159
Views
0
CrossRef citations to date
0
Altmetric
Research Articles

Drinfeld twists of Koszul algebras

ORCID Icon
Pages 3406-3418 | Received 29 Jun 2023, Accepted 06 Feb 2024, Published online: 22 Feb 2024

References

  • Aschieri, P., Schenkel, A. (2014). Noncommutative connections on bimodules and drinfeld twist deformation. Adv. Theor. Math. Phys. 18(3):513–612. DOI: 10.4310/ATMP.2014.v18.n3.a1.
  • Bazlov, Y., Berenstein, A., Jones-Healey, E., Mcgaw, A. (2022). Twists of rational Cherednik algebras. Q. J. Math. 74(2):511–528. DOI: 10.1093/qmath/haac033.
  • Brouder, C., Fauser, B., Frabetti, A., Oeckl, R. (2004). Quantum field theory and Hopf algebra cohomology. J. Phys. A: Math. General 37(22):5895. DOI: 10.1088/0305-4470/37/22/014.
  • Chen, X.-W., Silvestrov, S. D., Van Oystaeyen, F. (2006). Representations and cocycle twists of color Lie algebras. Algebras Represent. Theory 9(6):633–650. DOI: 10.1007/s10468-006-9027-0.
  • Davies, A. (2017). Cocycle twists of Algebras. Commun. Algebra 45(3):1347–1363. DOI: 10.1080/00927872.2016.1178271.
  • Drinfel’d, V. G. (1986). Quantum Groups. Proc. Int. Congress Math. 1:798–820.
  • Etingof, P., Gelaki, S., Nikshych, D., Ostrik, V. (2016). Tensor Categories. Volume 205 of Mathematical Surveys and Monographs. Providence, RI: American Mathematical Society.
  • Etingof, P., Semenyakin, M. (2021). A brief introduction to quantum groups. arXiv:2106.05252.
  • Giaquinto, A., Zhang, J. J. (1998). Bialgebra actions, twists, and universal deformation formulas. J. Pure Appl. Algebra 128(2):133–151. DOI: 10.1016/S0022-4049(97)00041-8.
  • Majid, S. (1995). Foundations of Quantum Group Theory. Cambridge, UK: Cambridge University Press.
  • Montgomery, S. (2004). Algebra properties invariant under twisting. In: Caenepeel, S., Van Oystaeyen, F., eds. Hopf Algebras in Noncommutative Geometry and Physics. Boca Raton, FL: CRC Press, p. 239.
  • Vafa, C., Witten, E. (1995). On orbifolds with discrete torsion. J. Geometry Phys. 15(3):189–214. DOI: 10.1016/0393-0440(94)00048-9.
  • Vlaar, B. (2020). LMS Autumn Algebra School 2020, Lecture notes: Introduction to Quantum Groups. https://www.icms.org.uk/sites/default/files/documents/events/Bart%20Vlaar.pdf. [Online; accessed 31-May-2023].
  • Witherspoon, S. J. (2019). Hochschild Cohomology for Algebras. Volume 204 of Graduate Studies in Mathematics. Providence, RI: American Mathematical Society.