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We construct a direct sum completion $\mathcal{C}_{\oplus}$ of a given braided monoidal category $\mathcal{C}$ which allows for the rigorous treatment of infinite order simple current extensions of vertex operator algebras as seen in \cite{CKL}.
1929
Earlier work this paper cites.
1931
Earlier work this paper cites.
M. Artin, A. Grothendieck, J.L. Verdier, Théorie des topos et cohomologie étale des schémas I, II, III, Lecture Notes in Mathematics, vol. 269, 270, 305, Springer, 1971
1971
Earlier work this paper cites.
N. Popescu and L. Popescu, Theory of Categories, Editura Academiei, 1979
1979
Earlier work this paper cites.
C. Dong, Vertex Algebras Associated with Even Lattices, Journal of Algebra 161 1 (1993), 245-265
1993
Earlier work this paper cites.
C. Dong, J. Lepowsky, Generalized vertex algebras and relative vertex operators, Progress in Mathematics, Birkhäuser Boston, Inc., Boston, Vol. 112, 1993
1993
Earlier work this paper cites.
Y.-Z. Huang, J. Lepowsky, Tensor products of modules for a vertex operator algebra and vertex tensor categories, Lie Theory and Geometry, in honor of Bertram Kostant, ed. R. Brylinski, J.-L. Brylinski, V. Guillemin, V. Kac, Birkh a ¨ \ddot{\text{a}} user, Boston, 1994, 349-383
1994
Earlier work this paper cites.
B. Pareigis, On Braiding and Dyslexia, Journal of Algebra, Vol. 171 2 (1995), 413-425
1995
Earlier work this paper cites.
C. Dong, H. Li, and G. Mason, Simple current extensions of vertex operator algebras, Comm. Math. Phys. 180 3 (1996), 671-707
1996
Earlier work this paper cites.
E. Frenkel, D. Ben-Zvi, Vertex Algebras and Algebraic Curves, American Mathematical Society, Mathematical Surveys and Monographs, Vol. 88, 2001
2001
Cited alongside, same era.
V. Kac and M. Wakimoto, Integrable highest weight modules over affine superalgebras and Appell’s function, Comm. Math. Phys. 215 (2001) 631-682
2001
Cited alongside, same era.
C. H. Lam, Induced modules for orbifold vertex operator algebras. J. Math. Soc. Japan 53 3 (2001), 541-557
2001
Cited alongside, same era.
A. Kirillov Jr., V. Ostrik, On a q-analogue of the McKay correspondence and the ADE classification of sl2 conformal field theories. Adv. Math. 171 (2002), no. 2, 183-227
2002
Cited alongside, same era.
C. H. Lam, N. Lam, H. Yamauchi, Extension of unitary Virasoro vertex operator algebra by a simple module. Int. Math. Res. Not. 11 (2003), 577–611
2003
A. Davydov, V. Futorny, Commutative Algebras in Drinfeld Categories of Abelian Lie Algebras, Proceedings of the Edinburgh Mathematical Society 55 (2012), 613-633
2012
Later among the works it cites.
T.Creutzig, D. Ridout, S. Wood, Coset constructions of logarithmic ( 1 , p ) (1,p) -models, Letters in Mathematical Physics 104 5 (2014), 553-583
2014
Later among the works it cites.
Y.-Z. Huang, J. Lepowsky and L. Zhang, Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules, Conformal Field Theories and Tensor Categories, Proceedings of a Workshop Held at Beijing International Center for Mathematics Research, ed. C. Bai, J. Fuchs, Y.-Z. Huang, L. Kong, I. Runkel and C. Schweigert, Mathematical Lectures from Beijing University, Vol. 2 (2014), 169-248
2014
Later among the works it cites.
P. Etingof, S. Gelaki, D. Nikshych, V. Ostrik, Tensor Categories, American Mathematical Society, Mathematical Surverys and Monographs, Vol. 205, 2015
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Cited alongside, same era.
J. Lepowsky, H. Li, Introduction to Vertex Operator Algebras and Their Representations. Birkhäuser, Boston (2003)
2003
Cited alongside, same era.
J. Fuchs, I. Runkel, C. Schweigert, TFT construction of RCFT correlators III: Simple Currents, Nucl.Phys. B694 (2004), 277-353
2004
Cited alongside, same era.
2004
Cited alongside, same era.
D. Adamović, A construction of admissible A 1 ( 1 ) A^{(1)}_{1} -modules of level − 4 3 -\frac{4}{3} , J. Pure Appl. Algebra vol.196 2-3 (2005), 119–134
2005
Cited alongside, same era.
Cited in the paper.
J. Auger, T. Creutzig, S. Kanade, M. Rupert, Semisimplification of a Category of Modules for the Logarithmic ℬ p \mathcal{B}_{p} -Algebras, in preparation
Cited in the paper.
T. Creutzig, A.M. Gainutdinov, I. Runkel, A quasi-Hopf algebra for the triplet vertex operator algebra, in preparation
Cited in the paper.
2015
Later among the works it cites.
Y.-Z. Huang, A. Kirillov Jr. J. Lepowsky, Braided tensor categories and extensions of vertex operator algebras. Comm. Math. Phys. 337 3 (2015), 1143-1159
2015
Later among the works it cites.
V. Kac, P. Möseneder Frajria, P. Papi, F. Xu, Conformal embeddings and simple current extensions, Int. Math. Res. Not. IMRN 14 (2015), 5229-5288
2015
Later among the works it cites.
D. Adamović, V. Kac, P. Möseneder Frajria, P. Papi, O. Perše, Finite vs. infinite decompositions in conformal embeddings, Comm. Math. Phys. vol. 348 2 (2016), 445–473
2016
Later among the works it cites.
T. Creutzig, W-Algebras for Argyres-Douglas Theories, Eur. J. Math. 3 (2017), 659-690
2017
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