Cbms Regional Conference Series in Mathematics Ser.: Invariant Theory and Superalgebras : Regional Conference by Gian-Carlo Rota, Joel A. Stein, American Mathematical Society Staff and Frank D. Grosshans (1987, Trade Paperback)

Informazioni su questo prodotto

Product Identifiers

PublisherAmerican Mathematical Society

ISBN-100821807196

ISBN-139780821807194

eBay Product ID (ePID)601326

Product Key Features

Number of Pages80 Pages

Publication NameInvariant Theory and Superalgebras : Regional Conference

LanguageEnglish

SubjectGeneral

Publication Year1987

TypeTextbook

Subject AreaMathematics

AuthorGian-Carlo Rota, Joel A. Stein, American Mathematical Society Staff, Frank D. Grosshans

SeriesCbms Regional Conference Series in Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Height0.5 in

Item Weight2.8 Oz

Item Length10 in

Item Width7.1 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN87-021146

Dewey Edition19

Series Volume Number69

Dewey Decimal510 s

Table Of ContentThe superalgebra super $[A]$; Laplace pairings; The standard basis theorem; Invariant theory; Examples.

SynopsisThis book brings the reader to the frontiers of research in some topics in superalgebras and symbolic method in invariant theory. Superalgebras are algebras containing positively-signed and negatively-signed variables. One of the book's major results is an extension of the standard basis theorem to superalgebras. This extension requires a rethinking of some basic concepts of linear algebra, such as matrices and coordinate systems, and may lead to an extension of the entire apparatus of linear algebra to signed modules.The authors also present the symbolic method for the invariant theory of symmetric and of skew-symmetric tensors. In both cases, the invariants are obtained from the symbolic representation by applying what the authors call the umbral operator. This operator can be used to systematically develop anticommutative analogs of concepts of algebraic geometry, and such results may ultimately turn out to be the main byproduct of this investigation. While it will be of special interest to mathematicians and physicists doing research in superalgebras, invariant theory, straightening algorithms, Young bitableaux, and Grassmann's calculus of extension, the book starts from basic principles and should therefore be accessible to those who have completed the standard graduate level courses in algebra and/or combinatorics., Superalgebras are algebras containing positively-signed and negatively-signed variables. This book contains some topics in superalgebras and symbolic method in invariant theory.

LC Classification NumberQA1.R33 no. 69