Frontiers of Mathematics in China >

2016 , Vol. 11 >Issue 2: 269 - 277

DOI: https://doi.org/10.1007/s11464-016-0531-1

RESEARCH ARTICLE

Classification of irreducible non-zero level quasifinite modules over twisted affine Nappi-Witten algebra

  • Xue CHEN
Expand
  • School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, China

Received date: 19 Mar 2015

Accepted date: 05 Feb 2016

Published date: 18 Apr 2016

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
Fold

Abstract

We obtain that every irreducible quasifinite module with non-zero level over the twisted affine Nappi-Witten algebra is either a highest weight module or a lowest one.

Key words： Twisted affine Nappi-Witten algebra; quasifinite module; weight module

Cite this article

Xue CHEN . Classification of irreducible non-zero level quasifinite modules over twisted affine Nappi-Witten algebra[J]. Frontiers of Mathematics in China, 2016 , 11(2) : 269 -277 . DOI: 10.1007/s11464-016-0531-1

References

Publishing order | Descend order by publishing year | Descend order by cited within
1
Bao Yixin, Jiang Cuipo, Pei Yufeng. Representations of affine Nappi-Witten algebras. J Algebra, 2011, 342: 111–133

DOI

2
Chen X, Jiang C, Jiang Q. Representations of the twisted affine Nappi-Witten algebras. J Math Phys, 2013, 54(5): 051703-1–20

DOI

3
Cheung Y, Freidel L, Savvidy K. Strings in gravimagnetic fields. J High Energy Phys, 2004, 054: 1–48

DOI

4
D’Appollonio G, Kiritsis E. String interactions in gravitational wave backgrounds. Nuclear Phys B, 2003, 674: 80–170

DOI

5
D’Appollonio G, Quella T. The abelian cosets of the Heisenberg group. J High Energy Phy, 2007, 045: 1–28

DOI

6
D’Appollonio G, Quella T. The diagonal cosets of the Heisenberg group. J High Energy Phys, 2008, 060: 1–42

DOI

7
Futorny M V. Irreducible non-dense A(1) 1-modules. Pacific J Math, 1996, 172: 83–99

DOI

8
Jiang Cuipo, Wang Song. Extension of vertex operator algebraVH^4 (l, 0). Algebra Colloq, 2014, 21(3): 361–380

DOI

9
Kac G V. Infinite Dimensional Lie Algebras. Cambridge: Cambridge University Press, 1990

DOI

10
Kiritsis E, Kounnas C. String propagation in gravitational wave backgrounds. Phys Lett B, 1994, 594: 368–374

DOI

11
Nappi C, Witten E.Wess-Zumino-Witten model based on a nonsemisimple group. Phys Rev Lett, 1993, 23: 3751–3753

DOI

12
Su Yucai. Classification of quasifinite modules over the Lie algebras of Weyl type. Adv Math, 2003, 174: 57–68

DOI

13
Witten E. Non-abelian bosonization in two-dimensions. Comm Math Phys, 1984, 92: 455–472

DOI

Options
Outlines

/

〈 〉