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Group gradings \({\mathfrak o}(8,\mathbb C)\)

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Publication:1025377
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DOI10.1016/S0034-4877(08)80015-8zbMath1194.17016OpenAlexW2034736575MaRDI QIDQ1025377

Antonio Viruel, Cristina Draper Fontanals

Publication date: 18 June 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(08)80015-8


zbMATH Keywords

orthogonal Lie algebragroup gradingfine


Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70)


Related Items

Fine gradings on simple classical Lie algebras ⋮ On graded associative algebras. ⋮ A non-computational approach to the gradings on \(\mathfrak f_4\) ⋮ Gradings by Finite Groups of the Witt Algebra ⋮ Gradings on finite-dimensional simple Lie algebras



Cites Work

  • Gradings on \(\mathfrak {g}_2\)
  • On Lie gradings. I
  • On Lie gradings. II
  • Gradings on simple Jordan and Lie algebras
  • Gradings on the Albert algebra and on \(\mathfrak{f}_4\)
  • Fine gradings of o(5, C), sp(4, C) and of their real forms
  • Fine Group Gradings of the Real Forms of sl(4,C), sp(4,C), and o(4,C)
  • Graded contractions of representations of special linear Lie algebras with respect to their maximal parabolic subalgebras
  • The eight fine gradings of sl(4, C) and o(6, C)
  • Fine gradings of o(4,C)
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