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Extended central characters and Dixmier's map

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Publication:1283667
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DOI10.1006/jabr.1998.7666zbMath1050.17009OpenAlexW2010990055MaRDI QIDQ1283667

Walter Borho

Publication date: 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7666



Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35)


Related Items

Sheets and hearts of prime ideals in enveloping algebras of semisimple Lie algebras ⋮ Unruffled extensions and flatness over central subalgebras.



Cites Work

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  • Completely prime ideals of the enveloping algebra of \(\mathfrak{gl}_ n({\mathbb{C}})\)).
  • Über Schichten halbeinfacher Lie-Algebren
  • Über primitive Ideale in der Einhüllenden einer halbeinfachen Lie- Algebra
  • Berechnung der Gelfand-Kirillov-Dimension bei induzierten Darstellungen
  • Primitive vollprime Ideale in der Einhüllenden von \(\mathfrak {so}(5,\mathbb{C})\)
  • Definition einer Dixmier-Abbildung für \(\mathfrak{sl}(n,\mathbb C)\)
  • Primitive ideals in enveloping algebras
  • Parametrisierung von Konjugationsklassen in \(\mathfrak sl_n\)
  • On Duflo's theorem that minimal primitive ideals are centrally generated
  • The prime spectrum of the enveloping algebra of a reductive Lie algebra
  • On the topology of the Dixmier map
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