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We construct log-modular quantum groups at even order roots of unity, both as finite-dimensional ribbon quasi-Hopf algebras and as finite ribbon tensor categories, via a de-equivariantization procedure.
Y.-Z. Huang, J. Lepowsky, and L. Zhang · 1931
Earlier work this paper cites.
A correspondence between Hopf ideals and sub-Hopf algebras
M. Takeuchi · 1972
Earlier work this paper cites.
Morita Theorems for categories of comodules
M. Takeuchi · 1977
Earlier work this paper cites.
Relative Hopf modules–equivalences and freeness criteria
M. Takeuchi · 1979
Earlier work this paper cites.
Modular representations and quantum groups
G. Lusztig · 1989
Earlier work this paper cites.
Quantization of the Drinfeld-Sokolov reduction
B. Feigin and E. Frenkel · 1990
Earlier work this paper cites.
Finite dimensional Hopf algebras arising from quantized universal enveloping algebras
G. Lusztig · 1990
Earlier work this paper cites.
Quantum groups at roots of 1
G. Lusztig · 1990
Earlier work this paper cites.
Representations of quantum algebras
H. H. Andersen, P. Polo, and W. Kexin · 1991
Earlier work this paper cites.
Extended conformal algebras generated by a multiplet of primary fields
H. G. Kausch · 1991
Earlier work this paper cites.
Injective modules for quantum algebras
H. H. Andersen, P. Polo, and W. Kexin · 1992
Earlier work this paper cites.
Tannaka duality for arbitrary Hopf algebras
P. Schauenburg · 1992
Earlier work this paper cites.
Introduction to Quantum Groups
G. Lusztig · 1993
Earlier work this paper cites.
Hopf algebras and their actions on rings
S. Montgomery · 1993
Earlier work this paper cites.
Quantum function algebra at roots of 1 1
C. De Concini and V. Lyubashenko · 1994
Earlier work this paper cites.
Crystal bases of modified quantized enveloping algebra
M. Kashiwara · 1994
Earlier work this paper cites.
Faithful flatness of Hopf algebras
A. Masuoka and D. Wigner · 1994
Earlier work this paper cites.
Fusion categories arising from semisimple Lie algebras
H. H. Andersen and J. Paradowski · 1995
Earlier work this paper cites.
A guide to quantum groups
V. Chari and A. N. Pressley · 1995
Earlier work this paper cites.
A rational logarithmic conformal field theory
M. R. Gaberdiel and H. G. Kausch · 1996
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Quantum double for quasi-hopf algebras
S. Majid · 1998
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Logarithmic conformal field theories via logarithmic deformations
J. Fjelstad, J. Fuchs, S. Hwang, A. M. Semikhatov, and I. Y. Tipunin · 2002
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Another realization of the category of modules over the small quantum group
S. Arkhipov and D. Gaitsgory · 2003
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Finite tensor categories
P. Etingof and V. Ostrik · 2004
Cited alongside, same era.
Nonsemisimple fusion algebras and the Verlinde formula
J. Fuchs, S. Hwang, A. M. Semikhatov, and I. Y. Tipunin · 2004
Cited alongside, same era.
Kazhdan–Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models
P. Bushlanov, A. Gainutdinov, and I. Y. Tipunin · 2012
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Introduction to Lie algebras and representation theory
J. E. Humphreys · 2012
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The tensor structure on the representation category of the triplet algebra
A. Tsuchiya and S. Wood · 2013
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C 2 {C}_{2} -cofinite 𝒲 \mathcal{W} -algebras and their logarithmic representations
D. Adamović and A. Milas · 2014
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De-equivariantization of Hopf algebras
I. Angiono, C. Galindo, and M. Pereira · 2014
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False theta functions and the Verlinde formula
T. Creutzig and A. Milas · 2014
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Kazhdan-Lusztig correspondence for the representation category of the triplet W {W} -algebra in logarithmic CFT
A. M. Gainutdinov, A. M. Semikhatov, I. Y. Tipunin, and B. L. Feigin · 2006
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S. Glaz · 2006
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Algebraic groups: The theory of group schemes of finite type over a field
J. S. Milne · 2017
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Autoequivalences of tensor categories attached to quantum groups at roots of 1
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