Tensors : geometry and applications / J M Landsberg

By:

Landsberg, J. M, author

Material type: Text

TextSeries: Graduate studies in mathematics ; 128.Publication details: Providence, R.I. ; Haryana ; American Mathematical Society, 2013.Edition: Indian editionDescription: xx, 439 pages : illustrations ; 24 cmISBN:

9781470409234

Subject(s):

DDC classification:

23 512.5 L239T

Contents:

pt. 1. Motivation from applications, multilinear algebra, and elementary results -- Multilinear algebra -- Elementary results on rank and border rank -- pt. 2. Geometry and representation theory -- Algebraic geometry for spaces of tensors -- Secant varieties -- Exploiting symmetry : representation theory for spaces of tensors -- Tests for border rank : equations for secant varieties -- Additional varieties useful for spaces of tensors -- Rank -- Normal forms for small tensors -- pt. 3. Applications -- The complexity of matrix multiplication -- Tensor decomposition -- P v. NP -- Varieties of tensors in phylogenetics and quantum mechanics -- pt. 4. Advanced topics -- Overview of the proof of the Alexander-Hirschowitz theorem -- Representation theory -- Weyman's method.

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Holdings
Item type	Current library	Call number	Vol info	Status	Date due	Barcode
Gift Books	Library and Documentation Division PGRRL	512.5 L239T (Browse shelf(Opens below))	V.128	Available		G016904

Gifted by NBHM

pt. 1. Motivation from applications, multilinear algebra, and elementary results --
Multilinear algebra --
Elementary results on rank and border rank --
pt. 2. Geometry and representation theory --
Algebraic geometry for spaces of tensors --
Secant varieties --
Exploiting symmetry : representation theory for spaces of tensors --
Tests for border rank : equations for secant varieties --
Additional varieties useful for spaces of tensors --
Rank --
Normal forms for small tensors --
pt. 3. Applications --
The complexity of matrix multiplication --
Tensor decomposition --
P v. NP --
Varieties of tensors in phylogenetics and quantum mechanics --
pt. 4. Advanced topics --
Overview of the proof of the Alexander-Hirschowitz theorem --
Representation theory --
Weyman's method.

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