The existence of Hall polynomials for $x^2$-bounded invariant subspaces of nilpotent linear operators

TL;DR

This paper proves the existence of Hall polynomials for a specific class of invariant subspaces within nilpotent linear operators, advancing the algebraic understanding of these structures.

Contribution

It establishes the existence of Hall polynomials for $x^2$-bounded invariant subspaces, a new result in the theory of nilpotent operators.

Findings

Hall polynomials exist for $x^2$-bounded invariant subspaces

Advances algebraic understanding of nilpotent operator subspaces

Provides foundational results for further algebraic research

Abstract

We prove the existence of Hall polynomials for $x^2$-bounded invariant subspaces of nilpotent linear operators.