No CrossRef data available.
Article contents
Some remarks on symmetry for a monoidal category
Published online by Cambridge University Press: 17 April 2009
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
It is shown that, for a monoidal category V, not every commutation is a symmetry and also that a commutation does not suffice to define the tensor product A ⊗ B of V-categorles A and B. Moreover, it is shown that every symmetry can be transported along a monoidal equivalence.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1981
References
[1]Bénabou, Jean, “Algébre élémentaire dans les catégories avec multiplication”, C.R. Acad. Sci. Paris 258 (1964), 771–774.Google Scholar
[2]Eilenberg, Samuel and Kelly, G. Max, “Closed categories”, Proceedings of the Conference on Categorical Algebra, La Jolla 1965, 421–562 (Springer-Verlag, Berlin, Heidelberg, New York, 1966).CrossRefGoogle Scholar
[3]Kelly, G.M., “On MacLane's conditions for coherence of natural associativities, commutativities, etc”, J. Algebra 1 (1964), 397–402.CrossRefGoogle Scholar
[4]Kelly, G.M., “Doctrinal adjunction”, Category Seminar, 257–280 (Proc. Sydney Category Theory Seminar 1972/1973. Lecture Notes in Mathematics, 420. Springer-Verlag, Berlin, Heidelberg, New York, 1974).CrossRefGoogle Scholar
[5]Lane, S. Mac, “Natural associativity and commutativity”, Rice Univ. Studies 49 (1963), no. 4, 28–46.Google Scholar