Quantum generalized Harish-Chandra isomorphisms

DOI10.1016/j.jalgebra.2013.11.009zbMath1342.17010OpenAlexW2063766546MaRDI QIDQ397978

Polyxeni Lamprou

Publication date: 12 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.11.009

zbMATH Keywords

quantized enveloping algebraHarish-Cisomorphism

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35)

Cites Work

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• An algebraic slice in the coadjoint space of the Borel and the Coxeter element
• A generalized Harish-Chandra isomorphism
• A direct proof of a generalized Harish-Chandra isomorphism
• Evaluation of the quantum affine PRV determinants
• Proof of Verma's conjecture on Weyl's dimension polynomial
• On a theorem of Pittie
• Zhelobenko invariants, Bernstein-Gelfand-Gelfand operators and the analogue Kostant Clifford algebra conjecture
• Representation of complex semi-simple Lie groups and Lie algebras
• Chevalley restriction theorem for vector-valued functions on quantum groups
• Lie Group Representations on Polynomial Rings

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