Finitary simple Lie algebras
From MaRDI portal
Publication:1306840
DOI10.1006/jabr.1999.7856zbMath0949.17008OpenAlexW1972596927WikidataQ115395810 ScholiaQ115395810MaRDI QIDQ1306840
Publication date: 20 December 1999
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1999.7856
Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)
Related Items
Real Group Orbits on Flag Ind-Varieties of $$\mathrm {SL}(\infty ,\mathbb {C})$$ SL ( ∞ , C ), 3-Graded Lie Algebras with Jordan Finiteness Conditions, GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS, Annihilators of highest weight \(\mathfrak{sl}(\infty)\)-modules, The Jordan algebras of a Lie algebra, Orbit duality in ind-varieties of maximal generalized flags, Lie algebra of column-finite infinite matrices: ideals and derivations, Infinite Kostant cascades and centrally generated primitive ideals of \(U(\mathfrak{n})\) in types \(A_\infty\), \(C_\infty\), Ind-varieties of generalized flags: a survey, Strongly prime algebraic Lie PI-algebras, Integrable bounded weight modules of classical Lie superalgebras at infinity, The socle of a nondegenerate Lie algebra, An Artinian theory for Lie algebras, Algebras of quotients of graded Lie algebras, Locally simple subalgebras of diagonal Lie algebras, The Jordan socle and finitary Lie algebras, A class of simple matrix algebras, On a class of finitary Lie algebras characterized through derivations, Inner ideals of Lie algebras of skew elements of prime rings with involution, Locally semisimple and maximal subalgebras of the finitary Lie algebras \(\text{gl}(\infty)\), \(\text{sl}(\infty)\), \(\text{so}(\infty)\), and \(\text{sp}(\infty)\), The orbit method for locally nilpotent infinite-dimensional Lie algebras, Centrally generated primitive ideals of \(U(\mathfrak{n})\) in types B and D, The Lie Inner Ideal Structure of Associative Rings Revisited, Martindale Algebras of Quotients of Graded Algebras, Local systems in simple finitary lie algebras, Principal series representations of infinite-dimensional Lie groups, I: Minimal parabolic subgroups, Finitary Lie algebras., Representations of finitary Lie algebras, Tensor Representations of Mackey Lie Algebras and Their Dense Subalgebras, Serial subalgebras of finitary Lie algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinite-dimensional classical groups of finite \(r\)-rank: description of representations and asymptotic theory
- Irreducible finitary Lie algebras over fields of characteristic zero
- Complex finitary simple Lie algebras
- Unitary highest weight-modules of inductive limit Lie algebras and groups
- Diagonal locally finite Lie algebras and a version of Ado's theorem
- Simple Diagonal Locally Finite Lie Algebras
- Diagonal direct limits of simple lie algebras
- Irreducible finitary Lie algebras over fields of positive characteristic
- Serial subalgebras of finitary Lie algebras
- ON THE DEGREE OF RATIONAL APPROXIMATION OF MEROMORPHIC FUNCTIONS