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Original Articles

Bases of standard modules for affine Lie algebras of type

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Pages 3663-3673 | Received 25 Jul 2017, Published online: 08 Feb 2018

References

  • Baranović, I., Primc, M., Trupčević, G. (2016). Bases of Feigin–Stoyanovsky’s type subspaces for C(1). Ramanujan J. DOI:10.1007/s11139-016-9840-y1007-1051
  • Dong, C., Li, H., Mason, G. (1996). Simple currents and extensions of vertex operator algebras. Commun. Math. Phys. 180:671–707
  • Frenkel, I. B. (1981). Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory. J. Funct. Anal. 44:259–327.
  • Frenkel, I. B., Kac, V. (1980). Basic representations of affine Lie algebras and dual resonance models. Invent. Math.62:23–66.
  • Gannon, T. (2002). The automorhisms of affine fusion rings. Adv. Math. 165:165–193.
  • Humphreys, J. (1994). Introduction to Lie Algebras and Representation Theory. New York: Springer.
  • Kac, V. G. (1990). Infinite-Dimensional Lie Algebras, 3rd ed. Cambridge: Cambridge University Press.
  • Lepowsky, J., Li, H.-S. (2004). Introduction to Vertex Operator Algebras and Their Representations. Progress in Mathematics, Vol. 227. Boston: Birkhäuser.
  • Lepowsky, J., Primc, M. (1985). Structure of the standard modules for the affine Lie algebra A1(1). Contemporary Math.46:1–84
  • Primc, M. (1994). Vertex operator construction of standard modules for An(1). Pac. J. Math. 162:143–187
  • Primc, M. (2000). Basic representations for classical affine Lie algebras. J. Algebra 228:1–50
  • Primc, M. (2013). Combinatorial bases of modules for affine Lie algebra B2(1). Cent. Eur. J. Math. 11:197:225.
  • Stoyanovsky, A. V., Feigin, B. L. (1994). Functional models of the representations of current algebras, and semi-infinite Schubert cells (Russian). Funktsional. Anal. Prilozhen. 28:68–90; translation In Funct. Anal. Appl. 28:55-72; preprint Feigin, B., Stoyanovsky, A. Quasi-particles models for the representations of Lie algebras and geometry of flag manifold. hep-th/9308079, RIMS 942.
  • Trupčević, G. (2009). Combinatorial bases of Feigin-Stoyanovsky’s type subspaces of higher-level standard 𝔰𝔩̃(ℓ+1,ℂ)-modules. J. Algebra 322:3744–3774.
  • Trupčević, G. (2010). Combinatorial bases of Feigin-Stoyanovsky’s type subspaces of level 1 standard 𝔰𝔩̃(ℓ+1,ℂ)-modules. Commun. Algebra 38:3913–3940.

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