Baez, John C. 1961
Overview
Works:  16 works in 77 publications in 3 languages and 1,444 library holdings 

Roles:  Author, Editor 
Classifications:  QA169, 512 
Publication Timeline
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Most widely held works by
John C Baez
Towards higher categories by
John C Baez(
)
13 editions published between 2009 and 2010 in English and held by 452 WorldCat member libraries worldwide
13 editions published between 2009 and 2010 in English and held by 452 WorldCat member libraries worldwide
Gauge fields, knots, and gravity by
John C Baez(
Book
)
18 editions published between 1994 and 2011 in English and held by 328 WorldCat member libraries worldwide
18 editions published between 1994 and 2011 in English and held by 328 WorldCat member libraries worldwide
Introduction to algebraic and constructive quantum field theory by
John C Baez(
Book
)
12 editions published between 1991 and 2014 in English and held by 276 WorldCat member libraries worldwide
12 editions published between 1991 and 2014 in English and held by 276 WorldCat member libraries worldwide
Knots and quantum gravity by
John C Baez(
Book
)
9 editions published in 1994 in English and held by 225 WorldCat member libraries worldwide
9 editions published in 1994 in English and held by 225 WorldCat member libraries worldwide
Infinitedimensional representations of 2groups(
Book
)
13 editions published between 2011 and 2012 in English and held by 146 WorldCat member libraries worldwide
"A '2group' is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2groups have representations on '2vector spaces', which are categories analogous to vector spaces. Unfortunately, Lie 2groups typically have few representations on the finitedimensional 2vector spaces introduced by Kapranov and Voevodsky. For this reason, Crane, Sheppeard and Yetter introduced certain infinitedimensional 2vector spaces called 'measurable categories' (since they are closely related to measurable fields of Hilbert spaces), and used these to study infinitedimensional representations of certain Lie 2groups. Here we continue this work. We begin with a detailed study of measurable categories. Then we give a geometrical description of the measurable representations, intertwiners and 2intertwiners for any skeletal measurable 2group. We study tensor products and direct sums for representations, and various concepts of subrepresentation. We describe direct sums of intertwiners, and subintertwinersfeatures not seen in ordinary group representation theory. We study irreducible and indecomposable representations and intertwiners. We also study 'irretractable' representationsanother feature not seen in ordinary group representation theory. Finally, we argue that measurable categories equipped with some extra structure deserve to be considered 'separable 2Hilbert spaces', and compare this idea to a tentative definition of 2Hilbert spaces as representation categories of commutative von Neumann algebras."
13 editions published between 2011 and 2012 in English and held by 146 WorldCat member libraries worldwide
"A '2group' is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2groups have representations on '2vector spaces', which are categories analogous to vector spaces. Unfortunately, Lie 2groups typically have few representations on the finitedimensional 2vector spaces introduced by Kapranov and Voevodsky. For this reason, Crane, Sheppeard and Yetter introduced certain infinitedimensional 2vector spaces called 'measurable categories' (since they are closely related to measurable fields of Hilbert spaces), and used these to study infinitedimensional representations of certain Lie 2groups. Here we continue this work. We begin with a detailed study of measurable categories. Then we give a geometrical description of the measurable representations, intertwiners and 2intertwiners for any skeletal measurable 2group. We study tensor products and direct sums for representations, and various concepts of subrepresentation. We describe direct sums of intertwiners, and subintertwinersfeatures not seen in ordinary group representation theory. We study irreducible and indecomposable representations and intertwiners. We also study 'irretractable' representationsanother feature not seen in ordinary group representation theory. Finally, we argue that measurable categories equipped with some extra structure deserve to be considered 'separable 2Hilbert spaces', and compare this idea to a tentative definition of 2Hilbert spaces as representation categories of commutative von Neumann algebras."
This week's finds in mathematical physics by
John C Baez(
)
in English and held by 3 WorldCat member libraries worldwide
A compilation of weekly reviews of articles, etc., in mathematical physics since 1993. Includes links to abstracts
in English and held by 3 WorldCat member libraries worldwide
A compilation of weekly reviews of articles, etc., in mathematical physics since 1993. Includes links to abstracts
Physics, topology, logic and computation a Rosetta stone by
John C Baez(
)
1 edition published in 2009 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2009 in English and held by 3 WorldCat member libraries worldwide
Algorithmic thermodynamics by
John C Baez(
)
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide
Conformally invariant quantum fields by
John C Baez(
Book
)
2 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide
Strings and twodimensional QCD for finite N by
John C Baez(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
General relativity tutorial by
John C Baez(
)
in English and held by 1 WorldCat member library worldwide
A "bunch of interconnected web pages that serve as an informal introduction to general relativity. The goal is to demystify general relativity and get across the key ideas without big complicated calculations"Introductory paragraph
in English and held by 1 WorldCat member library worldwide
A "bunch of interconnected web pages that serve as an informal introduction to general relativity. The goal is to demystify general relativity and get across the key ideas without big complicated calculations"Introductory paragraph
Higher dimensional algebra by
John C Baez(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
The classifying space of a topological 2group by
John C Baez(
)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
School on category theory and applications : Coimbra, 1317/7/1999(
Book
)
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
1 edition published in 1999 in English and held by 1 WorldCat member library worldwide
Octoniones y teoría de cuerdas by
John C Baez(
)
in Spanish and held by 1 WorldCat member library worldwide
Resumen: De niños, todos nos familiarizamos con los números. Empezamos por aprender a contar y continuamos con las sumas, las restas, las multiplicaciones y las divisiones. Pero el sistema numérico que estudiamos en la escuela no es sino uno de entre muchos posibles. Otras clases de números se emplean con frecuencia en física o geometría. Una de las alternativas más extrañas la constituyen los octoniones. Ignorados en gran medida desde su descubrimiento, en 1843, a lo largo de las últimas décadas han cobrado una importancia curiosa en teoría de cuerdas. Si dicha teoría describe de manera correcta la naturaleza, quizá los octoniones escondan la explicación de por qué el universo tiene el número de dimensiones espaciotemporales que tiene
in Spanish and held by 1 WorldCat member library worldwide
Resumen: De niños, todos nos familiarizamos con los números. Empezamos por aprender a contar y continuamos con las sumas, las restas, las multiplicaciones y las divisiones. Pero el sistema numérico que estudiamos en la escuela no es sino uno de entre muchos posibles. Otras clases de números se emplean con frecuencia en física o geometría. Una de las alternativas más extrañas la constituyen los octoniones. Ignorados en gran medida desde su descubrimiento, en 1843, a lo largo de las últimas décadas han cobrado una importancia curiosa en teoría de cuerdas. Si dicha teoría describe de manera correcta la naturaleza, quizá los octoniones escondan la explicación de por qué el universo tiene el número de dimensiones espaciotemporales que tiene
The classifying space of a topological 2group(
)
1 edition published in 2008 in German and held by 1 WorldCat member library worldwide
1 edition published in 2008 in German and held by 1 WorldCat member library worldwide
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Algebra Algebraic topology Algorithms C*algebras Categories (Mathematics) Computational complexity Electromagnetism Gauge fields (Physics) General relativity (Physics) Knot theory Logic Mathematics Quantum field theory Quantum gravity Quantum theory Representations of groups Thermodynamics Topology