Group gradings on the Lie and Jordan superalgebrasQ(n)

DOI10.1080/00927872.2016.1226865zbMath1419.17034arXiv1509.05275OpenAlexW2964086622MaRDI QIDQ5273469

Caio De Naday Hornhardt, Mikhail Kochetov, Helen Samara Dos Santos, Yu. A. Bakhturin

Publication date: 6 July 2017

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

Full work available at URL: https://arxiv.org/abs/1509.05275

zbMATH Keywords

graded algebraqueer Lie superalgebrasimple Lie superalgebragroup gradingclassical Lie superalgebrasimple Jordan superalgebra

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Graded rings and modules (associative rings and algebras) (16W50) Simple, semisimple Jordan algebras (17C20) Simple, semisimple, reductive (super)algebras (17B20) Super structures (17C70)

Related Items

Group gradings on the superalgebras \(M(m,n)\), \(A(m,n)\) and \(P(n)\) ⋮ Pauli gradings on Lie superalgebras and graded codimension growth

Cites Work

• Gradings on the Lie algebra \(D_4\) revisited
• Jordan gradings on associative algebras.
• Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\)
• Gradings on the Kac superalgebra
• Fine gradings on simple classical Lie algebras
• Gradings on simple Jordan and Lie algebras
• Graded modules over classical simple Lie algebras with a grading
• Lie gradings on associative algebras
• GRADINGS OF SIMPLE JORDAN ALGEBRAS AND THEIR RELATION TO THE GRADINGS OF SIMPLE ASSOCIATIVE ALGEBRAS
• GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS
• FINE GRADINGS ON EXCEPTIONAL SIMPLE LIE SUPERALGEBRAS
• AUTOMORPHISMS OF SIMPLE LIE SUPERALGEBRAS
• Classification of simple z-graded lie superalgebras and simple jordan superalgebras
• Lie superalgebras

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