Research Article
Year 2020,
Volume: 27 Issue: 27, 194 - 205, 07.01.2020
Abstract
Six examples of non-braidable tensor categories which are extensions of the category $Comod(H)$, for $H$ a supergroup algebra; and two examples of braided categories where the only possible braiding is the trivial braiding are introduced.
Keywords
References
- N. Andruskiewitsch and M. Grana, Braided Hopf algebras over non abelian finite groups, Colloquium on Operator Algebras and Quantum Groups (Spanish) (Vaquerias, 1997), Bol. Acad. Nac. Cienc. (Cordoba), 63 (1999), 45-78.
- P. Etingof and S. Gelaki, The classification of finite-dimensional triangular Hopf algebras over an algebraically closed field of characteristic 0, Mosc. Math. J., 3(1) (2003), 37-43.
- C. Galindo, Crossed product tensor categories, J. Algebra, 337 (2011), 233-252.
- T. J. Hagge and S.-M. Hong, Some non-braided fusion categories of rank three, Commun. Contemp. Math., 11(4) (2009), 615-637.
- A. Joyal and R. Street, Braided Monoidal Categories, Macquarie Math. Reports, Report No: 860081, November 1986.
- A. Masuoka, Cocycle deformations and Galois objects for some cosemisimple Hopf algebras of finite dimension, in New trends in Hopf algebra theory (La Falda, 1999), Contemp. Math., 267 (2000), 195-214.
- A. Masuoka, Example of almost commutative Hopf algebras which are not coquasitriangular, Hopf algebras, Lecture Notes in Pure and Appl. Math., Dekker, New York, 237 (2004), 185-191.
- A. Mejia Castano and M. Mombelli, Crossed extensions of the corepresentation category of finite supergroup algebras, Internat. J. Math., 26(9) (2015), 1550067 (26 pp).
- S. Montgomery, Hopf Algebras and Their Actions on Rings, CBMS Regional Conference Series in Mathematics, 82, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the Amer. Math. Soc., Providence, RI, 1993.
- P. Schauenburg, Hopf bi-Galois extensions, Comm. Algebra, 24(12) (1996), 3797-3825.
Year 2020,
Volume: 27 Issue: 27, 194 - 205, 07.01.2020
Abstract
References
- N. Andruskiewitsch and M. Grana, Braided Hopf algebras over non abelian finite groups, Colloquium on Operator Algebras and Quantum Groups (Spanish) (Vaquerias, 1997), Bol. Acad. Nac. Cienc. (Cordoba), 63 (1999), 45-78.
- P. Etingof and S. Gelaki, The classification of finite-dimensional triangular Hopf algebras over an algebraically closed field of characteristic 0, Mosc. Math. J., 3(1) (2003), 37-43.
- C. Galindo, Crossed product tensor categories, J. Algebra, 337 (2011), 233-252.
- T. J. Hagge and S.-M. Hong, Some non-braided fusion categories of rank three, Commun. Contemp. Math., 11(4) (2009), 615-637.
- A. Joyal and R. Street, Braided Monoidal Categories, Macquarie Math. Reports, Report No: 860081, November 1986.
- A. Masuoka, Cocycle deformations and Galois objects for some cosemisimple Hopf algebras of finite dimension, in New trends in Hopf algebra theory (La Falda, 1999), Contemp. Math., 267 (2000), 195-214.
- A. Masuoka, Example of almost commutative Hopf algebras which are not coquasitriangular, Hopf algebras, Lecture Notes in Pure and Appl. Math., Dekker, New York, 237 (2004), 185-191.
- A. Mejia Castano and M. Mombelli, Crossed extensions of the corepresentation category of finite supergroup algebras, Internat. J. Math., 26(9) (2015), 1550067 (26 pp).
- S. Montgomery, Hopf Algebras and Their Actions on Rings, CBMS Regional Conference Series in Mathematics, 82, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the Amer. Math. Soc., Providence, RI, 1993.
- P. Schauenburg, Hopf bi-Galois extensions, Comm. Algebra, 24(12) (1996), 3797-3825.
There are 10 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Articles |
| Authors | |
| Publication Date | January 7, 2020 |
| Published in Issue | Year 2020 Volume: 27 Issue: 27 |