most citedNoncanonical Polynomial Representations of Classical Lie Algebras

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math.RT2010★ 1 cited

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…

math.RT2008★ 3 cited

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…