Adjoining adjoints

Advances in Mathematics

Volumn 178, Issue 1, 2003, Pages 99-140

  Dawson, Robert ^a   Paré, Robert ^b   Pronk, Dorette ^b  

^a SAINT MARY S UNIVERSITY   (Canada)

^b DALHOUSIE UNIVERSITY   (Canada)

Author keywords

2 category; Adjoint; Kauffman diagram; Localization

Indexed keywords

EID: 0042014472     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0001-8708(02)00068-3     Document Type: Article

References (12)

1. J. Bénabou, Introduction to bicategories, in: Reports of the Midwest Category Seminar, Lecture Notes in Mathematics, Vol. 40, Springer, New York, 1967, pp. 1-77.
2. A. Carboni, R.F.C. Walters, Cartesian bicategories I, JPAA 49 (1987) 11-32.
3. R.J. MacG. Dawson, R. Paré, D.A. Pronk, Undecidability and free adjoints, in: N. Callaos, F.G. Tinetti, J.M. Champarnaud, J.K. Lee (Eds.), Proceedings of the World Multiconference on Systemics, Cybernetics and Informatics 2001, Vol. XIV, International Institute of Informatics and Systemics, Orlando, 2001, pp. 156-161.
4. R.J. MacG. Dawson, R. Paré, D.A. Pronk, Undecidability of the free adjoint construction, preprint.
5. R.J. MacG. Dawson, R. Paré, D.A. Pronk, Spans and free adjoints, to appear.
6. W.G. Dwyer, D.M. Kan, Calculating simplicial localizations, JPAA 18 (1980) 17-35.
7. P. Gabriel, M. Zisman, Calculus of Fractions and Homotopy Theory, Springer, New York, 1967.
8. J.J. Graham, G.I. Lehrer, The representation theory of affine Temperley-Lieb algebras, L'Enseign. Math. (2) 44 (3-4) (1998) 173-218.
9. V.F.R. Jones, A quotient of the affine Hecke algebra in the Brauer algebra, L'Enseign. Math. 40 (1994) 313-334.
10. Z.A. Landau, Fuss-Catalan algebras and chains of intermediate subfactors, Pacific J. Math. 197 (2) (2001).
11. D.A. Pronk, Etendues and stacks as bicategories of fractions, Comput. Math. 102 (1996) 243-303.
12. S. Schanuel, R. Street, The free adjunction, Cahiers Topologie Géom. Differentielle Catégoriques 27 (1986)