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

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 set 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 middle for Mathematical study, Peking collage, or are extensions of the fabric provided within the talks on the workshop. those papers current new advancements past
rational conformal box theories and modular tensor different types and new purposes in arithmetic and physics. the themes coated contain tensor different types from illustration different types of Hopf algebras, purposes of conformal box theories and tensor different types to topological levels and gapped structures, logarithmic conformal box theories and the corresponding non-semisimple tensor different types, and new advancements within the illustration thought of vertex operator algebras. many of the papers comprise distinctive introductory fabric that's valuable for graduate scholars and researchers searching for an creation to those examine instructions. The papers additionally talk about interesting contemporary advancements within the region of conformal box theories, tensor different types and their functions and should be tremendous precious for researchers operating in those areas.

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Extra resources for Conformal Field Theories and Tensor Categories: Proceedings of a Workshop Held at Beijing International Center for Mathematical Research

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The modules (λ), resp. ∇(λ), are called the Weyl modules, resp. 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 ).

I. V. was partially supported by CONICET, FONCyT-ANPCyT and Secyt (UNC). T. was partially supported by MTM 2011-27090, Ministerio de Educación y Ciencia (España) and the project FQM 3128 from Junta Andalucía (FEDER). We thank Olivier Mathieu for a course on tilting modules given at the University of Córdoba in November 2009; and also Alain Bruguières, Flavio Coelho, Juan Cuadra, Michael Müger, Dmitri Nikschych, Claus Ringel and Yorck Sommerhäuser for very useful conversations. We are also grateful the referee for her/his gentle comments.

ZN ) = −m2 = e−βVξ with ln |zi − zj | − m i

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