Titlebook: Hasse-Schmidt Derivations on Grassmann Algebras; With Applications to Letterio Gatto,Parham Salehyan Book 2016 Springer International Publi

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Prologue,and the Kadomtsev–Petviashvili (KP) equation, a generalization of the KdV originally motivated by applications to plasma physics. Although the chapter’s contents might not seem related to the rest of the book in a straightforward manner, the KdV and KP equations are, surprisingly, linked to a number

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Algebras and Derivations, may refer to?[7, p.?24],?[99, Ch.?XVI, §7] and [99, Ch.?XIX] for more complete explanations. Additional combinatorial details are worked out in Section?. to describe the exterior algebra of a free module. Clifford algebras are introduced in Section?. in the customary way, as quotients of the tensor

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978-3-319-81134-5Springer International Publishing Switzerland 2016

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Book 2016nalogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their Wronskians, the exponential of a matrix with indetermina

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