Overview
- Offers a comprehensive approach to advanced topics such as linear ODEs and generalized Wronskians, Schubert calculus for ordinary Grassmannians and vertex operators arising from the representation theory of infinite-dimensional Lie algebras
- Examines topics within a common interdisciplinary framework provided by the notions of linear recurrent sequences and Hasse-Schmidt derivations on a Grassmann algebra
- Provides a self-contained presentation of pioneering research material starting from elementary observations
- Includes supplementary material: sn.pub/extras
Part of the book series: IMPA Monographs (IMPA, volume 4)
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Table of contents(7 chapters)
About this book
Reviews
“It is entirely self-contained, and at the same time advanced in that it touches on many different areas in the fields of differential equations and mathematical physics and has further notes and references at the end of every chapter, as well as exercises highlightingfurther connections. … This book will be welcomed not only by scholars interested in generalized global coordinate-free settings, but also by students wishing to become acquainted with advanced areas of multilinear algebra and their applications.” (Rabe von Randow, zbMATH 1350.15001, 2017)
Authors and Affiliations
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Mathematical Sciences, Politecnico di Torino , Torino, Italy
Letterio Gatto
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São José do Rio Preto Campus, São Paulo State University São José do Rio Preto Campus, São José do Rio Preto, Brazil
Parham Salehyan
About the authors
Parham Salehyan graduated from Sharif University of Technology, Iran, and received his PhD in mathematics from the IMPA, Brazil, in 2003. He holds a permanent position at the Department of Mathematics of São Paulo State University - Unesp, São José do Rio Preto Campus. His research interests lie in algebraic geometry, mainly in the theory of Weierstrauss points on families of curves and, more recently, in the algebro-combinatorial aspects related to Schubert calculus.
Bibliographic Information
Book Title: Hasse-Schmidt Derivations on Grassmann Algebras
Book Subtitle: With Applications to Vertex Operators
Authors: Letterio Gatto, Parham Salehyan
Series Title: IMPA Monographs
DOI: https://doi.org/10.1007/978-3-319-31842-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-31841-7Published: 18 July 2016
Softcover ISBN: 978-3-319-81134-5Published: 31 May 2018
eBook ISBN: 978-3-319-31842-4Published: 08 July 2016
Edition Number: 1
Number of Pages: XXIV, 195
Number of Illustrations: 16 b/w illustrations
Topics: Linear and Multilinear Algebras, Matrix Theory, Ordinary Differential Equations, Operator Theory