Difference operators via GKLO-type homomorphisms: shuffle approach and application to quantum Q-systems

Rational Lax Matrices from Antidominantly Shifted Extended Yangians: BCD Types

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Quantum toroidal and shuffle algebras

(2020) Andrei Neguţ   ADVANCES IN MATHEMATICS

( \mathbf {t,\mathbf {q t , q )-Deformed Q-Systems, DAHA and Quantum Toroidal Algebras via Generalized Macdonald Operators

(2019) Philippe Di Francesco et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Several realizations of Fock modules for toroidal Üq,d(𝖘𝖑n) $\ddot {U}_{q,d}(\mathfrak {sl}_{n})$

(2018) Alexander Tsymbaliuk   ALGEBRAS AND REPRESENTATION THEORY

Quantum Q systems: from cluster algebras to quantum current algebras

(2016) Philippe Di Francesco et al.   LETTERS IN MATHEMATICAL PHYSICS

Bethe subalgebras of $$U_q(\widehat{\mathfrak {gl}}_n)$$ U q ( gl ^ n ) via shuffle algebras

(2015) Boris Feigin et al.   Selecta Mathematica-New Series

The Shuffle Algebra Revisited

(2013) Andrei Negut   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

A commutative algebra on degenerate CP1 and Macdonald polynomials

(2009) B. Feigin et al.   JOURNAL OF MATHEMATICAL PHYSICS