Modules for relative Yangians (family algebras) and Kazhdan-Lusztig polynomials

DOI10.1007/s00031-014-9251-3zbMath1351.17014arXiv1310.4033OpenAlexW1968086533MaRDI QIDQ742487

Anthony Joseph

Publication date: 18 September 2014

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4033

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (3)

Diagonal reduction algebra and the reflection equation ⋮ Relative Yangians of Weyl type ⋮ The noncommutative Poisson bracket and the deformation of the family algebras

Cites Work

• A generalized Harish-Chandra isomorphism
• A surjectivity theorem for rigid highest weight modules
• A decomposition theorem for certain self-dual modules in the category \(\mathcal O\)
• Moduln mit einem höchsten Gewicht
• Commutativity of quantum family algebras
• Mickelsson algebras and representations of Yangians
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