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|Title:||Quivers and the Invariant Theory of Levi Subgroups|
|Authors:||Aslaksen, H. |
|Source:||Aslaksen, H., Tan, E.C., Zhu, C.B. (1994-02-15). Quivers and the Invariant Theory of Levi Subgroups. Journal of Functional Analysis 120 (1) : 163-187. ScholarBank@NUS Repository. https://doi.org/10.1006/jfan.1994.1028|
|Abstract:||We develop a theory of invariants using the formalism of quivers, generalizing earlier results attributed to Procesi. As an application, let H be the Levi component of a parabolic subgroup of a classical Lie group G with Lie algebra g. We describe a finite set of generators for P[g]H, the space of H-invariant polynomials on g, as well as the H-invariants in the universal enveloping algebra, U(g)H, thus generalizing the results of Klink and Ton-That, and Zhu. © 1994 Academic Press. All rights reserved.|
|Source Title:||Journal of Functional Analysis|
|Appears in Collections:||Staff Publications|
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