Non-restricted representations of simple Lie superalgebras of special type and Hamiltonian type

作者：Yao YuFeng^*

来源：Science China Mathematics, 2013, 56(2): 239-252.

DOI：10.1007/s11425-012-4486-8

• restricted Lie superalgebra
• special Lie superalgebra
• Hamiltonian Lie superalgebra
• non-restricted representation
• singular (non-singular) character

Let be an algebraically closed field of prime characteristic p > 2, and g be a simple Lie superalgebra of special type or Hamiltonian type over . We construct the simple g-modules with non-singular characters of height more than one, and some simple modules with singular characters of height more than five. Furthermore, for the case of special type Lie superalgebras, we also construct a class of simple modules with regular semisimple characters of height one. All those simple modules mentioned above are proved to be reduced Kac modules.

• 出版日期2013-2
• 单位上海海事大学