Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
121 tokens/sec
GPT-4o
9 tokens/sec
Gemini 2.5 Pro Pro
47 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

On the annihilator variety of a highest weight Harish-Chandra module (2408.07951v1)

Published 15 Aug 2024 in math.RT and math.RA

Abstract: Let $G$ be a Hermitian type Lie group with maximal compact subgroup $K$. Let $L(\lambda)$ be a highest weight Harish-Chandra module of $G$ with the infinitesimal character $\lambda$. By using some combinatorial algorithm, we obtain a description of the annihilator variety of $L(\lambda)$. As an application, when $L(\lambda)$ is unitarizable, we prove that the Gelfand-Kirillov dimension of $L(\lambda)$ only depends on the value of $z=(\lambda,\beta{\vee})$, where $\beta$ is the highest root.

Summary

We haven't generated a summary for this paper yet.

X Twitter Logo Streamline Icon: https://streamlinehq.com