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Diagonal reduction algebras of \(\mathfrak{gl}\) type

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Publication:366244
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DOI10.1007/s10688-010-0023-0zbMath1271.17005arXiv0912.4055OpenAlexW2592998695MaRDI QIDQ366244

O. V. Ogievetskij, Sergey M. Khoroshkin

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.4055

zbMATH Keywords

extremal projectorordering relationsreduction algebra


Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Simple, semisimple, reductive (super)algebras (17B20)


Related Items

Diagonal reduction algebras of \(\mathfrak{gl}\) type, Diagonal reduction algebra and the reflection equation, Differential calculus on \(\mathbf{h}\)-deformed spaces, Rings of \(\mathbf h\)-deformed differential operators, Contravariant form for reduction algebras, Rings of fractions of reduction algebras



Cites Work

  • Diagonal reduction algebras of \(\mathfrak{gl}\) type
  • Structure constants of diagonal reduction algebras of \(\mathfrak{gl}\) type
  • Step algebras of semi-simple subalgebras of Lie algebras
  • On quantum methods in the representation theory of reductive Lie algebras
  • Mickelsson algebras and Zhelobenko operators.
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