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Quantization of parafermion vertex algebras
Fei Kong
[1]
[1]
Hunan Normal University
Hunan Normal University
China
Localización:
Selecta Mathematica, New Series
,
ISSN
1022-1824,
Vol. 31, Nº. 5, 2025
Idioma:
inglés
DOI
:
10.1007/s00029-025-01105-x
Enlaces
Texto completo
Referencias bibliográficas
1. Ai, C., Dong, C., Jiao, X., Ren, L.: The irreducible modules and fusion rules for the Parafermion vertex operator algebras. Trans. Am....
2. Arakawa, T., Lam, C., Yamada, H.: Zhu’s algebra, C2-algebra and C2-cofiniteness of parafermion vertex operator algebras. Adv. Math. 264,...
3. Arakawa, T., Lam, C., Yamada, H.: Parafermion vertex operator algebras and w-algebras. Trans. Am. Math. Soc. 371, 4277–4301 (2019)
4. Butorac, M., Jing, N., Koži´c, S.: -adic quantum vertex algebras associated with rational R-matrix in types B, C and D. Lett. Math. Phys....
5. Bakalov, B., Kac, V.: Field algebras. Int. Math. Res. Notices 3, 123–159 (2003)
6. Carnahan, S., Miyamoto, M.: Regularity of fixed-point vertex operator subalgebras. arXiv preprint arXiv:1603.05645
7. Dong, C., Jiao, X., Xu, F.: Quantum dimensions and quantum Galois theory. Trans. Am. Math. Soc. 365, 6441–6469 (2013)
8. Dong, C., Kac, V., Ren, L.: Trace functions of the parafermion vertex operator algebras. Adv. Math. 348, 1–17 (2019)
9. Dong, C., Lam, C., Wang, Q.: The structure of parafermion vertex operator algebras. J. Algebra 323, 371–381 (2010)
10. Dong, C., Lam, C., Yamada, H.:W-algebras related to parafermion algebras. J. Algebra 322, 2366–2403 (2009)
11. Dong, C., Lepowsky, J.: Generalized Vertex Algebras and Relative Vertex Operators. Progress in Mathematics. Birkhäuser, Boston (1993)
12. Dong, C., Li, H., Mason, G.: Regularity of rational vertex operator algebras. Adv. Math. 132, 148–166 (1997)
13. Dong, C., Ren, L.: Representations of the parafermion vertex operator algebras. Adv. Math. 315, 88–101 (2017)
14. Dong, C., Wang, Q.: The structure of parafermion vertex operator algebras: general case. Commun. Math. Phys. 299, 783–792 (2010)
15. Dong, C., Wang, Q.: On C2-cofiniteness of parafermion vertex operator algebras. J. Algebra 328, 420–431 (2011)
16. Dong, C., Wang, Q.: Parafermion vertex operator algebras. Front. Math. China 6, 567–579 (2011)
17. Dong, C., Wang, Q.: Quantum dimensions and fusion rules for parafermion vertex operator algebras. Proc. Am. Math. Soc. 144, 1483–1492...
18. Drinfeld, V.: Hopf algebras and quantum Yang–Baxter equation. Sov. Math. Dokl. 283, 1060–1064 (1985)
19. Drinfeld, V.: A new realization of Yangians and quantized affine algebras. Sov. Math. Dokl. 212–216 (1988)
20. Etingof, P., Kazhdan, D.: Quantization of Lie bialgebras. Part V: quantum vertex operator algebras. Sel. Math. 6(1), 105 (2000)
21. Frenkel, I., Jing, N.: Vertex representations of quantum affine algebras. Proc. Natl. Acad. Sci. USA 85(24), 9373–9377 (1988)
22. Frenkel, I., Zhu, Y.: Vertex operator algebras associated to representations of affine and Virasoro algebras. Duke Math. J. 66, 123–168...
23. Garland, H.: The arithmetic theory of loop algebras. J. Algebra 53(2), 480–551 (1978)
24. Jimbo, M., Miwa, T.: Algebraic Analysis of Solvable Lattice Models, Vol. 85, American Mathematical Society (1994)
25. Jing, N.: Quantum Kac–Moody algebras and vertex representations. Lett. Math. Phys. 44(4), 261–271 (1998)
26. Jing, N., Kong, F., Li, H., Tan, S.: Deforming vertex algebras by vertex bialgebras. Commun. Cont. Math. 26, 2250067 (2024)
27. Kac, V.: Infinite Dimensional Lie Algebras. Cambridge University Press, Cambridge (1994)
28. Kac, V.: Vertex Algebras for Beginners, University Lecture Series, vol. 10. American Mathematical Society, Providence (1997)
29. Kassel, C.: Quantum Groups. Graduate Texts in Mathematics, vol. 155. Springer-Verlag, New York (1995)
30. Kong, F.: Quantum affine vertex algebras associated to untwisted quantum affinization algebras. Commun. Math. Phys. 402, 2577–2625 (2023)
31. Kong, F.: Representations of quantum lattice vertex algebras. J. Pure Appl. Algebra 229, 107832 (2025)
32. Kong, F.: Twisted tensor products of quantum affine vertex algebras and coproducts. J. Algebra 662, 72–122 (2025)
33. Koži´c, S.: On the quantum affine vertex algebra associated with trigonometric R-matrix. Sel. Math. (N. S.) 27, 45 (2021)
34. Koži´c,: -adic quantum vertex algebras in types B, C, D and their φ-coordinated modules. J. Phys. A Math. Theor. 54, 485202 (2021)
35. Lepowsky, J., Li, H.: Introduction to Vertex Operator Algebras and Their Representations, Vol. 227, Birkhäuser Boston Incoporation (2004)
36. Li, H.: Local systems of vertex operators, vertex superalgebras and modules. J. Pure Appl. Algebra 109, 143–195 (1996)
37. Li, H.: Axiomatic G1-vertex algebras. Commun. Cont. Math. 5, 1–47 (2003)
38. Li, H.: Nonlocal vertex algebras generated by formal vertex operators. Sel. Math. 11(3–4), 349 (2006)
39. Li, H.: A smash product construction of nonlocal vertex algebras. Commun. Cont. Math. 9(05), 605– 637 (2007)
40. Li, H.: -adic quantum vertex algebras and their modules. Commun. Math. Phys. 296, 475–523 (2010)
41. Li, H.: G-equivariant φ-coordinated quasi modules for quantum vertex algebras. J. Math. Phys. 54, 051704 (2013)
42. Li, H., Sun, J.: Twisted tensor products of nonlocal vertex algebras. J. Algebra 345(1), 266–294 (2011)
43. Meurman, A., Primc, M.: Vertex Operator Algebras and Representations of Affine Lie Algebras. Acta Appl. Math. 44, 207–215 (1996)
44. Meurman, A., Primc, M.: Annihilating Fields of Standard Modules of sl(2, C) and Combinatorial Identities. Mem. Amer. Math. Soc. 652 (1999)
45. Nakajima, H.: Quiver varieties and finite dimensional representations of quantum affine algebras. J. Am. Math. Soc. 14(1), 145–238 (2001)
46. Reshetikhin, Y., Semenov-Tian Shansky, A.: Central extensions of quantum current groups. Lett. Math. Phys. 19, 133–142 (1990)
47. Roitman, M.: On free conformal and vertex algebras. J. Algebra 217, 496–527 (1999)
48. Sun, J.: Iterated twisted tensor products of nonlocal vertex algebras. J. Algebra 381, 233–259 (2013)
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