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On fusion algebras and modular matrices
 Commun. Math. Phys
, 1999
"... Abstract: We consider the fusion algebras arising in e.g. WessZuminoWitten conformal field theories, affine KacMoody algebras at positive integer level, and quantum groups at roots of unity. Using properties of the modular matrix S, we find small sets of primary fields (equivalently, sets of high ..."
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Cited by 8 (3 self)
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Abstract: We consider the fusion algebras arising in e.g. WessZuminoWitten conformal field theories, affine KacMoody algebras at positive integer level, and quantum groups at roots of unity. Using properties of the modular matrix S, we find small sets of primary fields (equivalently, sets
Fusion Algebras Induced by Representations of the Modular
 Group, Int. Jour. Mod. Phys. A
, 1993
"... Using the representation theory of the subgroups SL2(ZZp) of the modular group we investigate the induced fusion algebras in some simple examples. Only some of these representations lead to ’good ’ fusion algebras. Furthermore, the conformal dimensions and the central charge of the corresponding rat ..."
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Cited by 10 (6 self)
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Using the representation theory of the subgroups SL2(ZZp) of the modular group we investigate the induced fusion algebras in some simple examples. Only some of these representations lead to ’good ’ fusion algebras. Furthermore, the conformal dimensions and the central charge of the corresponding
On the classification of modular fusion algebras
 623 [hepth/9408160]; Ph.D. thesis (Bonn
, 1995
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Fusion algebras of logarithmic minimal models
 J. Phys. A40
"... We present explicit conjectures for the chiral fusion algebras of the logarithmic minimal models LM(p,p ′ ) considering Virasoro representations with no enlarged or extended symmetry algebra. The generators of fusion are countably infinite in number but the ensuing fusion rules are quasirational in ..."
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Cited by 30 (16 self)
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We present explicit conjectures for the chiral fusion algebras of the logarithmic minimal models LM(p,p ′ ) considering Virasoro representations with no enlarged or extended symmetry algebra. The generators of fusion are countably infinite in number but the ensuing fusion rules are quasi
Fusion Algebras for N=1. . .
"... 0.72> Quantum Gravity in two dimensions, Mod. Phys. Lett. A 2, (1987), 893898. [Ray] Ray U., A Characterization of Lie superalgebras for a certain class of graded Lie superalgebras, preprint,to appear in Jour. Alg. [RW] RochaCaridi A. and Wallach N.R., Highest weight modules over graded Lie alg ..."
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algebras: resolutions, filtrations and character formulas, Trans. Amer. Math. Soc. 20, (1983), 133162. [TUY] Tsuchiya A., Ueno K. and Yamada Y., Conformal field theory on moduli family of stable curves with gauge symmetry, in Integrable systems in quantum field theory and statistical mechanics, Adv. Stud
FUSION ALGEBRAS WITH NEGATIVE STRUCTURE CONSTANTS
, 704
"... Abstract. We introduce fusion algebras with not necessarily positive structure constants and without identity element. We prove that they are semisimple when tensored with C and that their characters satisfy orthogonality relations. Then we define the proper notion of subrings and factor rings for s ..."
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Abstract. We introduce fusion algebras with not necessarily positive structure constants and without identity element. We prove that they are semisimple when tensored with C and that their characters satisfy orthogonality relations. Then we define the proper notion of subrings and factor rings
Wextended fusion algebra of critical percolation
 J. Phys. A: Math. Theor
"... We present an explicit conjecture for the chiral fusion algebra of critical percolation considering Virasoro representations with no enlarged or extended symmetry algebra. The representations we take to generate fusion are countably infinite in number. The ensuing fusion rules are quasirational in ..."
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Cited by 37 (13 self)
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We present an explicit conjecture for the chiral fusion algebra of critical percolation considering Virasoro representations with no enlarged or extended symmetry algebra. The representations we take to generate fusion are countably infinite in number. The ensuing fusion rules are quasi
FUSION ALGEBRAS FOR IMPRIMITIVE COMPLEX REFLECTION GROUPS
, 2006
"... Abstract. We prove that the Fourier matrices for the imprimitive complex reflection groups introduced by Malle in [9] define fusion algebras with not necessarily positive but integer structure constants. Hence they define Zalgebras. As a result, we obtain that all known Fourier matrices belonging t ..."
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Cited by 1 (1 self)
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Abstract. We prove that the Fourier matrices for the imprimitive complex reflection groups introduced by Malle in [9] define fusion algebras with not necessarily positive but integer structure constants. Hence they define Zalgebras. As a result, we obtain that all known Fourier matrices belonging
INTEGRABILITY AND FUSION ALGEBRA FOR QUANTUM MAPPINGS
, 1992
"... We apply the fusion procedure to a quantum YangBaxter algebra associated with timediscrete integrable systems, notably integrable quantum mappings. We present a general construction of higherorder quantum invariants for these systems. As an important class of examples, we present the YangBaxter ..."
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We apply the fusion procedure to a quantum YangBaxter algebra associated with timediscrete integrable systems, notably integrable quantum mappings. We present a general construction of higherorder quantum invariants for these systems. As an important class of examples, we present the Yang
Results 1  10
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27,763