Measurable categories and 2-groups

Applied Categorical Structures

Volumn 13, Issue 5-6, 2005, Pages 501-516

  Crane, Louis ^a   Yetter, David N ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

2 group; Categorial group; Measurable category; Representation

Indexed keywords

MATHEMATICAL MODELS;

2-GROUP; CATEGORICAL GROUP; MEASURABLE CATEGORY; REPRESENTATION;

QUANTUM THEORY;

EID: 29544441862     PISSN: 09272852     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10485-005-9004-5     Document Type: Article

References (10)

1. Baez, J.: Higher Yang-Mills theory, e-print, abstract and full-text links at http://www.arxiv.org/ abs/hep-th/0206130, 2002.
2. Barrett, J. W. and Crane, L.: Relativistic spin networks and quantum gravity, e-print, abstract and full-text links at http://www.arxiv.org/abs/gr- qc/9709028, 1997.
3. Barrett, J. W. and Mackaay, M.: Categorical representations of categorical groups. Privately communicated draft manuscript, 2002.
4. Brown, R. and Spencer, C. B.: Script G sign-groupoids, crossed modules and the classifying space of a topological group, Proc. Kon. Akad. v. Wet. 79 (1976), 296-302.
5. Crane L. and Sheppard, M. D.: 2-categorical Poincare representations and state sum applications, e-preprint, abstract and full-text links at http://www.arXiv.org/abs/math.QA/ 0306440, 2003.
6. Crane, L. and Yetter, D. N.: A more sensitive Lorentzian state-sum, e-print, abstract and fulltext links at http://www.arxiv.org/abs/gr-qc/0301017, 2003.
7. Eckmann, B. and Hilton, P. J.: Group-like structures in categories, Ann. Math. 145 (1962), 227-255.
8. Kapranov, M. and Voevodsky, V.: 2-categories and Zamolodchikov tetrahedra equations, in Proc. Symp. Pure Math. 56, Part 2, pp. 177-260, American Mathematical Society, 1994.
9. Yetter, D. N.: TQFTs from homotopy 2-types, J. Knot Theory Ramif. 2(1) (1993), 113-123.
10. Yetter, D. N.: Measurable categories, Appl. Categ. Structures 13(5-6) (2005).