Quasi modules for the quantum affine vertex algebra in type $A$

@inproceedings{Kovzic2017QuasiMF,
  title={Quasi modules for the quantum affine vertex algebra in type \$A\$},
  author={Slaven Kovzi'c},
  year={2017}
}
We consider the quantum affine vertex algebra Vc(glN ) associated with the rational R-matrix, as defined by Etingof and Kazhdan. We introduce certain subalgebras Ac(glN ) of the completed double Yangian D̃Yc(glN ) at the level c ∈ C, associated with the reflection equation, and we employ their structure to construct examples of quasi Vc(glN )-modules. Finally, we use the quasi module map, together with the explicit description of the center of Vc(glN ), to obtain formulae for families of… Expand

References

SHOWING 1-10 OF 21 REFERENCES
REPRESENTATIONS OF REFLECTION ALGEBRAS
  • 51
  • Highly Influential
  • PDF
AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
  • 274
Twisted modules for quantum vertex algebras
  • 24
  • PDF
Algebraic structures related to reflection equations
  • 171
  • PDF
Modules-at-Infinity for Quantum Vertex Algebras
  • 16
  • PDF
Langlands Correspondence for Loop Groups
  • 167
  • PDF
Yangians and Classical Lie Algebras
  • 428
  • PDF
...
1
2
3
...