@inbook{b4e917aaede14490ae27c3b1e65edb89,

title = "Hasse–schmidt derivations and cayley–hamilton theorem for exterior algebras",

abstract = "Using the natural notion of Hasse–Schmidt derivations on an exterior algebra, we relate two classical and seemingly unrelated subjects. The first is the famous Cayley–Hamilton theorem of linear algebra, “each endomor-phism of a finite-dimensional vector space is a root of its own characteristic polynomial”, and the second concerns the expression of the bosonic vertex operators occurring in the representation theory of the (infinite-dimensional) Heisenberg algebra.",

keywords = "Hasse-Schmidt Derivations on Grassmann Algebras, Theorem of Cayley and Hamilton, Vertex Operators",

author = "Letterio Gatto and Inna Scherbak",

note = "Publisher Copyright: {\textcopyright}2019 American Mathematical Society. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2019",

doi = "10.1090/conm/733/14739",

language = "אנגלית",

isbn = "9781470437824",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "149--165",

booktitle = "Functional analysis and geometry",

address = "ארצות הברית",

}