On correlation functions of Drinfeld currents and shuffle algebras

DOI10.1007/BF01236465zbMath0998.17019arXivmath/9809036MaRDI QIDQ1576595

Benjamin Enriquez

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

zbMATH Keywords

vanishing conditionsquantum affine algebrasshuffle algebraquantum Serre relationsalgebra of Drinfeld currentscorrelation functions of Drinfeld currents

Mathematics Subject Classification ID

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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