# Geometric RTT realization of $U_v(gl_n)^+$

## TL;DR

This paper presents a geometric realization of the positive part of the quantum group of $U_v(gl_n)$ using RTT relations, providing a new perspective on its algebraic structure.

## Contribution

It introduces a BLM realization of $U_v(gl_n)^+$ based on RTT relations, which is a novel approach in quantum group theory.

## Key findings

- Establishes a geometric realization of $U_v(gl_n)^+$
- Connects BLM realization with RTT relations
- Provides new tools for studying quantum groups

## Abstract

In this paper, we give a BLM realization of the positive part of the quantum group of $U_v(gl_n)$ with respect to RTT relations.