On Lie gradings. III: Gradings of the real forms of classical Lie algebras
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Publication:1580525
DOI10.1016/S0024-3795(00)00099-9zbMath1017.17027WikidataQ115340050 ScholiaQ115340050MaRDI QIDQ1580525
Jirí Patera, Miloslav Havlíček, Edita Pelantová
Publication date: 19 May 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Related Items (27)
On the structure of graded Lie algebras of order 3 ⋮ Gradings on \(\mathfrak {g}_2\) ⋮ Gradings on classical central simple real Lie algebras ⋮ Gradings on the real form e6,−14 ⋮ Gradings on the simple real Lie algebras of types \(G_2\) and \(D_4\) ⋮ Gradings on the Albert algebra and on \(\mathfrak{f}_4\) ⋮ The eight fine gradings of sl(4, C) and o(6, C) ⋮ On extended graded Poisson algebras ⋮ Gradings, braidings, representations, paraparticles: some open problems ⋮ On groupoid gradings ⋮ Techniques of graphs in the study of the structure of graded modules ⋮ Models of the Lie algebra \(F_4\) ⋮ Lie algebras with a set grading ⋮ Fine Group Gradings of the Real Forms of sl(4,C), sp(4,C), and o(4,C) ⋮ Orthogonal-gradings on \(H^*\)-algebras ⋮ Gradings on associative algebras with involution and real forms of classical simple Lie algebras ⋮ ON THE STRUCTURE OF GRADED LIE SUPERALGEBRAS ⋮ On the structure of graded Lie algebras ⋮ Fine gradings of o(5, C), sp(4, C) and of their real forms ⋮ Fine gradings on the Lie algebra ⋮ Extended magmas and their applications ⋮ On H-simple not necessarily associative algebras ⋮ Gradings on the real form 𝔢6,−26 ⋮ On the Structure of Graded Leibniz Algebras ⋮ Gradings on finite-dimensional simple Lie algebras ⋮ Gradings on the real forms of the Albert algebra, of g2, and of f4 ⋮ Gradings induced by nilpotent elements
Cites Work
- On Lie gradings. I
- On Lie gradings. II
- Normal forms of elements of classical real and complex Lie and Jordan algebras
- Discrete and continuous graded contractions of Lie algebras and superalgebras
- The Pauli matrices in n dimensions and finest gradings of simple Lie algebras of type A n−1
- Discrete and continuous graded contractions of representations of Lie algebras
- Graded contractions of the Lie algebrae(2, 1)
- Grading refinements in the contractions of Lie algebras and their invariants
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