Groupoids and the Brauer group
Cahiers de Topologie et Géométrie Différentielle Catégoriques (2000)
- Volume: 41, Issue: 4, page 305-313
- ISSN: 1245-530X
Access Full Article
topHow to cite
topMoens, M.-A., and Vitale, E. M.. "Groupoids and the Brauer group." Cahiers de Topologie et Géométrie Différentielle Catégoriques 41.4 (2000): 305-313. <http://eudml.org/doc/91638>.
@article{Moens2000,
author = {Moens, M.-A., Vitale, E. M.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Picard-Brauer exact sequence; Brauer group; bigroupoid},
language = {eng},
number = {4},
pages = {305-313},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Groupoids and the Brauer group},
url = {http://eudml.org/doc/91638},
volume = {41},
year = {2000},
}
TY - JOUR
AU - Moens, M.-A.
AU - Vitale, E. M.
TI - Groupoids and the Brauer group
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2000
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 41
IS - 4
SP - 305
EP - 313
LA - eng
KW - Picard-Brauer exact sequence; Brauer group; bigroupoid
UR - http://eudml.org/doc/91638
ER -
References
top- [1] B. Auslander: The Brauer group of a ringed space, J. Algebra4 (1966) 220-273. Zbl0144.03401MR199213
- [2] H. Bass: Algebraic K-Theory, W.A. Benjamin Inc. (1968). Zbl0174.30302MR249491
- [3] J. Bénabou: Introduction to bicategories, Springer LNM40 (1967) 1-77. MR220789
- [4] F. Borceux: Handbook of categorical algebra, Cambridge University Press (1994). Zbl0911.18001
- [5] F. Borceux, E.M. Vitale: Azumaya categories, Applied Categorical Structures (to appear). Zbl1033.18005
- [6] S. Caenepeel: Brauer groups, Hopf algebras and Galois theory, Kluwer Academic Publishers (1998). Zbl0898.16001MR1610222
- [7] S. Caenepeel, F. Grandjean: A note on Taylor's Brauer group, Pacific J. Math.186 (1998) 13-27. Zbl0940.14011MR1665054
- [8] B. Day, R. Street: Monoidal bicategories and Hopf algebroids, Adv. Math.129 (1997) 99-157. Zbl0910.18004MR1458415
- [9] J.M. Fernandez Vilaboa, R. Gonzalez Rodriguez, E. Villanueva Novoa: The Picard-Brauer five-term exact sequence for a cocommutative finite Hopf algebra, J. Algebra186 (1996) 384-400. Zbl0870.18008
- [10] R. Gonzalez Rodriguez: La sucesion exacta..., Ph. D. Thesis, Santiago de Compostela (1994).
- [11] R. Gordon, A.J. Power, R. Street: Coherence for tricategories, Mem. Am. Math. Soc.558 (1995). Zbl0836.18001
- [12] F. Grandjean, E.M. Vitale: Morita equivalence for regular algebras, Cahier deTopologie Géomtrie Différentielle Catégoriques39(1998) 137-153. Zbl0919.16005
- [13] S. Kasangian, E.M. Vitale: Factorization systems for symmetric cat-groups, Theory and Applications of Categories7 (2000) 47-70 (available at http://www.tac.mta.ca/tac/). Zbl0964.18002
- [14] G.M. Kelly, M.L. Laplaza: Coherence for compact closed categories, J. Pure AppliedAlgebra19 (1980) 193-213. Zbl0447.18005
- [15] M.L. Laplaza: Coherence for categories with group structure: an alternative approach, J. Algebra84 (1983) 305-323. Zbl0525.18005
- [16] F.W. Long: The Brauer group of dimodule algebras, J. Algebra30 (1974) 559-601. Zbl0282.16007
- [17] B. Mitchell: Separable algebroids, Mem. Am. Math. Soc.333 (1985). Zbl0588.18007
- [18] M.-A. Moens, U. Berni-Canani, F. Borceux: On regular presheaves and regular graphs, preprint (1999). Zbl1038.18006
- [19] M.-A. Moens, F. Borceux: On Azumaya graphs, preprint (2000).
- [20] M. Orzech: Brauer groups and class groups for a Krull domain, Springer LNM917 (1982) 66-90. Zbl0492.13003
- [21] I. Raeburn, J.L. Taylor: The bigger Brauer group and étale cohomology, Pacific J. Math.119 (1985) 445-463. Zbl0596.13006
- [22] J.L. Taylor: A bigger Brauer group, Pacific J. Math.103 (1982) 162-203. Zbl0528.13007
- [23] A. Verschoren: Exact sequences for relative Brauer groups and Picard groups, J. Pure AppliedAlgebra28 (1983) 93-108. Zbl0512.13002
- [24] A. Verschoren: Brauer groups and class groups for Krull domains: A K-theoretic approach, J. Pure AppliedAlgebra33 (1984) 219-224. Zbl0564.13008
- [25] A. Verschoren: Relative invariants of sheaves, Marcel Dekker (1987). Zbl0638.14008
- [26] E.M. Vitale: The Brauer and Brauer-Taylor groups of a symmetric monoidal category, Cahier Topologie Géométrie Différentielle Catégoriques37 (1996) 91-122. Zbl0856.18007
- [27] E.M. Vitale: A Picard-Brauer exact sequence of categorical groups, preprint (2000). Zbl1055.14020
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.