ON SIMPLE MODULES FOR THE RESTRICTED LIE ALGEBRAS OF CARTAN TYPE

DOI10.1081/AGB-120015658zbMath1015.17018MaRDI QIDQ4796301

Chaowen Zhang

Publication date: 15 April 2003

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

dimension formulaheight of a characternumber of isomorphism classes of simple modulesreduced universal enveloping algebrarestricted Lie algebra of Cartan typesimple modulerestricted Hamiltonian algebrarestricted contact algebrarestricted special algebra

Mathematics Subject Classification ID

Simple, semisimple, reductive (super)algebras (17B20) Modular Lie (super)algebras (17B50)

Related Items (4)

IRREDUCIBLE REPRESENTATIONS OF THE HAMILTONIAN ALGEBRAH(2r;n) ⋮ Representations of the restricted Lie algebras of Cartan type ⋮ Simple modules for the restricted Cartan type Lie algebras ⋮ Cartan matrices for restricted Lie algebras

Cites Work

• Representations of the Witt algebra
• Dimensions of the simple restricted modules for the restricted contact Lie algebra
• Cartan invariants for the restricted toral rank two contact Lie algebra
• Simple restricted modules for the restricted Hamiltonian algebra
• Über Wittsche Lie-Ringe
• Automorphisms of graded lie algebras op cartan type
• Simple modules with character height at most one for the restricted Witt algebras
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