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| On Extensions of Conformal Representations of Orthogonal Lie Algebras |
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Citation： |
Cuiling LUO.On Extensions of Conformal Representations of Orthogonal Lie Algebras[J].Chinese Annals of Mathematics B,2026,(5):871~898 |
| Page view： 4
Net amount： 6 |
Authors： |
Cuiling LUO; |
Foundation： |
the National Natural Science Foundation of China (No. 11501163) and
Hebei Natural Science Foundation (No. A2025209003) |
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| Abstract： |
By using Shen’s technique of mixed product, Xu and Zhao constructed an
inhomogeneous representation on the tensor space of any finite-dimensional irreducible
o(n)-module with the polynomial space, and found a sufficient condition for this representation to be irreducible. In this paper, the author gives a sufficient and necessary condition
for the irreducibility of this representation. Note that the Laplace operator and partial
differential operators play important roles in the proof. |
Keywords： |
Irreducibility Polynomial space Laplace operator Orthogonal Lie algebra |
Classification： |
17B10 |
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