Coverart for item
The Resource Hasse-Schmidt Derivations on Grassmann Algebras : With Applications to Vertex Operators, by Letterio Gatto, Parham Salehyan, (electronic resource)

Hasse-Schmidt Derivations on Grassmann Algebras : With Applications to Vertex Operators, by Letterio Gatto, Parham Salehyan, (electronic resource)

Label
Hasse-Schmidt Derivations on Grassmann Algebras : With Applications to Vertex Operators
Title
Hasse-Schmidt Derivations on Grassmann Algebras
Title remainder
With Applications to Vertex Operators
Statement of responsibility
by Letterio Gatto, Parham Salehyan
Creator
Contributor
Author
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Gatto, Letterio
Dewey number
223
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Salehyan, Parham.
Series statement
  • Springer eBooks
  • IMPA Monographs
Series volume
4
http://library.link/vocab/subjectName
  • Mathematics
  • Matrix theory
  • Algebra
  • Operator theory
  • Differential equations
Label
Hasse-Schmidt Derivations on Grassmann Algebras : With Applications to Vertex Operators, by Letterio Gatto, Parham Salehyan, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-31842-4
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Control code
978-3-319-31842-4
Dimensions
unknown
Extent
1 online resource (XXIV, 195 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319318424
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-31842-4
Other physical details
16 illustrations.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)953456165
Label
Hasse-Schmidt Derivations on Grassmann Algebras : With Applications to Vertex Operators, by Letterio Gatto, Parham Salehyan, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-31842-4
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent.
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
Control code
978-3-319-31842-4
Dimensions
unknown
Extent
1 online resource (XXIV, 195 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319318424
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
  • c
Other control number
10.1007/978-3-319-31842-4
Other physical details
16 illustrations.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)953456165

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