Maximal commutative subalgebras of a Grassmann algebra
Victor A. Bovdi, Ho-Hon Leung
TL;DR
This paper explores the structure of the largest commutative subalgebras within finite-dimensional Grassmann algebras over fields with characteristic not equal to two.
Contribution
It provides a detailed analysis of the structure and properties of maximal commutative subalgebras in Grassmann algebras, a topic not extensively studied before.
Findings
Characterization of maximal commutative subalgebras
Structural properties identified for these subalgebras
Insights into their algebraic behavior and classification
Abstract
We investigate the structure of maximal commutative subalgebras of the finite dimensional Grassmann algebra over a field of characteristic different from two.
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