Volume 13, Issue Supplement, August 2006, Pages 44 - 54
The graphical calculus for ribbon categories: Algebras, modules, Nakayama automorphisms
Available Online 1 August 2006.
- https://doi.org/10.2991/jnmp.2006.13.s.6How to use a DOI?
- The graphical description of morphisms in rigid monoidal categories, in particular in ribbon categories, is summarized. It is illustrated with various examples of algebraic structures in such categories, like algebras, (weak) bi-algebras, Frobenius algebras, and modules and bimodules. Nakayama automorphisms of Frobenius algebras are introduced; they are inner iff the algebra is symmetric.
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Cite this article
TY - JOUR AU - Jurgen FUCHS PY - 2006 DA - 2006/08 TI - The graphical calculus for ribbon categories: Algebras, modules, Nakayama automorphisms JO - Journal of Nonlinear Mathematical Physics SP - 44 EP - 54 VL - 13 IS - Supplement SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2006.13.s.6 DO - https://doi.org/10.2991/jnmp.2006.13.s.6 ID - FUCHS2006 ER -