Conformal Field Theories and Tensor Categories: Proceedings by N. Andruskiewitsch, I. Angiono (auth.), Chengming Bai,

By N. Andruskiewitsch, I. Angiono (auth.), Chengming Bai, Jürgen Fuchs, Yi-Zhi Huang, Liang Kong, Ingo Runkel, Christoph Schweigert (eds.)

The current quantity is a suite of 7 papers which are both
based at the talks awarded on the workshop "Conformal box theories and tensor different types" held June thirteen to June 17, 2011 at the
Beijing overseas heart for Mathematical learn, Peking college, or are extensions of the fabric offered within the talks on the workshop. those papers current new advancements past
rational conformal box theories and modular tensor different types and new functions in arithmetic and physics. the subjects lined comprise tensor different types from illustration different types of Hopf algebras, purposes of conformal box theories and tensor different types to topological stages and gapped structures, logarithmic conformal box theories and the corresponding non-semisimple tensor different types, and new advancements within the illustration concept of vertex operator algebras. a few of the papers comprise particular introductory fabric that's worthy for graduate scholars and researchers trying to find an advent to those examine instructions. The papers additionally talk about fascinating fresh advancements within the zone of conformal box theories, tensor different types and their functions and should be tremendous worthwhile for researchers operating in those areas.

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61) This suggests that it may be possible to come up with a definition of “infinitevariable symmetric polynomials”. Such properly defined infinite-variable symmetric polynomials should have those amazing universal properties. The proper definition also allow us to classify infinite-variable symmetric polynomials, which will lead to a classification of FQH phases. In this section, we will first discuss an attempt to define infinite-variable symmetric polynomials through pattern of zeros. Then, we will try to provide a classification of patterns of zeros.

The dual Weyl modules. We may then go on and define good and Weyl filtrations, and tilting modules. However, it is likely that tilting modules are projective, thus with 0 quantum dimension, as is the case for G1 T , see Sect. 4 in [2], [47]. 5 Generalized Quantum Groups The next idea is to replace Γ by an infinite abelian group Q, perhaps free of finite rank, and the Nichols algebras B(V ), B(W ) by the distinguished pre-Nichols algebras B(V ), B(W ). Namely, we assume that Q is provided with elements K1 , .

4 Fractional Statistics in Laughlin States We note that the normalized state with a quasi-hole at ξ is described by an N -boson wave function parameterized by ξ : quasi-hole Ψξ = N ξ, ξ ∗ −1/2 (zi − zj )2 e− (ξ − zi ) i |zi |2 /4 (33) i

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