On correlation functions of Drinfeld currents and shuffle algebras
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Publication:1576595
DOI10.1007/BF01236465zbMath0998.17019arXivmath/9809036MaRDI QIDQ1576595
Publication date: 22 August 2001
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9809036
vanishing conditionsquantum affine algebrasshuffle algebraquantum Serre relationsalgebra of Drinfeld currentscorrelation functions of Drinfeld currents
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Related Items (16)
Weight function for the quantum affine algebra \(U_q(\widehat{\mathfrak sl}_{3})\) ⋮ Shuffle algebra realization of quantum affine superalgebra \(U_v( \widehat{\mathfrak{D}}(2, 1; \theta))\) ⋮ Quantum geometry and quiver gauge theories ⋮ SHUFFLE ALGEBRAS FOR QUIVERS AND R-MATRICES ⋮ Shuffle algebras for quivers and wheel conditions ⋮ The PBW basis of \(U_{q,\overline{q}}(\ddot{\mathfrak{gl}}_n)\) ⋮ Quantum loop groups and shuffle algebras via Lyndon words ⋮ Weight functions and Drinfeld currents ⋮ On quantum shuffle and quantum affine algebras ⋮ Universal \(\mathcal R\)-matrix for quantum affine algebras \(U_q(A_2^{(2)})\) and \(U_q(\widehat{\text{osp}}(1|2))\) with Drinfeld co\-mul\-ti\-plication. ⋮ On the universal weight function for the quantum affine algebra $U_q(\widehat {\mathfrak {gl}}_N)$ ⋮ K-theoretic Hall algebras, quantum groups and super quantum groups ⋮ Deformed \(W\)-algebras in type \(A\) for rectangular nilpotent ⋮ Quantum toroidal and shuffle algebras ⋮ Toroidal and elliptic quiver BPS algebras and beyond ⋮ Twisted quantum affinizations and quantization of extended affine lie algebras
Cites Work
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- Algebra of screening operators for the deformed \(W_n\) algebra
- Convex bases of PBW type for quantum affine algebras
- Quantum current operators. I: Zeros and poles of quantum current operators and the condition of quantum integrability
- Quantum Kac-Moody algebras and vertex representations
- Quasi-Hopf algebras associated with \({\mathfrak sl}_2\) and complex curves.
- Introduction to quantum groups
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