Cuiling Luo
Structure of polynomial representations for orthosymplectic Lie superalgebras.
Thu, 01/21/2010 - 16:01 — SomNambulAuthors: Cuiling Luo
Subjects: Representation Theory
AbstractOrthosymplectic Lie superalgebras are fundamental symmetries in modern
physics, such as massive supergravity. However, their representations are far
from being thoroughly understood. In the present paper, we completely determine
the structure of their various supersymmetric polynomial representations
obtained by swapping bosonic multiplication operators and differential
operators in the canonical supersymmetric polynomial representations.On polynomial representations of classical strange Lie superalgebras.
Thu, 01/21/2010 - 16:01 — SomNambulAuthors: Cuiling Luo
Subjects: Representation Theory
AbstractIn this paper, various polynomial representations of strange classical Lie
superalgebras are investigated. It turns out that the representations for the
algebras of type P are indecomposable, and we obtain the composition series of
the underlying modules. As modules of the algebras of type Q, the polynomial
algebras are decomposed into a direct sum of irreducible submodules.
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