WorldCat Identities

Goodman, Frederick M.

Overview
Works: 9 works in 35 publications in 2 languages and 469 library holdings
Roles: Author, Thesis advisor
Classifications: QA247, 512.55
Publication Timeline
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Most widely held works by Frederick M Goodman
Coxeter graphs and towers of algebras by Frederick M Goodman( Book )

17 editions published between 1987 and 2012 in English and held by 326 WorldCat member libraries worldwide

A recent paper on subfactors of von Neumann factors has stimulated much research in von Neumann algebras. It was discovered soon after the appearance of this paper that certain algebras which are used there for the analysis of subfactors could also be used to define a new polynomial invariant for links. Recent efforts to understand the fundamental nature of the new link invariants has led to connections with invariant theory, statistical mechanics and quantum theory. In turn, the link invariants, the notion of a quantum group, and the quantum Yang-Baxter equation have had a great impact on the study of subfactors. Our subject is certain algebraic and von Neumann algebraic topics closely related to the original paper. However, in order to promote, in a modest way, the contact between diverse fields of mathematics, we have tried to make this work accessible to the broadest audience. Consequently, this book contains much elementary expository material
Algebra : abstract and concrete by Frederick M Goodman( Book )

10 editions published between 1998 and 2003 in English and held by 135 WorldCat member libraries worldwide

"Uses linear algebra and complex numbers throughout. Highlights all theorems (propositions, lemmas, corollaries) and definitions in boxes. Features an abudance of high-quality exercises."
The Temperley-Lieb algebra at roots of unity by Frederick M Goodman( Book )

2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide

Derivations tangential to compact group actions : spectral conditions in the weak closure by Ola Bratteli( Book )

1 edition published in 1984 in English and held by 1 WorldCat member library worldwide

The heat semigroup and integrability of Lie algebras by O Bratteli( Book )

1 edition published in 1987 in English and held by 1 WorldCat member library worldwide

Cellularity and Jones basic construction by John Eric Graber( )

1 edition published in 2009 in English and held by 1 WorldCat member library worldwide

This thesis establishes a framework for cellularity of algebras related to the Jones basic construction. The framework allows a uniform proof of cellularity of Brauer algebras, BMW algebras, walled Brauer algebras, partition algebras, and others. In this setting, the cellular bases are labeled by paths on certain branching diagrams rather than by tangles. Moreover, for this class of algebras, the cellular structures are compatible with restriction and induction of modules
Unbounded derivations tangential to compact groups of automorphisms by Ola Bratteli( Book )

1 edition published in 1983 in English and held by 1 WorldCat member library worldwide

Coxeter-Dynkin diagrams and towers of algebras : towers of multi-matrix algebras by Frederick M Goodman( Book )

1 edition published in 1987 in French and held by 1 WorldCat member library worldwide

Dynkin diagrams and towers of algebras by Frederick M Goodman( Book )

1 edition published in 1986 in French and held by 1 WorldCat member library worldwide

 
Audience Level
0
Audience Level
1
  Kids General Special  
Audience level: 0.80 (from 0.00 for Dynkin dia ... to 1.00 for Cellularit ...)

Alternative Names
Goodman, F. M.

Languages
English (33)

French (2)

Covers