Home : Book details

Hasse-Schmidt Derivations on Grassmann Algebras: With Applications to Vertex Operators (IMPA Monographs, 4) free ebook download

Category:
Mathematics

Views: 196
Likes: 3

Catalogue

Author(s):	Letterio Gatto

Date:	2024	Format:	pdf	Language:	English	ISBN/ASIN:	3319318411
Pages:	219	OCR:		Quality:		ISBN13:
Uploader:	stirkout	Upload Date:	11/22/2023 3:41:11 PM

To download click on link in the Links Table below

Description: Click to see full description

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 Plcker 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.
Read more

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3209375	Book	https://nitroflare.com/view/7B833B7CB62E...		0.00	stirkout

Tags: Algebras Applications Derivations Grassmann Hasse-Schmidt IMPA Monographs Operators Vertex

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:

Comments

New comment:

Hasse-Schmidt Derivations on Grassmann Algebras: With Applications to Vertex Operators (IMPA Monographs, 4) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics