Exterior and Symmetric Powers of Modules for Cyclic 2-Groups

Abstract

We prove a recursive formula for the exterior and symmetric powers of modules for a cyclic 2-group. This makes computation straightforward. Previously, a complete description was only known for cyclic groups of prime order.

Cited by in corpus (2)

• Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic
• Jordan blocks of nilpotent elements in some irreducible representations of classical groups in good characteristic