Hasse-Schmidt Derivations on Grassmann Algebras With Applications to Vertex Operators /

• Main Authors: Gatto, Letterio (Author), Salehyan, Parham (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: IMPA Monographs ; 4
• Subjects: Mathematics.; Matrix theory.; Algebra.; Operator theory.; Differential equations.; Linear and Multilinear Algebras, Matrix Theory.; Ordinary Differential Equations.; Operator Theory.

This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subje...

Table of Contents:

• Prologue
• Generic Linear Recurrence Sequences
• Algebras and Derivations
• Hasse-Schmidt Derivations on Exterior Algebras
• Schubert Derivations
• Decomposable Tensors in Exterior Powers
• Vertex Operators via Generic LRS
• Index.