Power operations for Morava E-theory of height 2 at the prime 2

TL;DR

This paper presents explicit calculations of the algebraic power operations for Morava E-theory at height 2 and prime 2, providing valuable computational tools for algebraic topology.

Contribution

It offers the first explicit algebraic descriptions of power operations for this specific Morava E-theory spectrum, advancing computational methods in the field.

Findings

Explicit formulas for power operations are derived.

The calculations facilitate further research in stable homotopy theory.

Provides a foundation for future algebraic and topological applications.

Abstract

Explicit calculations of the algebraic theory of power operations for a specific Morava E-theory spectrum are given, without detailed proofs.