Quantum continuous $\mathfrak{gl}_{\infty}$: Semiinfinite construction of representations

@article{Feigin2011QuantumC,
  title={Quantum continuous \$\mathfrak\{gl\}_\{\infty\}\$: Semiinfinite construction of representations},
  author={B. Feigin and E. Feigin and M. Jimbo and T. Miwa and E. Mukhin},
  journal={Journal of Mathematics of Kyoto University},
  year={2011},
  volume={51},
  pages={337-364}
}
We begin a study of the representation theory of quantum continuous $\mathfrak{gl}_\infty$, which we denote by $\mathcal E$. This algebra depends on two parameters and is a deformed version of the enveloping algebra of the Lie algebra of difference operators acting on the space of Laurent polynomials in one variable. Fundamental representations of $\mathcal E$ are labeled by a continuous parameter $u\in {\mathbb C}$. The representation theory of $\mathcal E$ has many properties familiar from… Expand
72 Citations
Quantum Geometry and Quiver Gauge Theories
  • 148
  • PDF
The supersymmetric affine Yangian
  • 26
  • PDF
W$$ \mathcal{W} $$ -symmetry, topological vertex and affine Yangian
  • 58
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 17 REFERENCES
...
1
2
...