Grassmann semialgebras and the Cayley-Hamilton theorem

DOI10.1090/bproc/53zbMath1468.16057arXiv1803.08093OpenAlexW3109527722MaRDI QIDQ5855578

Letterio Gatto, Louis Halle Rowen

Publication date: 19 March 2021

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08093

zbMATH Keywords

systemstriplesCayley-Hamilton theoremeigenvaluespower seriessemifieldsdifferentialstropical algebraHasse-Schmidt derivationsNewton's formulassemialgebrasexterior semialgebraseigenvectors Laurent seriesGrassmann semialgebras

Mathematics Subject Classification ID

Semifields (12K10) Semirings (16Y60) Exterior algebra, Grassmann algebras (15A75) Foundations of tropical geometry and relations with algebra (14T10)

Related Items

Universal factorization algebras of polynomials represent Lie algebras of endomorphisms, Semiring systems arising from hyperrings, Clifford semialgebras, Categories with negation, The cohomology of the Grassmannian is a gl_n-module, Projective systemic modules, Polynomial ring representations of endomorphisms of exterior powers, An informal overview of triples and systems, On the vertex operator representation of Lie algebras of matrices, Homology of systemic modules, Algebras with a negation map, $\mathcal{T}$-semiring pairs

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