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Intrinsic construction of invariant functions on simple Lie algebras

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Publication:2253032
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DOI10.1016/j.jalgebra.2013.12.017zbMath1304.13011arXiv1303.1131OpenAlexW2045363374WikidataQ115350945 ScholiaQ115350945MaRDI QIDQ2253032

Zhaohu Nie

Publication date: 25 July 2014

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

Full work available at URL: https://arxiv.org/abs/1303.1131


zbMATH Keywords

invariant theorycomplex simple Lie algebrasKostant slice


Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Simple, semisimple, reductive (super)algebras (17B20)



Uses Software

  • Maple


Cites Work

  • Unnamed Item
  • Unnamed Item
  • Liouville integrability of a class of integrable spin Calogero-Moser systems and exponents of simple Lie algebras
  • On Whittaker vectors and representation theory
  • Do it yourself: the structure constants for Lie algebras of types \(E_l\)
  • Toda theory and \({\mathcal W}\)-algebra from a gauged WZNW point of view
  • The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
  • The octic E8 invariant
  • Lie Group Representations on Polynomial Rings
  • Invariants of Finite Groups Generated by Reflections
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