Contravariant form for reduction algebras

DOI10.1016/j.geomphys.2018.03.001zbMath1441.22021arXiv1707.07136OpenAlexW2738638099WikidataQ130096639 ScholiaQ130096639MaRDI QIDQ1748217

Xianqiang Yang

Publication date: 9 May 2018

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07136

zbMATH Keywords

singular vectorsreduction algebraShapovalov formcontravariant formdeformations of rings of differential operatorsHarish-Chandra map

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Discrete subgroups of Lie groups (22E40)

Related Items (1)

Ghost center and representations of the diagonal reduction algebra of \(\mathfrak{osp}(1 | 2)\)

Cites Work

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• Diagonal reduction algebras of \(\mathfrak{gl}\) type
• Rational and polynomial representations of Yangians
• Diagonal reduction algebra and the reflection equation
• On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra
• Step algebras of semi-simple subalgebras of Lie algebras
• On quantum methods in the representation theory of reductive Lie algebras
• Rings of fractions of reduction algebras
• Mickelsson algebras and Zhelobenko operators.
• Mickelsson algebras and representations of Yangians

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