Curtis, Charles W.; Reiner, Irving Methods of representation theory, with applications to finite groups and orders. Vol. I. (English) Zbl 0469.20001 Pure and Applied Mathematics. A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XXI, 819 p. £40.70 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 16 ReviewsCited in 590 Documents MSC: 20-02 Research exposition (monographs, survey articles) pertaining to group theory 16-02 Research exposition (monographs, survey articles) pertaining to associative rings and algebras 20Cxx Representation theory of groups 16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) 16Gxx Representation theory of associative rings and algebras 16U30 Divisibility, noncommutative UFDs 20C05 Group rings of finite groups and their modules (group-theoretic aspects) 20C10 Integral representations of finite groups 20C15 Ordinary representations and characters 20C20 Modular representations and characters 20C25 Projective representations and multipliers 16P10 Finite rings and finite-dimensional associative algebras Keywords:representation theory of finite groups; modular representation theory of finite groups; representations of finite-dimensional algebras; semisimple algebras; Dedekind domains; projective covers; injective envelopes; Krull-Schmidt-Azumaya theorem; separable algebras; splitting fields; Frobenius reciprocity; Mackey’s theorems; Clifford theory; Hecke algebras; Brauer characters; vertices; sources; Green correspondence; p- solvable groups; hereditary orders; integral representation theory; projective modules over integral group rings; orders of finite representation type; Gorenstein orders PDF BibTeX XML