# Representations of simple Jordan superalgebras

**Authors:** Iryna Kashuba, Vera Serganova

arXiv: 1906.12079 · 2020-05-14

## TL;DR

This paper fully classifies the categories of representations for finite-dimensional simple unital Jordan superalgebras over algebraically closed fields of characteristic zero, advancing understanding in algebraic representation theory.

## Contribution

It provides a complete description of the representation categories for these superalgebras, which was not previously known.

## Key findings

- Complete classification of representation categories
- New structural insights into Jordan superalgebras
- Foundation for further algebraic research

## Abstract

This paper completes description of categories of representations of finite-dimensional simple unital Jordan superalgebras over algebraically closed field of characteristic zero.

## Full text

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## References

31 references — full list in the complete paper: https://tomesphere.com/paper/1906.12079/full.md

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Source: https://tomesphere.com/paper/1906.12079