A Presentation of the Deformed W 1+∞ Algebra
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Publication:2842047
DOI10.1007/978-1-4471-4863-0_1zbMath1310.16024arXiv1209.0429OpenAlexW197383173MaRDI QIDQ2842047
Noah Arbesfeld, Olivier Schiffmann
Publication date: 31 July 2013
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1209.0429
Noncommutative algebraic geometry (14A22) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Vertex operators; vertex operator algebras and related structures (17B69) Deformations of associative rings (16S80)
Related Items (12)
Webs of \(\mathcal{W}\)-algebras ⋮ Toric Calabi-Yau threefolds as quantum integrable systems. \(\mathcal R\)-matrix and \(\mathcal{RTT}\) relations ⋮ \( \mathcal{W} \) -symmetry, topological vertex and affine Yangian ⋮ Explicit examples of DIM constraints for network matrix models ⋮ The affine Yangian of \(\mathfrak{gl}_1\) revisited ⋮ Cohomological Hall algebras, vertex algebras and instantons ⋮ Commutative subalgebras from Serre relations ⋮ Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras ⋮ Coproduct for Yangians of affine Kac-Moody algebras ⋮ W-ALGEBRAS FROM HEISENBERG CATEGORIES ⋮ Universal two-parameter 𝒲∞-algebra and vertex algebras of type 𝒲(2, 3, …, N) ⋮ Hilbert schemes of nonreduced divisors in Calabi-Yau threefolds and \(W\)-algebras
Cites Work
- Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\)
- Some combinatorial properties of Jack symmetric functions
- \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
- Representation theory of \(\mathcal{W}\)-algebras
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