Corpus ID: 118586859

Bilinear gauge operators

  title={Bilinear gauge operators},
  author={Dmitriy Noshchenko},
  journal={arXiv: Exactly Solvable and Integrable Systems},
  • Dmitriy Noshchenko
  • Published 3 August 2016
  • Mathematics, Physics
  • arXiv: Exactly Solvable and Integrable Systems
We construct a family of bilinear differential operators which satisfy certain gauge properties. These operators can be naturally associated with $q$-deformations of classical integrable hierarchies. In particular, we consider the case when gauge function $=$ Hurwitz-type partition function. 


Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
We introduce a new family of symmetric functions, which are q analogs of products of Schur functions, defined in terms of ribbon tableaux. These functions can be interpreted in terms of the FockExpand
Solitons and Infinite Dimensional Lie Algebras
Introduction §1. Fock Representation of gf(°°) §2. T Functions and the KP Hierarchy §3. Reduction to A[" §4. Fermions with 2 Components §5. Algebras B^ and Co §6. Spin Representation of J&TO §7.Expand