Commutative subalgebras of the Grassmann algebra

DOI10.1142/S021949881550125XzbMath1318.15011arXiv1403.2916OpenAlexW2964250671MaRDI QIDQ5255747

M. Zubor, Matyas Domokos

Publication date: 19 June 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.2916

zbMATH Keywords

Grassmann algebramaximal dimensioncommutative subalgebraintersecting set systemscommuting projections

Mathematics Subject Classification ID

Extremal set theory (05D05) Commutativity of matrices (15A27) Graded rings (13A02) Exterior algebra, Grassmann algebras (15A75) ``Super (or ``skew) structure (16W55)

Related Items (6)

Construction of a class of maximal commutative subalgebras of prime Leavitt path algebras ⋮ Matrix representations of finitely generated Grassmann algebras and some consequences. ⋮ Maximal commutative subalgebras of Leavitt path algebras ⋮ Unnamed Item ⋮ On constant-trace representations of degenerate Clifford algebras ⋮ Maximal commutative subalgebras of a Grassmann algebra

Cites Work

• On maximal commutative algebras of linear transformations
• Gotzmann theorems for exterior algebras and combinatorics
• INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
• Schur’s theorems on commutative matrices

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