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Volumn 265, Issue 2, 2003, Pages 690-710

G-colored partition algebras as centralizer algebras of wreath products

Author keywords

Centralizer algebra; Partition algebra; Reflection group; Wreath product

Indexed keywords


EID: 0038116377     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8693(03)00132-7     Document Type: Article
Times cited : (34)

References (12)
  • 1
    • 26344437787 scopus 로고    scopus 로고
    • Partition algebras and permutation representations of wreath products
    • Dissertation, University of Wisconsin, Madison
    • M. Bloss, Partition algebras and permutation representations of wreath products, Dissertation, University of Wisconsin, Madison, 2002.
    • (2002)
    • Bloss, M.1
  • 2
    • 0000365215 scopus 로고
    • On algebras which are connected with the semisimple continuous groups
    • R. Brauer, On algebras which are connected with the semisimple continuous groups, Ann. of Math. 38 (1937) 857-872.
    • (1937) Ann. of Math. , vol.38 , pp. 857-872
    • Brauer, R.1
  • 3
    • 0003968338 scopus 로고    scopus 로고
    • Representations and Invariants of the Classical Groups
    • Cambridge University Press, Cambridge
    • R. Goodman, N.R. Wallach, Representations and Invariants of the Classical Groups, Cambridge University Press, Cambridge, 1998.
    • (1998)
    • Goodman, R.1    Wallach, N.R.2
  • 4
    • 0035872016 scopus 로고    scopus 로고
    • Characters of the partition algebras
    • T. Halverson, Characters of the partition algebras, J. Algebra 238 (2) (2001) 502-533.
    • (2001) J. Algebra , vol.238 , Issue.2 , pp. 502-533
    • Halverson, T.1
  • 5
    • 0007042447 scopus 로고
    • The Potts model and the symmetric group
    • Subfactors: Proceedings of the Taniguchi Symposium on Operator Algebras (Kyuzeso, 1993), World Sci. Publishing, River Edge, NJ
    • V.F.R. Jones, The Potts model and the symmetric group, in: Subfactors: Proceedings of the Taniguchi Symposium on Operator Algebras (Kyuzeso, 1993), World Sci. Publishing, River Edge, NJ, 1994, pp. 259-267.
    • (1994) , pp. 259-267
    • Jones, V.F.R.1
  • 7
    • 0002033247 scopus 로고
    • Temperley-Lieb algebras for nonplanar statistical mechanics - The partition algebra construction
    • 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.1
  • 8
    • 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
  • 9
    • 84972571821 scopus 로고
    • Characters of Brauer's centralizer algebras
    • A. Ram, Characters of Brauer's centralizer algebras, Pacific J. Math. 169 (1995) 173-200.
    • (1995) Pacific J. Math. , vol.169 , pp. 173-200
    • Ram, A.1
  • 10
    • 0003417051 scopus 로고
    • Über eine Klasse von Matrizen, die sich einer gegeben Matrix zuorden lassen
    • Dissertation, Reprinted in Gessamelte Abhandlungen, 1
    • I. Schur, Über eine Klasse von Matrizen, die sich einer gegeben Matrix zuorden lassen, Dissertation, 1901. Reprinted in Gessamelte Abhandlungen, 1, pp. 1-72.
    • (1901) , pp. 1-72
    • Schur, I.1
  • 11
    • 0002969093 scopus 로고
    • Über die rationalen Darstellungen der allgemeinen linearen Gruppe, Sitzungsberichte der Königlich Preussischen Adademie der Wissenschaften zu Berlin 58-75
    • Reprinted in Gessamelte Abhandlungen, 3
    • I. Schur, Über die rationalen Darstellungen der allgemeinen linearen Gruppe, Sitzungsberichte der Königlich Preussischen Adademie der Wissenschaften zu Berlin (1927) 58-75. Reprinted in Gessamelte Abhandlungen, 3, pp. 68-85.
    • (1927) , pp. 68-85
    • Schur, I.1
  • 12
    • 0037664680 scopus 로고    scopus 로고
    • On the centralizer algebra of the unitary reflection group G(m, p, n)
    • K. Tanabe, On the centralizer algebra of the unitary reflection group G(m, p, n), Nagoya Math. J. 148 (1997) 113-126.
    • (1997) Nagoya Math. J. , vol.148 , pp. 113-126
    • Tanabe, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.