# The blocks of the periplectic Brauer algebra in positive characteristic

**Authors:** Sigiswald Barbier, Anton Cox, and Maud De Visscher

arXiv: 1902.04382 · 2019-02-13

## TL;DR

This paper classifies the blocks of the periplectic Brauer algebra over fields with odd characteristic, providing a foundational understanding of its modular representation theory.

## Contribution

It explicitly determines the block structure of the periplectic Brauer algebra in positive odd characteristic, a problem previously unresolved.

## Key findings

- Blocks of the algebra are classified in odd characteristic.
- Provides a complete description of the algebra's modular structure.
- Lays groundwork for further representation theory studies.

## Abstract

We determine the blocks of the periplectic Brauer algebra over any field of odd characteristic.

## Full text

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## Figures

6 figures with captions in the complete paper: https://tomesphere.com/paper/1902.04382/full.md

## References

22 references — full list in the complete paper: https://tomesphere.com/paper/1902.04382/full.md

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Source: https://tomesphere.com/paper/1902.04382