Representation theory of finite groups and associative algebras. (reprint, 1962).0821840665Representation theory of finite groups In mathematics, representation theory is a technique for analyzing abstract groups in terms of groups of linear transformations. See the article on group representations for an introduction. This article discusses the representation theory of groups that have a finite number of elements. and associative algebras. (reprint, 1962) Curtis, Charles Curtis, Charles, 1860–1936, Vice President of the United States (1929–33), b. near North Topeka, Kans. Of part Native American background, Curtis lived for three years on a Kaw reservation. W. and Irving Reiner. Amer. Mathematical Society 2006 689 pages $89.00 Hardcover QA176 In this study of concrete realizations of the axiomatic systems of abstract algebra
Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, , Curtis and Reiner noted the increased emphasis in the 1950s on integral representations of groups and rings, which had been motivated by questions engendered by homological algebra Homological algebra is the branch of mathematics which studies homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precursor to algebraic topology) and abstract algebra (theory of . They cover background from group theory, representations and modules, algebraic number theory Algebraic number theory is a branch of number theory in which the concept of a number is expanded to the algebraic numbers which are mathematic roots of polynomials with rational number coefficients. , semi-simple rings and group algebras, group characters, induced characters, induced representations, non-smi-simple rings, Frobenius algebras, splitting fields and separable algebras, integral representations and modular representations. This facsimile edition includes the bibliography and index. ([c]20062005 Book News, Inc., Portland, OR) |
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