IRREDUCIBLE REPRESENTATIONS OF THE HAMILTONIAN ALGEBRAH(2r;n)
DOI10.1017/S1446788711001327zbMath1235.17005MaRDI QIDQ3173418
Publication date: 10 October 2011
Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)
dimension formulanumber of isomorphism classes of simple modulessimple moduleCartan type Lie algebrainduced modulegeneralized restricted Lie algebraexceptional modulegeneralized \(p\)-charactergeneralized reduced universal enveloping algebraheight of a generalized \(p\)-character\(\mathfrak{C}\)-categorygraded Hamiltonian Lie algebra
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Lie algebras of vector fields and related (super) algebras (17B66) Graded Lie (super)algebras (17B70) Modular Lie (super)algebras (17B50)
Related Items (3)
Cites Work
- A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic
- The generalized restricted representations of graded Lie algebras of Cartan type
- Simple restricted modules for the restricted Hamiltonian algebra
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- On the volume formulas of cones and orthogonal multi-cones in \(S^n(1)\) and \(H^n(-1)\)
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- ON SIMPLE MODULES FOR THE RESTRICTED LIE ALGEBRAS OF CARTAN TYPE
- GRADED LIE ALGEBRAS OF FINITE CHARACTERISTIC
- Simple modules with character height at most one for the restricted Witt algebras
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