Difference operators via GKLO-type homomorphisms: shuffle approach and application to quantum \(Q\)-systems
DOI10.1007/s11005-023-01639-1OpenAlexW4319323124MaRDI QIDQ2689100
Publication date: 9 March 2023
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.02804
quantum loop algebrasshuffle algebrasgeneralized Macdonald operatorsGKLO-type homomorphismsquantum \(Q\)-systems
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Cites Work
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- Bethe subalgebras of \(U_q(\widehat{\mathfrak{gl}}_n)\) via shuffle algebras
- Quantum Q systems: from cluster algebras to quantum current algebras
- Quantum continuous \(\mathfrak{gl}_{\infty}\): semiinfinite construction of representations
- Quantum toroidal and shuffle algebras
- Elliptic deformations of current algebras and their representations by difference operators
- Several realizations of Fock modules for toroidal \(\ddot {U}_{q,d}(\mathfrak {sl}_{n})\)
- Macdonald operators and quantum Q-systems for classical types
- Rational Lax matrices from antidominantly shifted extended Yangians: BCD types
- Shifted quantum affine algebras: integral forms in type \(A\)
- \(t,q\)-deformed \(Q\)-systems, DAHA and quantum toroidal algebras via generalized Macdonald operators
- Towards a mathematical definition of Coulomb branches of 3-dimensional \(\mathcal{N} = 4\) gauge theories. II.
- Coulomb branches of \(3d\) \(\mathcal{N}=4\) quiver gauge theories and slices in the affine Grassmannian
- Shuffle algebras for quivers and wheel conditions
- The Shuffle Algebra Revisited
- Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras
- A commutative algebra on degenerate CP1 and Macdonald polynomials
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