Robert Moody

Q: What Schools Are Affiliated With Robert Moody

Robert Moody is affiliated with the following schools: University of Alberta, University of British Columbia, University of Victoria, University of Toronto, University of Saskatchewan

Robert Moody's AcademicInfluence.com Rankings

Robert Moody

Mathematics

#207

World Rank

#467

Historical Rank

Algebra

#10

World Rank

#22

Historical Rank

Measure Theory

#2428

World Rank

#2904

Historical Rank

mathematics Degrees

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Mathematics

Why Is Robert Moody Influential?

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According to Wikipedia, Robert Vaughan Moody, is a Canadian mathematician. He is the co-discover of Kac–Moody algebra, a Lie algebra, usually infinite-dimensional, that can be defined through a generalized root system. "Almost simultaneously in 1967, Victor Kac in the USSR and Robert Moody in Canada developed what was to become Kac–Moody algebra. Kac and Moody noticed that if Wilhelm Killing's conditions were relaxed, it was still possible to associate to the Cartan matrix a Lie algebra which, necessarily, would be infinite dimensional." - A. J. Coleman

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Robert Moody's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The Mathematics of Long-Range Aperiodic Order (1997) (390)
Lie Algebras with Triangular Decompositions (1995) (382)
A new class of Lie algebras (1968) (282)
Toroidal Lie algebras and vertex representations (1990) (246)
Meyer Sets and Their Duals (1997) (230)
Model Sets: A Survey (2000) (205)
Generalized model sets and dynamical systems (2000) (204)
Weighted Dirac combs with pure point diffraction (2002) (188)
Pure Point Dynamical and Diffraction Spectra (2002) (176)
Directions in Mathematical Quasicrystals (2000) (176)
Vertex representations forN-toroidal Lie algebras and a generalization of the Virasoro algebra (1994) (172)
Lie algebras associated with generalized Cartan matrices (1967) (171)
Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy (1992) (161)
Quasicrystals and icosians (1993) (145)
On infinite root systems (1989) (139)
Mathematical quasicrystals and the problem of diffraction (2000) (130)
Tables of dominant weight mutliplicities for represen-tations of simple Lie algebras (1985) (123)
Characterization of model sets by dynamical systems (2005) (118)
Euclidean Lie Algebras (1969) (100)
Uniform Distribution in Model Sets (2002) (96)
Hulls of aperiodic solids and gap labeling theorems (2000) (96)
LIMIT-(QUASI)PERIODIC POINT SETS AS QUASICRYSTALS WITH P-ADIC INTERNAL SPACES (1998) (94)
Discrete and continuous graded contractions of representations of Lie algebras (1991) (93)
Diffraction from visible lattice points and kth power free integers (1999) (91)
Consequences of Pure Point Diffraction Spectra for Multiset Substitution Systems (2009) (89)
Affine Lie algebras, weight multiplicities, and branching rules (1990) (79)
Digit tiling of euclidean space (2000) (79)
Characters of Elements of Finite Order in Lie Groups (1984) (75)
Root systems of hyperbolic type (1979) (71)
Fast recursion formula for weight multiplicities (1982) (63)
Non-crystallographic root systems (1998) (62)
Lattice substitution systems and model sets (2000) (59)
Diffractive point sets with entropy (1998) (59)
Tits' systems with crystallographic Weyl groups (1972) (56)
The Spectrum of a Coxeter Transformation, Affine Coxeter Transformations, and the Defect Map (1989) (54)
Point Sets and Dynamical Systems In the Autocorrelation Topology (2004) (46)
Voronoi and Delaunay cells of root lattices: classification of their faces and facets by Coxeter-Dynkin diagrams (1992) (45)
Computation of character decompositions of class functions on compact semisimple Lie groups (1987) (44)
Orthogonality within the Families of C-, S-, and E-Functions of Any Compact Semisimple Lie Group (2006) (44)
Diffraction of Stochastic Point Sets: Explicitly Computable Examples (2008) (43)
On E 10 (1988) (43)
Cubature formulae for orthogonal polynomials in terms of elements of finite order of compact simple Lie groups (2010) (40)
Designer quasicrystals: Cut-and-project sets with pre-assigned properties (2000) (39)
Irreducible representations of Virasoro-toroidal Lie algebras (1994) (39)
Almost Periodic Measures and their Fourier Transforms (2017) (39)
Colourings of quasicrystals (1994) (37)
The planar dimer model with boundary: A survey (2000) (36)
Hyperbolic Lie algebras and quasi-regular cusps on Hilbert modular surfaces (1979) (35)
Self-Similar Measures for Quasicrystals (2000) (35)
Gaussian Cubature Arising from Hybrid Characters of Simple Lie Groups (2012) (34)
Similarity Submodules and Root Systems in Four Dimensions (1999) (33)
Macdonald identities and Euclidean Lie algebras (1975) (33)
Voronoi Domains and Dual Cells in the Generalized Kaleidoscope with Applications to Root and Weight Lattices (1995) (32)
The algebraic theory of quasicrystals with five-fold symmetries (1994) (32)
Similarity submodules and semigroups (1998) (31)
On Shelling E8 Quasicrystals (1994) (31)
Circular Symmetry of Pinwheel Diffraction (2006) (30)
A category of modules for the full toroidal Lie algebra (2009) (26)
Lie algebra multiplicities (1979) (26)
Fourier analysis of deformed model sets (2000) (25)
Meyer Sets and the Finite Generation of Quasicrystals (1995) (25)
Diffraction of Weighted Lattice Subsets (2007) (25)
Character generators for elements of finite order in simple Lie groups A1, A2, A3, B2, and G2 (1983) (22)
Verma bases for representations of classical simple Lie algebras (1986) (21)
General charge conjugation operators in simple Lie groups (1984) (21)
Multi-Component Model Sets and Invariant Densities (1998) (20)
Which distributions of matter diffract? - Some answers (2003) (20)
A Characterization of Model Multi-colour Sets (2005) (20)
Computing with almost periodic functions. (2008) (18)
Extinctions and Correlations for Uniformly Discrete Point Processes with Pure Point Dynamical Spectra (2009) (18)
Dworkin’s argument revisited: Point processes, dynamics, diffraction, and correlations (2007) (18)
Similar sublattices of the root lattice A4 (2007) (18)
Stationary processes and pure point diffraction (2011) (17)
MATHEMATICAL QUASICRYSTALS: A TALE OF TWO TOPOLOGIES (2006) (16)
Extensions of Chevalley groups (1975) (16)
Dynamical generation of quasicrystals (1996) (13)
How Model Sets Can Be Determined by Their Two-point and Three-point Correlations (2009) (12)
Taylor-Socolar Hexagonal Tilings as Model Sets (2012) (12)
Self-Similarities and Invariant Densities for Model Sets (1998) (12)
Tilings, *-algebras, and -theory (2000) (12)
Recent developments in the mathematics of diffraction (2008) (11)
λ-Mappings Between Representation Rings of Lie Algebras (1983) (11)
Gordon-type arguments in the spectral theory of one-dimensional quasi-crystals (2000) (10)
On shelling icosahedral quasicrystals (2000) (10)
New families of Weyl group orbit functions (2012) (10)
Simple Quotients of Euclidean Lie Algebras (1970) (9)
Densities, Minimal Distances, and Coverings of Quasicrystals (1998) (9)
Root Systems and Cartan Matrices (1982) (9)
Pure point diffraction (2004) (8)
Diffraction Theory of Point Processes: Systems with Clumping and Repulsion (2014) (8)
Quasicrystals, parametric density, and Wulff-shape (2000) (6)
Appendix to elliptic genera, involutions, and homogeneous spin-manifolds by Friedrich Hirzebruch and Peter Slodowy (1990) (5)
POLYNOMIAL INVARIANTS OF ISOMETRY GROUPS OF INDEFINITE QUADRATIC LATTICES (1978) (5)
Isomorphisms of Upper Cartan‐Matrix Lie Algebras (1980) (4)
Invariant Submodules and Semigroups of Self-Similarities for Fibonacci Modules (1998) (3)
The E8 Family of Quasicrystals (1994) (3)
CANONICAL ICOSAHEDRAL QUASILATTICES FOR THE F-PHASE GENERATED BY COHERENT PHASES IN PHYSICAL SPACE (1997) (3)
LONG-RANGE ORDER AND DIFFRACTION (2006) (3)
Diffraction of stochastic point sets: Exactly solvable examples (2008) (3)
Lie algebras and related topics : proceedings of a summer seminar held June 26-July 6, 1984 (1986) (3)
Weighted Model Sets and their Higher Point-Correlations (2009) (2)
Advanced Problems: 5320-5329 (1965) (2)
On the Penrose and Taylor–Socolar hexagonal tilings (2017) (2)
Discretization of SU(2) and the orthogonal group using icosahedral symmetries and the golden numbers (2017) (1)
Positivity for K1 and K2 (2000) (1)
Alice Boner and the Geometry of Temple Cave Art of India (2017) (0)
M G ] 2 3 O ct 2 00 9 Consequences of Pure Point Diffraction Spectra for Multiset Substitution Systems October 23 , 2009 (2009) (0)
Random point processes and tilings arising from Gaussian analytic functions (2014) (0)
Aperiodic Order, Vol. 1, A Mathematical Invitation by Michael Baake and UWE Grimm (2015) (0)
OF THE AMERICAN MATHEMATICAL SOCIETY Volume 33 , Number 3 , July 1996 Lie algebras with triangular decompositions (1996) (0)
0 30 10 19 v 1 1 5 Ja n 20 03 Which distributions of matter diffract ? — Some answers (2003) (0)
O ct 2 00 9 Pure Point Dynamical and Diffraction Spectra October 26 , 2009 (2009) (0)
Aperiodic Order, Vol. 1, A Mathematical Invitation by Michael Baake and UWE Grimm (2014) (0)
Introduction to modem abstract algebra, by D.M. Burton. Addison-Wesley, Reading, Massachusetts, 1967. vii +310 pages. $3.95. (1968) (0)
Gaussian Cubature Arising from Hybrid Characters of Simple Lie Groups (2014) (0)
Subgroups of Finite Groups, by S. A. Chunikhin. 142 pages. (English translation by Elizabeth Rowlinson.) Noordhoff, Groningen, 1969. U.S. $6.25. (1972) (0)
Diffraction Theory of Point Processes: Systems with Clumping and Repulsion (2015) (0)
0 . 1 Which distributions of matter diffract ? – Some answers (2002) (0)
Limit-( quasi-) periodic point sets as quasicrystalswith p-adic internal (1998) (0)
A ug 2 00 0 Self-Similar Measures for Quasicrystals (2008) (0)
Structure and Mathematical Modelling (2006) (0)
Problems for Solution: E1591-E1600 (1963) (0)
What is Patter n? (2022) (0)
The Penrose and the Taylor–Socolar tilings, and first steps to beyond (2021) (0)
Why Do Penrose Tilings Diffract? - Abstract (2003) (0)
0 O ct 2 00 5 A Characterization of Model Multi-colour Sets September 26 , 2018 (2021) (0)
Exploring the Idea of Order (2002) (0)
Deforming Meyer sets (2008) (0)

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What Schools Are Affiliated With Robert Moody?

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