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- W3115433592 abstract "The main aim of this paper is to show that one can construct [Formula: see text]-modules of [Formula: see text] associated with the finite-dimensional representation of [Formula: see text] by quantizing the moment map on the symplectic vector space [Formula: see text] and using the fact that [Formula: see text] is a dual pair. Then one obtains the [Formula: see text]-type formula, the Gelfand–Kirillov dimension and the Bernstein degree of them for all non-negative integers [Formula: see text] satisfying [Formula: see text] when [Formula: see text] and [Formula: see text] is even. In fact, one finds that the Gelfand–Kirillov dimension is equal to [Formula: see text] and the Bernstein degree is equal to [Formula: see text]." @default.
- W3115433592 created "2021-01-05" @default.
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- W3115433592 date "2021-01-18" @default.
- W3115433592 modified "2023-09-27" @default.
- W3115433592 title "(𝔤,K)-module of O(p,q) associated with the finite-dimensional representation of 𝔰𝔩2" @default.
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- W3115433592 doi "https://doi.org/10.1142/s0129167x21500099" @default.
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