Name: Hasse-Schmidt Derivations on Grassmann Algebras: With Applications to Vertex Operators
Price: 3521.00 TWD
Availability: InStock
Author: Gatto, Letterio ; Salehyan, Parham
ISBN: 9783319811345

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

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

Type

Physical Book

Author

Letterio Gatto

Parham Salehyan

Publisher

Springer

Language

English

Pages

195

Format

Paperback

Dimensions

23.4 x 15.6 x 1.2 cm

Weight

0.31 kg.

ISBN13

9783319811345

Synopsis "Hasse-Schmidt Derivations on Grassmann Algebras: With Applications to Vertex Operators"

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 subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their Wronskians, the exponential of a matrix with indeterminate entries (Putzer's method revisited), universal decomposition of a polynomial in the product of two monic polynomials of fixed smaller degree, Schubert calculus for Grassmannian varieties, and vertex operators obtained with the help of Schubert calculus tools (Giambelli's formula). Significant emphasis is placed on the characterization of decomposable tensors of an exterior power of a free abelian group of possibly infinite rank, which then leads to the celebrated Hirota bilinear form of the Kadomtsev-Petviashvili (KP) hierarchy describing the Plücker embedding of an infinite-dimensional Grassmannian. By gathering ostensibly disparate issues together under a unified perspective, the book reveals how even the most advanced topics can be discovered at the elementary level.

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Hasse-Schmidt Derivations on Grassmann Algebras: With Applications to Vertex Operators - Gatto, Letterio ; Salehyan, Parham

Synopsis "Hasse-Schmidt Derivations on Grassmann Algebras: With Applications to Vertex Operators"

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