# Tensor Operations on Group Schemes

## TL;DR

This paper explores tensor operations on commutative group schemes, providing theoretical insights, explicit calculations, and examples to demonstrate the natural behavior of the developed tensor theory.

## Contribution

It introduces a new framework for multilinear morphisms and tensor constructions on commutative group schemes, with explicit examples and calculations.

## Key findings

- Tensor operations behave as expected in the context of commutative group schemes.
- Explicit calculations illustrate the properties of the tensor constructions.
- Examples confirm the natural compatibility of the theory with existing mathematical structures.

## Abstract

In this paper we study multilinear morphisms between commutative group schemes and the associated tensor constructions. We will also do some explicit calculations and give examples that show that this theory behaves in a way that one would naturally expect.