3 citations · 7 across the 5 of their papers we have counts for
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Supersymmetyric Analogues of the Classical Theorem on Harmonic Polynomials
Cuiling Luo, Xiaoping Xu
Classical harmonic analysis says that the spaces of homogeneous harmonic polynomials (solutions of Laplace equation) are irreducible modules of the corresponding orthogonal Lie gro…
Oscillator Variations of the Classical Theorem on Harmonic Polynomials
Cuiling Luo, Xiaoping Xu
We study two-parameter oscillator variations of the classical theorem on harmonic polynomials, associated with noncanonical oscillator representations of sl(n) and o(n). We find th…
Structure of polynomial representations for orthosymplectic Lie superalgebras
Cuiling Luo
Orthosymplectic Lie superalgebras are fundamental symmetries in modern physics, such as massive supergravity. However, their representations are far from being thoroughly understoo…
On polynomial representations of classical strange Lie superalgebras
Cuiling Luo
In 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 inde…
Noncanonical Polynomial Representations of Classical Lie Algebras
Cuiling Luo
Using the skew-symmetry of the differential operators and multiplication operators in the canonical representations of finite-dimensional classical Lie algebras, we obtain some non…