Photo by yovanverma from unsplash
The Gelfand-Kirillov dimension is an invariant which can measure the size of infinite-dimensional algebraic structures. In this article, we show that it can also measure the reducibility of scalar generalized… Click to show full abstract
The Gelfand-Kirillov dimension is an invariant which can measure the size of infinite-dimensional algebraic structures. In this article, we show that it can also measure the reducibility of scalar generalized Verma modules. In particular, we use it to determine the reducibility of scalar generalized Verma modules associated with maximal parabolic subalgebras in the Hermitian symmetric case.
Keywords:
reducibility scalar;
generalized verma;
scalar generalized;
verma modules
Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Acta Mathematica Sinica, English Series
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!