Hilbert Space Methods in the Theory of Lie Algebras
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Publication:3270124
DOI10.2307/1993330zbMath0093.30601OpenAlexW4231562935MaRDI QIDQ3270124
Publication date: 1960
Full work available at URL: https://doi.org/10.2307/1993330
Related Items (47)
Arbitrary algebras with a multiplicative basis ⋮ RETRACTED ARTICLE: Split Malcev-Poisson-Jordan algebras ⋮ The uniqueness of the complete norm topology in complete normed nonassociative algebras ⋮ The Weyl group of an \(L^*\)-algebra ⋮ Continuity of derivations on Mal'cev H*-algebras ⋮ On involutive Lie algebras having a Cartan decomposition ⋮ 2-local automorphisms on semisimple \(\mathcal{L}^\ast\)-algebras ⋮ Classification of the simple separable real 𝐿*-algebras ⋮ On split Lie triple systems. II ⋮ On extended graded Poisson algebras ⋮ A note on strongly split Lie algebras ⋮ Mostow's decomposition theorem for \(L^\ast\)-groups and applications to affine coadjoint orbits and stable manifolds ⋮ Jacobson's theorem on derivations of primitive rings with nonzero socle: a proof and applications ⋮ n-Algebras admitting a multiplicative basis ⋮ On graded associative algebras. ⋮ Poisson color algebras of arbitrary degree ⋮ Mal'cev H*-algebras ⋮ On the structure of split involutive Lie algebras ⋮ Semibounded unitary representations of double extensions of Hilbert-loop groups ⋮ Biderivations and commuting linear maps on topologically simple \(\mathscr{L}^\ast\)-algebras ⋮ Structurable \(H^*\)-algebras ⋮ Orthogonal-gradings on \(H^*\)-algebras ⋮ On split Lie algebras with symmetric root systems ⋮ Strongly Split Poisson Algebras ⋮ Hilbert space methods in the theory of Jordan algebras. I ⋮ Hilbert space methods in the theory of Jordan algebras. II ⋮ On the structure of graded Lie algebras ⋮ On infinite root systems ⋮ Axioms for finite and infinite classical Lie algebras ⋮ Lie groups and homogeneous spaces ⋮ On split Malcev Poisson algebras ⋮ Towards a Lie theory of locally convex groups ⋮ Infinite-dimensional hyperkähler manifolds associated with Hermitian-symmetric affine coadjoint orbits ⋮ Simple \(L^*\)-algebras of classical type ⋮ Regular elements of \(L^ *\)-algebras ⋮ Infinite dimensional Riemannian symmetric spaces with fixed-sign curvature operator ⋮ Cartan subalgebras of an \(L^*\)-algebra ⋮ On the classification of infinite-dimensional irreducible Hermitian-symmetric affine coadjoint orbits ⋮ Structure theory for L*-algebras ⋮ Nilpotent locally convex Lie algebras and Lie field structures ⋮ The structure of locally finite split Lie algebras ⋮ Fixed-point-free automorphisms in \(L^ *\)-algebras ⋮ Structure theory for noncommutative Jordan \(H^ *\)-algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Boolean Valued Analysis: Background and Results ⋮ Isomorphisms of H*-algebras
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