An improved lower bound for the maximal length of a multivector

DOI10.1007/s10910-018-0947-9zbMath1407.81133arXiv1711.05619OpenAlexW2963016089MaRDI QIDQ1714114

Patrick Cassam-Chenaï

Publication date: 31 January 2019

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05619

zbMATH Keywords

exterior algebraGrassmann spaceelectronic wave functionsantisymmetric tensor compressionmulti-vector length

Mathematics Subject Classification ID

Atomic physics (81V45) Quantum stochastic calculus (81S25) Molecular physics (81V55) Exterior algebra, Grassmann algebras (15A75)

Cites Work

• Irreducible lengths of trivectors of rank seven and eight
• Higher order, generalized, Schmidt decompositions for indistinguishable, overlapping particles
• Irreducible sums of simple multivectors
• On Grassmann secant extremal varieties
• Approximating a wavefunction as an unconstrained sum of Slater determinants
• A generalization of the plücker relations
• The Hopf algebra of identical, fermionic particle systems—Fundamental concepts and properties
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