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Volumn 238, Issue 2, 2001, Pages 502-533

Characters of the partition algebras

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EID: 0035872016     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.2000.8613     Document Type: Article
Times cited : (37)

References (30)
  • 1
    • 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. Math 38 (1937), 854-872.
    • (1937) Ann. Math , vol.38 , pp. 854-872
    • Brauer, R.1
  • 6
    • 85031482451 scopus 로고    scopus 로고
    • F. G. Frobenius, Über die charaktere der symmetrischen gruppe, in "Sitzungberichte der Königlich Preussischen Akademie der Wissenschaften zu Berlin, 1900," pp. 516-534; Ges. Abhandlungen, Vol. 3, pp. 335-348.
    • Ges. Abhandlungen , vol.3 , pp. 335-348
  • 7
    • 0001030792 scopus 로고
    • Characters of algebras containing a Jones basic construction: The Temperley-Lieb, Okada, Brauer, and Birman-Wenzl algebras
    • T. Halverson and A. Ram, Characters of algebras containing a Jones basic construction: The Temperley-Lieb, Okada, Brauer, and Birman-Wenzl algebras, Adv. Math. 116 (1995), 263-321.
    • (1995) Adv. Math. , vol.116 , pp. 263-321
    • Halverson, T.1    Ram, A.2
  • 10
    • 21344487038 scopus 로고
    • On an algebraic approach to higher-dimensional statistical mechanics
    • P. Martin and 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
  • 11
    • 85008522439 scopus 로고
    • Representations of graph Temperley-Lieb algebras
    • P. Martin, Representations of graph Temperley-Lieb algebras, Publ. Res. Inst. Math. Sci. 26 (1990), 485-503.
    • (1990) Publ. Res. Inst. Math. Sci. , vol.26 , pp. 485-503
    • Martin, P.1
  • 13
    • 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
  • 14
    • 0030585876 scopus 로고    scopus 로고
    • The structure of the partition algebras
    • P. Martin, The structure of the partition algebras, J. Algebra 183 (1996), 319-358.
    • (1996) J. Algebra , vol.183 , pp. 319-358
    • Martin, P.1
  • 15
    • 0003061396 scopus 로고    scopus 로고
    • The partition algebras and a new deformation of the Schur algebras
    • P. Martin and D. Woodcock, The partition algebras and a new deformation of the Schur algebras, J. Algebra 203 (1998), 91-124.
    • (1998) J. Algebra , vol.203 , pp. 91-124
    • Martin, P.1    Woodcock, D.2
  • 16
    • 0033164252 scopus 로고    scopus 로고
    • On central idempotents in the partition algebra
    • P. Martin and D. Woodcock, On central idempotents in the partition algebra, J. Algebra 217 (1999), 156-169.
    • (1999) J. Algebra , vol.217 , pp. 156-169
    • Martin, P.1    Woodcock, D.2
  • 18
    • 84975965912 scopus 로고
    • The characters of the symmetric inverse semigroup
    • W. D. Munn, The characters of the symmetric inverse semigroup, Math. Proc. Cambridge Philos. Soc. 53 (1957), 13-18.
    • (1957) Math. Proc. Cambridge Philos. Soc. , vol.53 , pp. 13-18
    • Munn, W.D.1
  • 19
    • 21944449931 scopus 로고    scopus 로고
    • Monoid Hecke algebras
    • M. Putcha, Monoid Hecke algebras, Trans. Amer. Math. Soc. 349 (1997), 3517-3534.
    • (1997) Trans. Amer. Math. Soc. , vol.349 , pp. 3517-3534
    • Putcha, M.1
  • 20
    • 0001622061 scopus 로고
    • A Frobenius formula for the characters of the Hecke algebras
    • A. Ram, A Frobenius formula for the characters of the Hecke algebras, Invent. Math. 106 (1991), 461-488.
    • (1991) Invent. Math. , vol.106 , pp. 461-488
    • Ram, A.1
  • 21
    • 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, R.1
  • 23
    • 0007150244 scopus 로고
    • reprint, Springer-Verlag, Berlin
    • I. Schur, "Über Eine Klasse von Matrixen die Sich Einer Gegebenen Matrix Zuordnen Lassen," Thesis, Berlin, 1901; reprint, in "Gesammelte Abhandlungen," Vol. I, pp. 1-70, Springer-Verlag, Berlin, 1973.
    • (1973) Gesammelte Abhandlungen , vol.1 , pp. 1-70
  • 25
    • 0003177334 scopus 로고
    • reprint, Springer-Verlag, Berlin
    • I. Schur, Über die Rationalen Darstellungen der Allgemeinen Linearen Gruppe, 1927; reprint, in "Gesammelte Abhandlungen," Vol. III, pp. 68-85, Springer-Verlag, Berlin, 1973.
    • (1973) Gesammelte Abhandlungen , vol.3 , pp. 68-85
  • 26
    • 0001877621 scopus 로고
    • The Bruhat decomposition, Tits system and Iwahori ring for the monoid of matrices over a finite field
    • L. Solomon, The Bruhat decomposition, Tits system and Iwahori ring for the monoid of matrices over a finite field, Geom. Dedicata 36 (1990), 15-49.
    • (1990) Geom. Dedicata , vol.36 , pp. 15-49
    • Solomon, L.1
  • 29
    • 0009083297 scopus 로고
    • Classical groups, their invariants and representations, 2nd ed
    • Princeton Univ. Press, Princeton
    • H. Weyl, "Classical groups, their invariants and representations," 2nd ed., Princeton Mathematical Series, Vol. 1, Princeton Univ. Press, Princeton, 1946.
    • (1946) Princeton Mathematical Series , vol.1
    • Weyl, H.1
  • 30
    • 0001346949 scopus 로고
    • On the structure of Brauer's centralizer algebras
    • H. Wenzl, On the structure of Brauer's centralizer algebras, Ann. Math. 128 (1988), 173-193.
    • (1988) Ann. Math. , vol.128 , pp. 173-193
    • Wenzl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.