Howe pairs in the theory of vertex algebras

@article{Lian2006HowePI,
  title={Howe pairs in the theory of vertex algebras},
  author={B. Lian and A. Linshaw},
  journal={Journal of Algebra},
  year={2006},
  volume={317},
  pages={111-152}
}
Abstract For any vertex algebra V and any subalgebra A ⊂ V , there is a new subalgebra of V known as the commutant of A in V . This construction was introduced by Frenkel–Zhu, and is a generalization of an earlier construction due to Kac–Peterson and Goddard–Kent–Olive known as the coset construction. In this paper, we interpret the commutant as a vertex algebra notion of invariant theory. We present an approach to describing commutant algebras in an appropriate category of vertex algebras by… Expand
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References

SHOWING 1-10 OF 41 REFERENCES
On the classification of simple vertex operator algebras
  • 56
Chiral equivariant cohomology I
  • 29
  • PDF
Commutative Quantum Operator Algebras
  • 71
  • PDF
Vertex algebras and vertex Poisson algebras
  • 75
  • Highly Influential
  • PDF
Vertex operator algebras associated to representations of affine and Virasoro Algebras
  • 747
Vertex algebras, Kac-Moody algebras, and the Monster.
  • R. Borcherds
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences of the United States of America
  • 1986
  • 1,081
  • PDF
Semi-infinite Weil complex and the Virasoro algebra
  • 45
  • PDF
Vertex Algebras and Algebraic Curves
  • 462
  • PDF
Freely Generated Vertex Algebras and Non–Linear Lie Conformal Algebras
  • 35
  • PDF
...
1
2
3
4
5
...