Infinitesimal Hecke algebras of \(\mathfrak{so}_N\)

DOI10.1016/j.jpaa.2014.07.022zbMath1336.17009arXiv1306.1514OpenAlexW2085432843MaRDI QIDQ2254778

Aleksander Tsymbaliuk

Publication date: 6 February 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1514

zbMATH Keywords

Lie algebrafinite \(W\)-algebrainfinitesimal Hecke algebra

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Universal enveloping (super)algebras (17B35)

Related Items (2)

Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property ⋮ Infinitesimal Cherednik algebras as \(W\)-algebras

Cites Work

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• Continuous Hecke algebras.
• Young diagrams and ideals of Pfaffians
• Special transverse slices and their enveloping algebras
• Infinitesimal Cherednik algebras as \(W\)-algebras
• On the invariant ideals of the symmetric algebra \(S.(V\oplus \Lambda ^ 2V)\)
• Representations of infinitesimal Cherednik algebras
• Highest Weight Theory for Finite W-Algebras

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