Results 11 to 20 of about 5,675 (37)
"Spread" restricted Young diagrams from a 2D WZNW dynamical quantum group
, 2016 The Fock representation of the Q-operator algebra for the diagonal WZNW model on SU(n) at level k, where Q is the matrix of the 2D WZNW "zero modes" generating certain dynamical quantum group, is finite dimensional and has a natural basis labeled by su(n)
AYu Alekseev +5 more
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Noncommutative Geometry and Gravity
, 2005 We study a deformation of infinitesimal diffeomorphisms of a smooth manifold. The deformation is based on a general twist. This leads to a differential geometry on a noncommutative algebra of functions whose product is a star-product.
Aschieri, Paolo +3 more
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Quantum Dimension and Quantum Projective Spaces [PDF]
, 2014 We show that the family of spectral triples for quantum projective spaces introduced by D'Andrea and Dabrowski, which have spectral dimension equal to zero, can be reconsidered as modular spectral triples by taking into account the action of the element $
Matassa, Marco
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, 2007 Gaudin algebras form a family of maximal commutative subalgebras in the tensor product of $n$ copies of the universal enveloping algebra $U(\g)$ of a semisimple Lie algebra $\g$.
A. Ballesteros +23 more
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From Twisted Quantum Loop Algebras to Twisted Yangians [PDF]
, 2015 We prove how the Yangian of $\mathfrak{gl}_N$ in its RTT presentation and Olshanski's twisted Yangians for the orthogonal and symplectic Lie algebras can be obtained by a degeneration process from the corresponding quantum loop algebra and some of its ...
Conner, Patrick, Guay, Nicolas
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Hopf algebras and finite tensor categories in conformal field theory [PDF]
, 2010 In conformal field theory the understanding of correlation functions can be divided into two distinct conceptual levels: The analytic properties of the correlators endow the representation categories of the underlying chiral symmetry algebras with ...
Fuchs, Jurgen, Schweigert, Christoph
core
Quantum Liouville theory versus quantized Teichm\"uller spaces [PDF]
, 2002 This note announces the proof of a conjecture of H. Verlinde, according to which the spaces of Liouville conformal blocks and the Hilbert spaces from the quantization of the Teichm\"uller spaces of Riemann surfaces carry equivalent representations of the
Teschner, J.
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The Cardy-Cartan modular invariant [PDF]
, 2012 Using factorizable Hopf algebras, we construct modular invariant partition functions of charge conjugation, or Cardy, type as characters of coends in categories that share essential features with the ones appearing in logarithmic CFT. The coefficients of
Fuchs, Jurgen +2 more
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Tropicalization method in cluster algebras
, 2012 This is a brief survey on the recently developing tropicalization method in cluster algebras and its applications to the periodicities of Y-systems and the associated dilogarithm identities.Comment: 21 pages, prepared for the proceedings of "Tropical ...
Nakanishi, Tomoki
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Quantum group symmetry of integrable systems with or without boundary
, 2002 We present a construction of integrable hierarchies without or with boundary, starting from a single R-matrix, or equivalently from a ZF algebra. We give explicit expressions for the Hamiltonians and the integrals of motion of the hierarchy in term of ...
E. RAGOUCY +3 more
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