Families of isotropic subspaces of a symplectic Z/2-vector space

TL;DR

This paper introduces a new, non-inductive way to define families of isotropic subspaces in symplectic vector spaces over Z/2, revealing notable properties of these subspaces.

Contribution

It provides a novel non-inductive definition of isotropic subspace families in symplectic Z/2-vector spaces, enhancing understanding of their structure.

Findings

Defined families of isotropic subspaces with remarkable properties

Provided a non-inductive construction method

Enhanced understanding of symplectic vector space structure

Abstract

For a symplectic vector space V over Z/2 with a given circular basis we give a non-inductive definition of a family of isotropic subspaces of V with remarkable properties.