Group Theory webbook - literature

a highly random selection of vaguely related literature

Fun links


  Finding Moonshine: A Mathematician's Journey Through Symmetry
Marcus du Sautoy, Economist review
see also Times Online

Papers using birdtrack techniques


  Rational R-matrices, centralizer algebras and tensor identities for e_6 and e_7 exceptional families of Lie algebras
N. J. MacKay, A. Taylor

  Vector operators in the BMN correspondence
Umut Gursoy

  The U(1)s in the Finite N Limit of Orbifold Field Theories
Ehud Fuchs

  Some problems in loop calculations
J. A. M. Vermaseren

  Extended Gauge Theories in Euclidean Space with Higher Spin Fields
E. Gabrielli

Gluon colors
Color-flow decomposition of QCD amplitudes
Lectures on perturbative HQET / SU(N) birdtracks, A.G.Grozin
Sikora/birdtracks

Some exceptional Lie algebras publications

  Bulk and boundary $g_2$ factorized S-matrices
N. MacKay, B. Short

Beta Functions of Orbifold Theories and the Hierarchy Problem
C. Csaki, W. Skiba and J. Terning

On the dimension of a composition algebra
M. Rost

  Ein tensorkategorieller Zugang zum Satz von Hurwitz (A tensor-categorical approach to Hurwitz's theorem), Diplomarbeit ETH Zurich (March 1998)
D. Boos

Potts models/e_8 family
Wenzel on Deligne construction of except. Lie algebras
Deligne & Gross Magic Triangle paper
Pierre Deligne's Preprints
Exceptional groups/Luebeck
Nonlinear Sigma/E_6,E_7
abstract hep-th/9911139
supergrav/E_7
abstract hep-th/9707193
abstract math-ph/0208014/MacFarlane
abstract math-ph/0103021/MacFarlane
physics/9802012: A.J. Mountain
Invariant tensors and Casimir operators for simple compact Lie groups

IHX relation

Fusion and fission in graph complexes, J. Conant, Pacific Journal of Mathematics

Feynman diagrams

Feynman Diagrams and Vassiliev Invariants, R Longoni
A Technique for generating Feynman Diagrams

Negative dimensions

Patterns of Duality in N=1 SUSY Gauge Theories
Negative dimensional group extrapolation and dualities in N = 1 supersymmetric gauge theories
M(atrix) Theory on the Negative Light-Front
Misleading Anomaly Matchings?
Odd Sympl dims: Lattice path proofs for determinant formulas for symplectic and orthogonal characters

Planar Field Theory

G. 't Hooft "A planar diagram theory for strong interactions"
Nucl. Phys. B 72, 461 (1974).
A fundamental `birdtracks' paper. Introduced diagrammatic double-line notation for the adjoint representation of U(n). Does not introduce birdtrack projection operators for SU(n) and other groups. That is done in my 1976 paper.
G. 't Hooft "On the phase transition towards permanent quark confinement"
Nucl. Phys. B 138, 1 (1978).
No `birdtracks.' The projection operator for the adjoint representation of SU(n) given in (2.18) is the same as in the above 1976 paper and in birdtracks.eu, up to a normalization.
G. 't Hooft "Counting planar diagrams with various restrictions"
A very nice paper. Inter alia, rederives my 1981 planar field theory equations, without a citation.
Planar FT
Planar FT = free Fock
Planar FT/coherent
large N/brdtrtck
Functions of Orbifold Theories and the Hierarchy Problem (ResearchIndex)

Zero-dimensional Field Theory

cond-mat/0401500: Hedin's equations and enumeration of Feynman's graphs, Luca G. Molinari
zer-dim theory2/write?
Zero-dimensional field theory / write?
Negative rank/Hornfeck
Axial Anomaly And Dimensional Regularization - A Review (ResearchIndex)

Group Theory books

Symmetries, Lie algebras and representations,
Jürgen Fuchs and Christoph Schweigert, with many links to literature, Lie group programs etc..
ATLAS of Finite Group representations
ATLAS of Finite Group representations: contains representations of many finite simple groups and related groups such as covering groups and
R N Cahn: Group Theory book
CRM: DR: Simple Lie Algebras
Geometry.Net - Group_Theory books
Symmetries, Groups, Algebras
The Dog School of Mathematics Presents

Group Theory links

Octonions/baez
GR Group Theory
CVIT - Program for fast calculation of Dirac's <img>-matrices traces
CRM: DR: simpLie
Group Theory
Wild Birds Unlimited: San Jose, CA
GROUP THEORY LINKS
Jordan Theory Preprint Archives
Lie Groups and Quantum Mechanics
Membres du Laboratoire Gevrey de Mathématique Physique - Dijon
Superalgebras refs
Group Theory/geometry.net
Denotations of semi-simple Lie algebras
théorie des groupes/Jussieu
Xth Oporto Meeting Topology, Goeometry, Physics
Xth OPORTO MEETING ON GEOMETRY, TOPOLOGY AND PHYSICS: Courses