Výsledky vyhledávání

Report

GUI-WORLD: A Dataset for GUI-oriented Multimodal LLM-based Agents

Recently, Multimodal Large Language Models (MLLMs) have been used as agents to control keyboard and mouse inputs by directly perceiving the Graphical User Interface (GUI) and generating corresponding code. However, current agents primarily exhibit ex

Externí odkaz: http://arxiv.org/abs/2406.10819

Zobrazit plný text záznamu

Report

The $q$-Schur algebras in type $D$, I, fundamental multiplication formulas

Autor: Du, Jie, Li, Yiqiang, Zhao, Zhaozhao

By embedding the Hecke algebra $\check H_q$ of type $D$ into the Hecke algebra $H_{q,1}$ of type $B$ with unequal parameters $(q,1)$, the $q$-Schur algebras $S^\kappa_q(n,r)$ of type $D$ is naturally defined as the endomorphism algebra of the tensor

Externí odkaz: http://arxiv.org/abs/2406.09057

Zobrazit plný text záznamu

Report

Hecke algebras and edge contractions

Autor: Li, Yiqiang

We establish an embedding from the Hecke algebra associated with the edge contraction of a Coxeter system along an edge to the Hecke algebra associated with the original Coxeter system.
Comment: v1.16 pages. Comments welcome. v2. An appendix on

Externí odkaz: http://arxiv.org/abs/2402.11407

Zobrazit plný text záznamu

Report

Critical Cohomological Hall Algebra and Edge Contraction

Autor: Li, Yiqiang, Ren, Jie

We study the behaviors of cohomological Hall algebras and relevant subjects under an edge contraction. Given a quiver with potential and fix an arrow, the edge contraction is a way to construct a new quiver with potential. We show that there is an al

Externí odkaz: http://arxiv.org/abs/2401.04839

Zobrazit plný text záznamu

Report

Quantum groups and edge contractions

Autor: Li, Yiqiang

We study the behaviors of quantum groups under an edge contraction. We show that there exists an explicit embedding induced by an edge contraction operation. We further conjecture that this explicit embedding is a section of an explicit subquotient.

Externí odkaz: http://arxiv.org/abs/2308.16306

Zobrazit plný text záznamu

Report

Embeddings among quantum affine $\mathfrak{sl}_n$

Autor: Li, Yiqiang

We establish an explicit embedding of a quantum affine $\mathfrak{sl}_n$ into a quantum affine $\mathfrak{sl}_{n+1}$. This embedding serves as a common generalization of two natural, but seemingly unrelated, embeddings, one on the quantum affine Schu

Externí odkaz: http://arxiv.org/abs/2208.07803

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání