메뉴 건너뛰기




Volumn 32, Issue 10, 1999, Pages 1919-1936

Hecke algebra representations within Clifford geometric algebras of multivectors

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033548307     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/10/010     Document Type: Article
Times cited : (9)

References (68)
  • 3
  • 4
    • 0040323775 scopus 로고
    • qg and the Yang-Baxter equation
    • qg and the Yang-Baxter equation Lett. Math. Phys. 10 63-9
    • (1985) Lett. Math. Phys. , vol.10 , pp. 63-69
    • Jimbo, M.1
  • 5
    • 0004089001 scopus 로고
    • Cambridge: Cambridge University Press
    • Abe E 1980 Hopf Algebras (Cambridge: Cambridge University Press)
    • (1980) Hopf Algebras
    • Abe, E.1
  • 9
    • 0000942205 scopus 로고
    • Theory of braids
    • Artin E 1947 Theory of braids Ann. Math. 48 101-26
    • (1947) Ann. Math. , vol.48 , pp. 101-126
    • Artin, E.1
  • 10
    • 0009152012 scopus 로고
    • Statistical mechanics of a one-dimensional Coulomb system with a uniform charge background
    • Baxter R J 1963 Statistical mechanics of a one-dimensional Coulomb system with a uniform charge background Proc. Camb. Phil. Soc. 59 779-87
    • (1963) Proc. Camb. Phil. Soc. , vol.59 , pp. 779-787
    • Baxter, R.J.1
  • 11
    • 36149022411 scopus 로고
    • The spontaneous magnetization of a two-dimensional Ising model
    • Yang C N 1952 The spontaneous magnetization of a two-dimensional Ising model Phys. Rev. 85 808-16
    • (1952) Phys. Rev. , vol.85 , pp. 808-816
    • Yang, C.N.1
  • 14
    • 0021422438 scopus 로고
    • Eight-vertex SOS model and generalized Rogers-Rananujan-type identities
    • Andrews G E, Baxter R J and Forrester P J 1984 Eight-vertex SOS model and generalized Rogers-Rananujan-type identities J. Stat. Phys. 35 193-266
    • (1984) J. Stat. Phys. , vol.35 , pp. 193-266
    • Andrews, G.E.1    Baxter, R.J.2    Forrester, P.J.3
  • 16
    • 33947716431 scopus 로고
    • Beitrag zur theorie des ferromagnetismus
    • Ising E 1925 Beitrag zur theorie des ferromagnetismus Z. Phys. 31 253-8
    • (1925) Z. Phys. , vol.31 , pp. 253-258
    • Ising, E.1
  • 17
    • 84926736518 scopus 로고
    • Some generalized order-disorder transformations
    • Potts R B 1952 Some generalized order-disorder transformations Proc. Camb. Phil. Soc. 48 106-9
    • (1952) Proc. Camb. Phil. Soc. , vol.48 , pp. 106-109
    • Potts, R.B.1
  • 20
    • 0041044972 scopus 로고    scopus 로고
    • Etiology of IRF modeles
    • Pasquire V 1998 Etiology of IRF modeles Comm. Math. Phys. 118 335-64
    • (1998) Comm. Math. Phys. , vol.118 , pp. 335-364
    • Pasquire, V.1
  • 22
    • 0010806038 scopus 로고
    • Index for subfactors
    • Jones V F R 1983 Index for subfactors Inv. Math. 72 1-25
    • (1983) Inv. Math. , vol.72 , pp. 1-25
    • Jones, V.F.R.1
  • 23
    • 84968518084 scopus 로고
    • A polynomial invariant for knots via von Neumann algebras
    • Jones V F R 1985 A polynomial invariant for knots via von Neumann algebras Bull. Am. Math. Soc. 12 103-11
    • (1985) Bull. Am. Math. Soc. , vol.12 , pp. 103-111
    • Jones, V.F.R.1
  • 25
    • 0001102503 scopus 로고
    • The Conway polynomial
    • Kauffmann L H 1981 The Conway polynomial Topology 20 101-8
    • (1981) Topology , vol.20 , pp. 101-108
    • Kauffmann, L.H.1
  • 37
    • 0002478005 scopus 로고    scopus 로고
    • Clifford algebraic remark on the Mandelbrot set of two-component number systems
    • Fauser B 1996 Clifford algebraic remark on the Mandelbrot set of two-component number systems Adv. Appl. Clifford Alg. 6 1-26
    • (1996) Adv. Appl. Clifford Alg. , vol.6 , pp. 1-26
    • Fauser, B.1
  • 38
    • 0040450989 scopus 로고    scopus 로고
    • Preprint hep-th/9507133
    • (Fauser B Preprint hep-th/9507133)
    • Fauser, B.1
  • 42
  • 44
    • 0032329625 scopus 로고    scopus 로고
    • On an easy transition from operator dynamics to generating functional by Clifford algebras
    • Fauser B 1998 On an easy transition from operator dynamics to generating functional by Clifford algebras J. Math. Phys. 39 4928-47
    • (1998) J. Math. Phys. , vol.39 , pp. 4928-4947
    • Fauser, B.1
  • 45
    • 0039266269 scopus 로고    scopus 로고
    • Preprint hep-th/9710186
    • (Fauser B Preprint hep-th/9710186)
    • Fauser, B.1
  • 46
    • 0003043790 scopus 로고    scopus 로고
    • On Clifford algebras of a bilinear form with an antisymmetric part
    • ed R Ablamowicz, P Lounesto and J M Parra (Boston: Birkhäuser)
    • Ablamowicz R and Lounesto P 1996 On Clifford algebras of a bilinear form with an antisymmetric part Clifford Algebras with Numeric and Symbolic Computations ed R Ablamowicz, P Lounesto and J M Parra (Boston: Birkhäuser) pp 167-88
    • (1996) Clifford Algebras with Numeric and Symbolic Computations , pp. 167-188
    • Ablamowicz, R.1    Lounesto, P.2
  • 47
    • 0003679678 scopus 로고
    • Orthogonal and symplectic Clifford algebras, spinor structures
    • Dordrecht: Kluwer
    • Crumeyrolle A 1990 Orthogonal and symplectic Clifford algebras, spinor structures Mathematics and its Applications (Dordrecht: Kluwer)
    • (1990) Mathematics and Its Applications
    • Crumeyrolle, A.1
  • 48
    • 0030541778 scopus 로고    scopus 로고
    • Vertex normal ordering as a consequence of nonsymmetric bilinearforms in Clifford algebras
    • Fauser B 1996 Vertex normal ordering as a consequence of nonsymmetric bilinearforms in Clifford algebras J. Math. Phys. 37:72-83
    • (1996) J. Math. Phys. , vol.37 , pp. 72-83
    • Fauser, B.1
  • 49
    • 0041044970 scopus 로고    scopus 로고
    • Preprint hep-th/9504055
    • (Fauser B Preprint hep-th/9504055)
    • Fauser, B.1
  • 53
    • 34250096712 scopus 로고
    • n and subfactors
    • n and subfactors Invent. Math. 92 349-83
    • (1988) Invent. Math. , vol.92 , pp. 349-383
    • Wenzl, H.1
  • 59
    • 0041044969 scopus 로고    scopus 로고
    • On the relation of Clifford-Lipschitz groups to q-symmetric groups
    • ed S P Corney, R Delbourgo and P D Jarvis (Cambridge, MA: International Press)
    • Fauser B 1999 On the relation of Clifford-Lipschitz groups to q-symmetric groups Group22: Proc. XXII Int. Colloquium on Grp. Theor. Meth. in Phys. (Hobart, Tasmania, 1998) ed S P Corney, R Delbourgo and P D Jarvis (Cambridge, MA: International Press)
    • (1999) Group22: Proc. XXII Int. Colloquium on Grp. Theor. Meth. in Phys. (Hobart, Tasmania, 1998)
    • Fauser, B.1
  • 61
    • 0039857964 scopus 로고    scopus 로고
    • private communications
    • Jarvis P D 1998 private communications
    • (1998)
    • Jarvis, P.D.1
  • 62
    • 0040363237 scopus 로고
    • A new tableau representation for supersymmetric Schur functions
    • Goulden I and Greene C 1994 A new tableau representation for supersymmetric Schur functions J. Alg. 170 687-703
    • (1994) J. Alg. , vol.170 , pp. 687-703
    • Goulden, I.1    Greene, C.2
  • 65
    • 0000660863 scopus 로고
    • 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 1971 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. R. Soc. A 322 251-80
    • (1971) Proc. R. Soc. A , vol.322 , pp. 251-280
    • Temperley, H.N.V.1    Lieb, E.H.2
  • 66
    • 0039137144 scopus 로고
    • Temperley-Lieb algebras and the long distance properties of statistical mechanical models
    • Martin P P 1990 Temperley-Lieb algebras and the long distance properties of statistical mechanical models J. Phys. A: Math. Gen. 23 7-30
    • (1990) J. Phys. A: Math. Gen. , vol.23 , pp. 7-30
    • Martin, P.P.1
  • 67
    • 0011706725 scopus 로고
    • String like lattice models and Hecke algebras
    • Martin P P 1989 String like lattice models and Hecke algebras J. Phys. A: Math. Gen. 22 3103-12
    • (1989) J. Phys. A: Math. Gen. , vol.22 , pp. 3103-3112
    • Martin, P.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.