On Braiding and Dyslexia

✍ Scribed by B. Pareigis

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 488 KB
• Volume: 171
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1995.1019

✦ Synopsis

Braided monoidal categories have important applications in knot theory, algebraic quantum field theory, and the theory of quantum groups and Hopf algebras. We will construct a new class of braided monoidal categories. Typical examples of braided monoidal categories are the category of modules over a quasitriangular Hopf algebra and the category of comodules over a coquasitriangular Hopf algebra. We consider the notion of a commutative algebra (A) in such a category. The category of (left and/or right) (\boldsymbol{A})-modules with the tensor product over (\boldsymbol{A}) is again a monoidal category which is not necessarily braided. However, if we restrict this category to a special class of modules which we call dyslectic then this new category of dyslectic (A)-modules turns out to be a braided monoidal category, too, and it is a coreflexive subcategory of all (A)-modules. 1945 Academic Press. Inc.