Lie superalgebras graded by P ( n ) and Q ( n )

DOI10.1073/pnas.0932706100zbMath1063.17018OpenAlexW2073755829WikidataQ35167364 ScholiaQ35167364MaRDI QIDQ5460789

Consuelo Martínez, Efim I. Zelmanov

Publication date: 19 July 2005

Published in: Proceedings of the National Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1073/pnas.0932706100

Mathematics Subject Classification ID

Graded Lie (super)algebras (17B70) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items

On polynomial representations of strange Lie superalgebras of \(Q\)-type ⋮ Deforming the Lie superalgebra \(D(2,1; \alpha \)) inside the superconformal algebra \(K^{\prime}(4)\) ⋮ Remarks on the second homology groups of queer Lie superalgebras ⋮ Generalized \(B(m,n)\), \(C(n)\), \(D(m,n)\)-graded Lie superalgebras arising from fermionic-bosonic representations ⋮ Irreducible representations of the exceptional Cheng-Kac superalgebra ⋮ On matrix realizations of the Lie superalgebra \(D(2,1;\alpha )\) ⋮ Matrix realizations of exceptional superconformal algebras ⋮ Embedding of the Lie superalgebra D(2,1;α) into the Lie superalgebra of pseudodifferential symbols on S1∣2 ⋮ Generalized \(P(N)\)-graded Lie superalgebras ⋮ Second homology of generalized periplectic Lie superalgebras ⋮ Brackets, superalgebras and spectral gap ⋮ Leibniz Algebras Graded by Finite Root Systems ⋮ Representation theory of Jordan superalgebras I ⋮ Lie algebras graded by the weight system \((\Theta_n,sl_n)\) ⋮ Second homology of Lie superalgebras ⋮ Extended magmas and their applications ⋮ Exceptional N=6 superconformal algebra

Cites Work

• Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy
• A new \(N=6\) superconformal algebra
• Lie algebras graded by finite root systems and intersection matrix algebras
• JORDAN SUPERALGEBRAS DEFINED BY BRACKETS
• Lie Superalgebras Graded by the Root Systems C(n), D(m, n), D(2, 1, α), F(4), G(3)
• Lie Algebras Graded by 3-Graded Root Systems and Jordan Pairs Covered by Grids
• Imbedding of Jordan Algebras into Lie Algebras. I
• Lie superalgebras
• Simple finite-dimensional Jordan superalgebras of prime characteristic