WorldCat Identities

Carter, Roger W. (Roger William)

Overview
Works: 20 works in 171 publications in 3 languages and 3,518 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Other, Editor
Publication Timeline
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Most widely held works by Roger W Carter
Simple groups of Lie type by Roger W Carter( Book )

31 editions published between 1972 and 1994 in English and Undetermined and held by 630 WorldCat member libraries worldwide

Finite groups of Lie type : conjugacy classes and complex characters by Roger W Carter( Book )

27 editions published between 1985 and 2007 in English and held by 485 WorldCat member libraries worldwide

Lectures on Lie groups and Lie algebras by Roger W Carter( Book )

24 editions published between 1995 and 2009 in English and held by 444 WorldCat member libraries worldwide

Enth.: Lie algebras and root systems / R.W. Carter. Lie group / Graeme Segal. Linear algebraic groups / I.G. Macdonald
Lie algebras of finite and affine type by Roger W Carter( Book )

14 editions published between 2005 and 2007 in English and held by 284 WorldCat member libraries worldwide

Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory of Kac-Moody algebras. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. The first half of the book deals with classification of the finite dimensional simple Lie algebras and of their finite dimensional irreducible representations. The second half introduces the theory of Kac-Moody algebras, concentrating particularly on those of affine type. A brief account of Borcherds algebras is also included. An Appendix gives a summary of the basic properties of each Lie algebra of finite and affine type
Representations of reductive groups by H. K Moffatt( Book )

15 editions published between 1998 and 2010 in English and held by 244 WorldCat member libraries worldwide

The representation theory of reductive algebraic groups and related finite reductive groups is a subject of great topical interest and has many applications. The articles in this volume provide introductions to various aspects of the subject, including algebraic groups and Lie algebras, reflection groups, abelian and derived categories, the Deligne-Lusztig representation theory of finite reductive groups, Harish-Chandra theory and its generalisations, quantum groups, subgroup structure of algebraic groups, intersection cohomology, and Lusztig's conjectured character formula for irreducible representations in prime characteristic
Algebraic groups and their representations by Roger W Carter( Book )

8 editions published in 1998 in English and held by 113 WorldCat member libraries worldwide

This volume contains articles by 20 leading workers in the field of algebraic groups and related finite groups. Articles on representation theory are written by Andersen on tilting modules, Carter on canonical bases, Cline, Parshall and Scott on endomorphism algebras, James and Kleshchev on the symmetric group, Littelmann on the path model, Lusztig on homology bases, McNinch on semisimplicity in prime characteristic, Robinson on block theory, Scott on Lusztig's character formula, and Tanisaki on highest weight modules. Articles on subgroup structure are written by Seitz and Brundan on double cosets, Liebeck on exceptional groups, Saxl on subgroups containing special elements, and Guralnick on applications of subgroup structure. Steinberg gives a new, short proof of the isomorphism and isogeny theorems for reductive groups. Aschbacher discusses the classification of quasithin groups and Borovik the classification of groups of finite Morley rank. Audience: The book contains accounts of many recent advances and will interest research workers and students in the theory of algebraic groups and related areas of mathematics
Seminar on algebraic groups and related finite groups, held at the Institute for Advanced Study, Princeton/NJ, 1968/69 by Armand Borel( Book )

10 editions published between 1970 and 1986 in 3 languages and held by 47 WorldCat member libraries worldwide

On the structure and complex representation theory of finite groups of Lie type by Roger W Carter( Book )

6 editions published in 1987 in English and German and held by 41 WorldCat member libraries worldwide

Some aspects of the representation theory of finite groups of Lie type by Roger W Carter( Book )

7 editions published between 1977 and 1979 in English and held by 35 WorldCat member libraries worldwide

Formationen auflösbarer Gruppen by Roger W Carter( Book )

7 editions published between 1966 and 1968 in German and Undetermined and held by 20 WorldCat member libraries worldwide

Extreme classes of finite soluble groups by Roger W Carter( Book )

3 editions published in 1970 in English and held by 11 WorldCat member libraries worldwide

Representations of the monster by Roger W Carter( Book )

3 editions published in 2002 in English and held by 10 WorldCat member libraries worldwide

Cluster algebras by Roger W Carter( Book )

3 editions published in 2006 in English and held by 10 WorldCat member libraries worldwide

Lie algebras by Roger W Carter( Book )

4 editions published in 1966 in English and Undetermined and held by 5 WorldCat member libraries worldwide

Modular representations of finite groups of Lie type by Roger W Carter( Book )

1 edition published in 1973 in English and held by 5 WorldCat member libraries worldwide

Weyl groups and finite Chevalley groups by Roger W Carter( Book )

2 editions published in 1970 in English and held by 4 WorldCat member libraries worldwide

Topics in the theory of groups by Roger W Carter( Book )

3 editions published in 1965 in English and Undetermined and held by 3 WorldCat member libraries worldwide

Carter's advanced accounts : a manual of book-keeping and accountancy for students by Roger W Carter( Book )

1 edition published in 1976 in English and held by 1 WorldCat member library worldwide

Simple groups of lie life by Roger W Carter( Book )

1 edition published in 1972 in English and held by 1 WorldCat member library worldwide

Advanced accounts : a manual of book-keeping and accountancy for students ... by Roger W Carter( Book )

in English and held by 0 WorldCat member libraries worldwide

 
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Lectures on Lie groups and Lie algebras
Alternative Names
Carter, R. W.

Carter, R. W. 1934-

Carter, R. W. (Roger William)

Carter, Roger

Carter, Roger 1934-

Carter, Roger (Roger William)

Carter, Roger W.

Carter, Roger William

Carter, Roger William 1934-

Roger Carter Amerikaans wiskundige

Roger Carter amerikansk matematikar

Roger Carter amerikansk matematiker

Roger Carter matemático británico

Roger Carter matematico statunitense

Roger Carter mathématicien américain

Roger Carter (数学者)

Roger W. Carter matematico statunitense

Роджер Картер

راجر کارتر ریاضی‌دان آمریکایی

Languages
English (157)

German (6)

Italian (1)

Covers
Finite groups of Lie type : conjugacy classes and complex charactersLectures on Lie groups and Lie algebrasLie algebras of finite and affine typeRepresentations of reductive groupsAlgebraic groups and their representationsSeminar on algebraic groups and related finite groups, held at the Institute for Advanced Study, Princeton/NJ, 1968/69Simple groups of lie life