusztig, Cells in affine Weyl groups, II, J. Algebra 109 (1987) 536-548.
    • (1987) J. Algebra , vol.109 , pp. 536-548
    • Lusztig, G.1
  • 9
    • 0001465699 scopus 로고
    • Cells in affine Weyl groups, III
    • G. Lusztig, Cells in affine Weyl groups, III, J. Fac. Sci. Tokyo Univ. (IA) 34 (1987) 223-243.
    • (1987) J. Fac. Sci. Tokyo Univ. (IA) , vol.34 , pp. 223-243
    • Lusztig, G.1
  • 10
    • 0000401806 scopus 로고
    • Cells in affine Weyl groups, IV
    • G. Lusztig, Cells in affine Weyl groups, IV, J. Fac. Sci. Tokyo Univ. (IA) 36 (1989) 297-328.
    • (1989) J. Fac. Sci. Tokyo Univ. (IA) , vol.36 , pp. 297-328
    • Lusztig, G.1
  • 11
    • 0000296568 scopus 로고
    • Quantum groups at v = ∞
    • G. Lusztig, Quantum groups at v = ∞, Progr. Math. 131 (1995) 199-221.
    • (1995) Progr. Math , vol.131 , pp. 199-221
    • Lusztig, G.1
  • 12
    • 0033244188 scopus 로고    scopus 로고
    • Canonical bases for Hecke algebra quotients
    • R.M. Green, J. Losonczy, Canonical bases for Hecke algebra quotients, Math. Res. Lett. 6 (1999) 213-222.
    • (1999) Math. Res. Lett , vol.6 , pp. 213-222
    • Green, R.M.1    Losonczy, J.2
  • 14
    • 0033416626 scopus 로고    scopus 로고
    • Completions of cellular algebras
    • R.M. Green, Completions of cellular algebras, Comm. Algebra 27 (1999) 5349-5366.
    • (1999) Comm. Algebra , vol.27 , pp. 5349-5366
    • Green, R.M.1
  • 15
    • 0000324076 scopus 로고    scopus 로고
    • On the structure of cellular algebras
    • CMS Conference Proceedings
    • S. König, C.C. Xi, On the structure of cellular algebras, in: Algebras and Modules II, CMS Conference Proceedings, Vol. 24, 1998, pp. 365-386.
    • (1998) Algebras and Modules II , vol.24 , pp. 365-386
    • König, S.1    Xi, C.C.2
  • 16
    • 0010539895 scopus 로고    scopus 로고
    • Cellular algebras: Inflations and Morita equivalences
    • S. König, C.C. Xi, Cellular algebras: inflations and Morita equivalences, J. London Math. Soc. 60 (1999) 700-722.
    • (1999) J. London Math. Soc , vol.60 , pp. 700-722
    • König, S.1    Xi, C.C.2
  • 17
    • 0002033247 scopus 로고
    • Temperley-Lieb algebras for nonplanar statistical mechanics - The partition algebra construction
    • P.P. Martin, Temperley-Lieb algebras for nonplanar statistical mechanics - the partition algebra construction, J. Knot Theory Ramifications 3 (1994) 51-82.
    • (1994) J. Knot Theory Ramifications , vol.3 , pp. 51-82
    • Martin, P.P.1
  • 18
    • 0001914243 scopus 로고    scopus 로고
    • Partition algebras are cellular
    • C.C. Xi, Partition algebras are cellular, Compositio Math. 119 (1999) 99-109.
    • (1999) Compositio Math , vol.119 , pp. 99-109
    • Xi, C.C.1
  • 19
  • 20
    • 0002858140 scopus 로고
    • A quotient of the affine Hecke algebra in the Brauer algebra
    • V.F.R. Jones, A quotient of the affine Hecke algebra in the Brauer algebra, Enseign. Math. 40 (1994) 313-344.
    • (1994) Enseign. Math , vol.40 , pp. 313-344
    • Jones, V.F.R.1
  • 21
    • 34250264460 scopus 로고
    • Representations of Coxeter groups and Hecke algebras
    • D. Kazhdan, G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979) 165-184.
    • (1979) Invent. Math , vol.53 , pp. 165-184
    • Kazhdan, D.1    Lusztig, G.2
  • 22
    • 0031542982 scopus 로고    scopus 로고
    • Structure of a Hecke algebra quotient
    • C.K. Fan, Structure of a Hecke algebra quotient, J. Amer. Math. Soc. 10 (1997) 139-167.
    • (1997) J. Amer. Math. Soc , vol.10 , pp. 139-167
    • Fan, C.K.1
  • 23
    • 0003464310 scopus 로고
    • Modular representations of Hecke algebras and related algebras
    • Ph.D. thesis, University of Sydney
    • J.J. Graham, Modular representations of Hecke algebras and related algebras, Ph.D. thesis, University of Sydney, 1995.
    • (1995)
    • Graham, J.J.1
  • 24
    • 0035894731 scopus 로고    scopus 로고
    • Decorated tangles and canonical bases
    • R.M. Green, Decorated tangles and canonical bases, J. Algebra 246 (2001) 594-628.
    • (2001) J. Algebra , vol.246 , pp. 594-628
    • Green, R.M.1
  • 25
    • 0032390316 scopus 로고    scopus 로고
    • Generalized Temperley-Lieb algebras and decorated tangles
    • R.M. Green, Generalized Temperley-Lieb algebras and decorated tangles, J. Knot Theory Ramifications 7 (1998) 155-171.
    • (1998) J. Knot Theory Ramifications , vol.7 , pp. 155-171
    • Green, R.M.1
  • 26
    • 21344487038 scopus 로고
    • On an algebraic approach to higher dimensional statistical mechanics
    • P. Martin, H. Saleur, On an algebraic approach to higher dimensional statistical mechanics, Comm. Math. Phys. 158 (1993) 155-190.
    • (1993) Comm. Math. Phys , vol.158 , pp. 155-190
    • Martin, P.1    Saleur, H.2
  • 27
    • 0010540129 scopus 로고    scopus 로고
    • On representations of affine Temperley-Lieb algebras
    • CMS Conference Proceedings
    • R.M. Green, On representations of affine Temperley-Lieb algebras, in: Algebras and Modules II, CMS Conference Proceedings, Vol. 24, 1998, pp. 245-261.
    • (1998) Algebras and Modules II , vol.24 , pp. 245-261
    • Green, R.M.1
  • 28
    • 0010571931 scopus 로고    scopus 로고
    • On representations of affine Temperley-Lieb algebras, II
    • K. Erdmann, R.M. Green, On representations of affine Temperley-Lieb algebras, II, Pacific J. Math. 191 (1999) 243-273.
    • (1999) Pacific J. Math , vol.191 , pp. 243-273
    • Erdmann, K.1    Green, R.M.2
  • 29
    • 0010571814 scopus 로고    scopus 로고
    • The representation theory of affine Temperley-Lieb algebras
    • J.J. Graham, G.I. Lehrer, The representation theory of affine Temperley-Lieb algebras, Enseign. Math. 44 (1998) 173-218.
    • (1998) Enseign. Math , vol.44 , pp. 173-218
    • Graham, J.J.1    Lehrer, G.I.2
  • 30
    • 0000578205 scopus 로고    scopus 로고
    • On the affine Temperley-Lieb algebras
    • C.K. Fan, R.M. Green, On the affine Temperley-Lieb algebras, J. London Math. Soc. 60 (1999) 366-380.
    • (1999) J. London Math. Soc , vol.60 , pp. 366-380
    • Fan, C.K.1    Green, R.M.2


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