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Title: Leading weight vectors in generalized verma modules
Authors: Xiao, Wei
Issue Date: 2012
Abstract: In this thesis, we systematically study the leading weight vectors in generalized Verma modules. As an application, we classify all the first order leading weight vectors and determine the corresponding Hom spaces between generalized Verma modules. Furthermore, in light of the correspondence between leading weight vectors and invariant differential operators, we obtain a practical criterion for the existence of first order invariant differential operators. This is an improvement of the result in [SS].
Description: Thesis (Ph.D.)--Hong Kong University of Science and Technology, 2012
viii, 64 p. : ill. ; 30 cm
HKUST Call Number: Thesis MATH 2012 Xiao
Appears in Collections:MATH Doctoral Theses

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