The boundedness of Lusztig's a-function for Coxeter groups of finite rank

Q: What type of study is this?

This is a Quantitative Study study.

Xiaoyu Chen; Hongsheng Hu

doi:10.48550/arxiv.2503.06432

March 9, 2025Open Access

The boundedness of Lusztig's a-function for Coxeter groups of finite rank

View Full Paper

Ask AI

Bookmark

Share

Key Points

Lusztig's a-function is shown to be bounded for Coxeter groups of finite rank, confirming its determinability.
A specific bound, N'_L(W), is introduced for positively weighted Coxeter groups, indicating mathematical conditions.
The study provides insights into the structure of Coxeter groups and their associated functions, enhancing theoretical knowledge.
This research has implications for understanding group properties and representations in mathematics.

Implication

The proof establishes a bound for Lusztig's a-function in positively weighted Coxeter groups of finite rank.

Abstract

We prove that there exists a bound N'L(W) for a positively weighted Coxeter group $(W, S, L)$ of finite rank. In particular, Lusztig's a-function of $(W, S, L)$ is bounded.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Chen et al. (2025) studied this question.

synapsesocial.com/papers/68ece2abd1bb2827d12974c5 https://doi.org/10.48550/arxiv.2503.06432

View Full Paper

Ask AI

Bookmark

Share

The boundedness of Lusztig's a-function for Coxeter groups of finite rank

Key Points

Implication

Abstract

Discussion

Cite This Study

The boundedness of Lusztig's a-function for Coxeter groups of finite rank

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

More related papers

Keep reading

More related papers