Higher-dimensional algebra VI: Lie 2-algebras

Theory and Applications of Categories

Volumn 12, Issue 1, 2004, Pages 492-538

  Baez, John C ^a   Crans, Alissa S ^a  

^a NONE

Author keywords

L algebra; Lie 2 algebra; Lie algebra cohomology

Indexed keywords

EID: 18544381081     PISSN: 1201561X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. J. A. de Azcárraga, J. M. Izquierdo, and J. C. Pérez Bueno, An introduction to some novel applications of Lie algebra cohomology in mathematics and physics, available as physics/9803046.
2. J. Baez, Higher Yang-Mills Theory, available as hep-th/9808101.
3. J. Baez, Higher-dimensional algebra II: 2-Hilbert spaces, Adv. Math. 127 (1997), 125-189.
4. J. Baez and J. Dolan, Categorification, in Higher Category Theory, eds. E. Getzler and M. Kapranov, Contemporary Mathematics vol. 230, AMS, Providence. Also available as math.QA/9802029.
5. J. Baez and L. Langford, Higher-dimensional algebra IV: 2-Tangles, to appear in Adv. Math.. Also available as math.QA/9811139.
6. J. Baez and A. Lauda, Higher-dimensional algebra V: 2-groups, available as math-QA/0307200
7. J. Baez and M. Neuchl, Higher-dimensional algebra I: braided monoidal categories, Adv. Math. 121 (1996), 196-244.
8. J. Barrett and M. Mackaay, personal communication.
9. J. Birman, Braids, Links, and Mapping Class Groups, Princeton U. Press, Princeton, 1974.
10. F. Borceux, Handbook of Categorical Algebra 1: Basic Category Theory, Cambridge U. Press, Cambridge, 1994.
11. R. Brown, Groupoids and crossed objects in algebraic topology, Homology, Homotopy and Applications 1 (1999), 1-78. Available at: http://www.math.rutgers. edu/hha/volumes/1999/volume1-1.htm
12. R. Brown and P. Higgins, Cubical abelian groups with connections are equivalent to chain complexes, Homology, Homotopy and Applications, 5 (2003), 49-52.
13. R. Brown and C. B. Spencer, script G sign-groupoids, crossed modules, and the classifying space of a topological group, Proc. Kon. Akad. v. Wet. 79 (1976), 296-302.
14. G. Burde and H. Zieschang, Knots, Walter de Gruyter, New York, 1985.
15. J. S. Carter and M. Saito, Knotted Surfaces and Their Diagrams, American Mathematical Society, Providence, 1998.
16. S. Crans, Generalized centers of braided and sylleptic monoidal 2-categories, Adv. Math. 136 (1998), 183-223.
17. B. Day and R. Street, Monoidal bicategories and Hopf algebroids, Adv. Math. 129 (1997), 99-157.
18. C. Ehresmann, Categories structurees, Ann. Ec. Normale Sup. 80 (1963).
19. C. Ehresmann, Categories structurees III: Quintettes et applications covariantes, Cahiers Top. et GD V (1963).
20. C. Ehresmann, Introduction to the theory of structured categories, Technical Report Univ. of Kansas at Lawrence (1966).
21. A. Grothendieck, Categories Cofibrees Additives et Complexe Cotangent Relatif, Lecture Notes in Math. 79, Springer-Verlag, New York, 1968.
22. M. Kapranov and V. Voevodsky, 2-Categories and Zamolodchikov tetrahedra equations, in Proc. Symp. Pure Math. 56 Part 2 (1994), AMS, Providence, pp. 177-260.
23. T. Lada and M. Markl, Strongly homotopy Lie algebras, Comm. Alg. 23(6) (1995), 2147-2161. Also available as hep-th/9406095.
24. T. Lada and J. Stasheff, Introduction to sh Lie algebras for physicists, Int. Jour. Theor. Phys. 32(7) (1993), 1087-1103. Also available as hep-th/9209099.
25. R. Lawrence, Triangulation, categories and extended field theories, in Quantum Topology, eds. R. Baadhio and L. Kauffman, World Scientific, Singapore, 1993, pp. 191-208.
26. S. Mac Lane, Categories for the Working Mathematician, 2nd edition, Springer, Berlin, 1998.
27. K. Mackenzie, Lie Groupoids and Lie Algebroids in Differential Geometry, London Math. Society Lecture Notes 124, Cambridge U. Press, Cambridge, 1987.
28. M. Markl, Homotopy algebras via resolutions of operads, available as math. AT/9808101.
29. M. Markl, S. Schnider and J. Stasheff, Operads in Algebra, Topology and Physics, AMS, Providence, Rhode Island, 2002.
30. ∞ algebras and their cohomology, available as q-alg/9512014.
31. M. Schlessinger and J. Stasheff, The Lie algebra structure of tangent cohomology and deformation theory, Jour. Pure App. Alg. 38 (1985), 313-322.