Fine gradings and their Weyl groups for twisted Heisenberg Lie superalgebras

DOI10.1016/j.geomphys.2021.104345OpenAlexW3191527314WikidataQ115352684 ScholiaQ115352684MaRDI QIDQ2237950

Wende Liu, Wenjuan Xie

Publication date: 28 October 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.02166

zbMATH Keywords

Weyl groupfine gradingHeisenberg superalgebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Graded Lie (super)algebras (17B70)

Cites Work

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• Gradings on the exceptional Lie algebras \(F_4\) and \(G_2\) revisited
• Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\)
• Fine gradings on simple classical Lie algebras
• Heisenberg Lie superalgebras and their invariant superorthogonal and supersymplectic forms
• Gradings on finite-dimensional simple Lie algebras
• On Lie gradings. I
• Gradings on classical central simple real Lie algebras
• Gradings on the simple real Lie algebras of types \(G_2\) and \(D_4\)
• Gradings on simple Jordan and Lie algebras
• Weyl groups of fine gradings on matrix algebras, octonions and the Albert algebra.
• Gradings and symmetries on Heisenberg type algebras
• Graded modules over classical simple Lie algebras with a grading
• Gradings on the Albert algebra and on \(\mathfrak{f}_4\)
• Group Gradings on Filiform Lie Algebras
• Weyl groups of fine gradings on simple Lie algebras of types A, B, C and D
• FINE GRADINGS ON EXCEPTIONAL SIMPLE LIE SUPERALGEBRAS
• Group Gradings onG₂
• Jordan gradings on exceptional simple Lie algebras
• Matrix Analysis
• Fine gradings on the Lie algebra
• Gradings on the real forms of the Albert algebra, of g2, and of f4
• Fine gradings on \(\mathfrak e_6\)

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