Search Results - "Coquereaux, R."
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Multiplicities, Pictographs, and Volumes
Published in Physics of particles and nuclei letters (01-09-2020)“…The present contribution is the written counterpart of a talk given in Yerevan at the SQS’2019 International Workshop “Supersymmetries and Quantum Symmetries”…”
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Notes on TQFT Wire Models and Coherence Equations for SU(3) Triangular Cells
Published in Symmetry, integrability and geometry, methods and applications (01-01-2010)“…After a summary of the TQFT wire model formalism we bridge the gap from Kuperberg equations for SU(3) spiders to Ocneanu coherence equations for systems of…”
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Torus structure on graphs and twisted partition functions for minimal and affine models
Published in Journal of geometry and physics (01-12-2003)“…Using the Ocneanu quantum geometry of ADE diagrams (and of other diagrams belonging to higher Coxeter–Dynkin systems), we discuss the classification of twisted…”
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Twisted partition functions for ADE boundary conformal field theories and Ocneanu algebras of quantum symmetries
Published in Journal of geometry and physics (01-06-2002)“…For every ADE Dynkin diagram, we give a realization, in terms of usual fusion algebras (graph algebras), of the algebra of quantum symmetries described by the…”
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Quantum McKay correspondence and global dimensions for fusion and module-categories associated with Lie groups
Published in Journal of algebra (15-01-2014)“…Global dimensions for fusion categories Ak(G) defined by a pair (G,k), where G is a Lie group and k a positive integer, are expressed in terms of Lie quantum…”
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Coxeter and Dynkin Diagrams and Their Associated Twisted Partition Functions for the Virasoro Minimal Models
Published in Czechoslovak journal of physics (01-11-2004)Get full text
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Triangular Dissections, Aperiodic Tilings, and Jones Algebras
Published in Advances in applied mathematics (01-12-1995)“…The Brattelli diagram associated with a given bicolored Dynkin-Coxeter graph of type A n determines planar fractal sets obtained by infinite dissections of a…”
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Finite dimensional quantum group covariant differential calculus on a complex matrix algebra
Published in Physics letters. B (10-12-1998)“…Using the fact that the algebra M 3( C) of 3×3 complex matrices can be taken as a reduced quantum plane, we build a differential calculus Ω(S) on the quantum…”
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Hopf stars, twisted Hopf stars and scalar products on quantum spaces
Published in Journal of geometry and physics (01-11-2000)“…The properties of Hopf star operations and twisted Hopf star operations on quantum groups are discussed in relation with the theory of representations (star…”
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String structures on loop bundles
Published in Communications in mathematical physics (01-09-1989)Get full text
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Geometry of multidimensional universes
Published in Communications in mathematical physics (01-03-1983)Get full text
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Currents on Grassmann algebras
Published in Journal of geometry and physics (1995)“…We define currents on a Grassmann algebra Gr( N) with N generators as distributions on its exterior algebra (using the symmetric wedge product). We interpret…”
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Racah–Wigner quantum 6 J symbols, Ocneanu cells for A N diagrams and quantum groupoids
Published in Journal of geometry and physics (2007)“…We relate quantum 6 J symbols of various types (quantum versions of Wigner and Racah symbols) to Ocneanu cells associated with A N Dynkin diagrams. We check…”
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Global dimensions for Lie groups at level k and their conformally exceptional quantum subgroups
Published in Revista de la Unión Matemática Argentina (1968) (2010)“…We obtain formulae giving global dimensions for fusion categories defined by Lie groups G at level k and for the associated module-categories obtained via…”
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Clifford Algebras, Spinors and Fundamental Interactions: Twenty Years After
Published in Advances in applied Clifford algebras (01-01-2009)“… This is a short review of the algebraic properties of Clifford algebras and spinors. Their use in the description of fundamental physics (elementary…”
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Racah - Wigner quantum 6j Symbols, Ocneanu Cells for AN diagrams, and quantum groupoids
Published in Journal of geometry and physics (01-01-2007)“…We relate quantum 6J symbols of various types (quantum versions of Wigner and Racah symbols) to Ocneanu cells associated with AN Dynkin diagrams. We check…”
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Symmetries of Einstein-Yang-Mills fields and dimensional reduction
Published in Communications in mathematical physics (01-03-1985)Get full text
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Fermionic expansion in quantum electrodynamics
Published in Physical review. D, Particles and fields (01-01-1981)Get full text
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Extended super-Kač-Moody algebras and their super-derivation algebras
Published in Communications in mathematical physics (01-09-1990)Get full text
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Remarks on the differential envelopes of associative algebras
Published in Pacific journal of mathematics (01-04-1989)Get full text
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