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New Constructions in Classical Invariant Theory by Peter Frenkel (Paperback, 2010)

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Product Information

The three topics discussed in the three chapters of this thesis are only loosely related. Strictly speaking, only Chapter 1 is about invariant theory. Namely, it is shown that the invariant theory of the orthogonal group acting on the direct sum of several copies of the standard vector representation differs drastically over fields of characteristic 2 from the well-known theory in all other characteristics. As a result, we encounter non-classical behaviour also over the ring of integers. In Chapter 2, we work over the field of complex numbers. We obtain new formulae for the irreducible characters of the classical matrix groups, more specifically, we express them as fractions of polynomials in the entries of matrix powers. Our formulae can be viewed as unexpected constructions of conjugation invariant functions of matrices. In Chapter 3, we work over the real field, and we prove inequalities for positive semi-definite matrices. Chapter 3 is the most down-to-earth part of this thesis, it ends with an application to the problem of bounding from below the norm of a product of linear functionals.

Product Identifiers

Publisher
Lap Lambert Academic Publishing
ISBN-13
9783843383028
eBay Product ID (ePID)
104145207

Product Key Features

Author
Peter Frenkel
Publication Name
New Constructions in Classical Invariant Theory
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2010
Type
Textbook
Number of Pages
68 Pages

Dimensions

Item Height
229mm
Item Width
152mm
Item Weight
113g

Additional Product Features

Title_Author
Peter Frenkel
Country/Region of Manufacture
Germany

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