Algebraic Groups and Quantum Groups

DOI10.1090/conm/565zbMath1239.20002arXiv1111.6329OpenAlexW1546379336MaRDI QIDQ2887105

Tomoyuki Arakawa

Publication date: 18 May 2012

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.6329

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Representation theory for linear algebraic groups (20G05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69) Proceedings, conferences, collections, etc. pertaining to group theory (20-06) Proceedings, conferences, collections, etc. pertaining to nonassociative rings and algebras (17-06)

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Arc spaces and chiral symplectic cores ⋮ A realisation of the Bershadsky-Polyakov algebras and their relaxed modules ⋮ Quantizing Mishchenko–Fomenko subalgebras for centralizers via affine $W$-algebras ⋮ Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\) ⋮ Simplicity of vacuum modules and associated varieties ⋮ Localization of affine \(W\)-algebras ⋮ Strong generators of the subregular \(\mathcal{W}\)-algebra \(\mathcal{W}^{K-N}(\mathfrak{sl}_N, f_{\text{sub}})\) and combinatorial description at critical level

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