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Can I read Quantum Groups and Representations of Monoidal Categories on EtoBox?
Quantum Groups and Representations of Monoidal Categories by David N. Yettera is a Mathematics article available to read on EtoBox.
What is Quantum Groups and Representations of Monoidal Categories about?
This paper is intended to make explicit some aspects of the interactions which have recently come to light between the theory of classical knots and links, the theory of monoidal categories, Hopf-algebra theory, quantum integrable systems, the theory of exactly solvable models in statistical mechanics, and quantum field theories. The main results herein show an intimate relation between representations of certain monoidal categories arising from the study of new knot invariants or from physical considerations and quantum groups (that is, Hopf algebras). In particular categories of modules and comodules over Hopf algebras would seem to be much more fundamental examples of monoidal categories than might at first be apparent. This fundamental role of Hopf algebras in monoidal categories theory is also manifest in the Tannaka duality theory of Deligne and Mime [8a], although the relationship of that result and the present work is less clear than might be hoped.
Who reads Quantum Groups and Representations of Monoidal Categories?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- David N. Yettera
- Publisher
- Cambridge University Press (CUP)
- Published
- 1990
- Language
- EN
- Field
- Mathematics (Physical Sciences)