 (with Xinghua Deng):
Dworkin's argument revisited: Point Processes, Dynamics, Diffraction, and Correlations.
Preprint, March 2007 .
 (with JeongYup Lee):
Deforming model sets.
Preprint, March 2007.
 (with Michael Baake and Manuela Huer):
Similar sublattices of the root lattice A4.
Preprint, February 2007 .
 (with Jiri Patera):
Orthogonality with families of C, S, Efunctions of any compact semisimple Lie group.
Symmetry, Integrability and Geom.: Methods and Applications , Vol. 2 (2006), Paper 076.
 (with Michael Baake and Daniel Lenz):
Characterization of model sets by dynamical systems.
Ergod. Th. Dynam. Sys., 26 (2006) to appear.
 : Longrange order and diffraction.
Proceedings of a Conference on Groups and Lie Algebras, Ed. KenIchi Shinoda,
Sophia Kokyuroku in Mathematics, 46, 2006 .
 (with JeongYup Lee):
A Chararacterization of Model Multicolour Sets.
Annales Inst. Hénri Poincaré 7 (2006), 125143.
 Alice Boner and the Geometry of Temple Cave Art in India.
Proceedings of the 2005 Bridges Conference (Renaissance Banff),
Ed. Reza Sarhangi and Robert V. Moody, 2005
Bridges: Mathematical Connections in Art, Music, and Science.
 Mathematical Quasicrystals: A Tale of Two Topologies.
Preprint, to appear in the
Proceedings of the International Congress of Mathematical Physics, Lisbon, 2003.
 (with M. Baake):
Pure Point Diffraction,
J. of Noncrystaline Solids, 334&335 (2004) 7782.
 (with N. Strungaru):
Point Sets and Dynamical Systems in the Autocorrelation Topology,
Can. Math. Bull. 47(2004), 8299.
 (with M. Baake, C. Richard and B. Sing):
Which distributions of matter diffract? – Some answers.
In: Quasicrystals , Ed. H.R. Trebin, WileyVCH, Weinheim, 2003, 188207.
 (with JeongYup Lee and B. Solomyak):
Consequences of Pure Point Diffraction Spectra for Multiset Substitution Systems,
Discrete and Computational Geometry, 29 (2003) 525560.
 (with JeongYup Lee and B. Solomyak):
Pure Point Dynamical and Diffraction Spectra, Annales Inst. Hénri Poincaré, 3 (2002) 10031018.
 (with M. Baake and U. Grimm):
Die verborgene Ordnung der Quasikristalle.
Spektrum der Wissenschaften, Feb. 2002, 6474.
English translation: What is aperiodic order? arXiv:math.HO/0203252
 (with M. Baake):
Weighted Dirac combs with pure point diffraction, Journal für die reine und angewandte Mathematik (Crelle's Journal),
573 (2004), 6194.
 Uniform Distribution in Model Sets, Can. Math. Bull., 45 (1) (2002), 123130.
 (with JeongYup Lee):
Lattice Substitution Systems in Model Sets, Discrete and Computational Geometry, 25 (2001), 173201.
 (with M. Baake):
Selfsimilar Measures for Quasicrystals. In Directions in Mathematical Quasicrystals, ed. M. Baake and R.V. Moody, CRM Monograph Series, AMS, Providence, RI, 2000, pp. 142.
 (with J. Morita):
Positivity for K1 and K2. J. Algebra, 229 (2000) 124.
 (with M. Baake and P. Pleasants):
Diffraction from the visible lattice points and the k^{th} powerfree integers. J. Discrete and Computational Mathematics, 221 (2000) 342.
 (with M. Baake):
Similarity Submodules and Root Systems in Four Dimesions. Can. J. Math., 51 (1999) 12581276.
 Model sets: A Survey. In: From Quasicrystals to More Complex Systems, eds. F. Axel, F. Dénoyer, J.P. Gazeau, Centre de physique Les Houches, Springer Verlag, 2000, pp.
 (with M. Baake):
Diffractive point sets with entropy. J. Phys. A: Math. Gen., 31 (1999) 12581276.
 (with M. Baake and M. Schlottmann):
Limit(quasi)periodic point sets as quasicrystals with padic internal spaces. J. Phys. A: Math. Gen., 31 (1998) 57555765.
 (with M. Baake):
Multicomponent model sets and invariant densities. In Aperiodic '97, eds. M. de Boissieu, J.L. VergerGaugry, and R. Currat, World Scientific, Singapore, 1998, pp. 920.
 (with M. Baake):
Invariant submodules and semigroups of selfsimilarities for Fibonacci modules. In: Aperiodic '97, eds. M. de Boissieu, J.L. VergerGaugry, and R. Currat, World Scientific, Sigapore, 1998, pp. 2127.
 (with C. Hohnecker, P. Kramer and Z. Papadopolis):
Canonical icosahedral quasicrystals for the Fphase generated by coherent phases in physical space. J. Phys. A: Math. Gen., 30 (1997) 64936507.
 (with M. Baake):
Similarity submodules and semigroups. In: Quasicrystals and Discrete Geometry, ed. J. Patera, Comm. Fields Institute, AMS, Providence, RI, 1998, pp. 113.
 (with M. Baake):
Selfsimilarities and invariant densities for model sets. In Algebraic methods and theoretical physics, ed. Y. SaintAubin, Springer, New York, 2000. pp.
 (with J. Patera):
Minimal distances, densities, and coverings of quasicrytals. Comm. Math. Phys., 195 (1998) 613626.
 (with L. Chen and J. Patera):
Noncrystallographic root systems. In: Quasicrystals and Discrete Geometry, ed. J. Patera, Comm. Fields Institute, 10, AMS, Providence, RI, 1998.
 (with A. Pianzola):
KacMoody Lie algebras: a survey of their algebraic development over the first 30 years. In: Canadian Mathematical Society 19451995, eds. J.B. Carrell and R. Murty, CMS, Ottawa, ON, 1996, pp. 211245.
 Meyer Sets and Their Duals. In The Mathematics of Aperiodic Order, Proceedings of the NATOAdvanced Study Institute on Longrange Aperiodic Order, ed. R.V. Moody, NATO ASI Series C489, Kluwer Acad. Press, 1997. pp. 403441.
 (with Hohnecker, P. Kramer, Z. Papadopolis):
Generation of 3D icosahedral quasicrystals by matching phases in physical space. Proc. 5^{th} Int. Conf. on Quasicrystals, eds. C. Janot and R. Mosseri, World Scientific, Singapore 1995, pp. 112115.
 (with J. Patera):
Dynamical generation of quasicrystals. Letters in Mathematical Physics, 36 (1996) 291300.
 Meyer sets and the finite generation of quasicrystals. Symmetries in Science VIII, ed. B. Gruber, Plenum Press, New York, 1995.
 (with A. Weiss):
On shelling E8 quasicrystals. J. Number Theory. 47 (1994) 405412.
 (with J. Patera):
Voronoi domains and dual cells in the generalized kaleidoscope with applications to root and weight lattices. Can. J. Math., 47 (1995) 573605.
 (with J. Patera):
Colourings of quasicrystals. Can. J. Phys., 72 (1994) 442452.
 (with S. Berman):
The algebraic theory of quasicrystals with 5fold symmetries. J. Phys. A: Math. Gen., 27 (1994) 115129.
 (with M. Fabbri):
Irreducible representations of Virasorotoroidal Lie algebras. Comm. in Math. Phys., 159 (1994) 113.
 (with S. Eswara Rao):
Vertex representations for ntoroidal Lie algebras and a generalization of the Virasoro algebras. Comm. in Math. Phys., 159 (1994) 239264.
 (with J. Patera): Quasicrystals and icosians. J. Phys. A: Math. Gen., 26 (1993) 28292853.
 (with J. Patera):
A Coxeter diagram description of faces of Voronoi cells and their duals. Proc. XIX International Symposium on Group Theoretical Methods in Physics, 1992.
 (with J. Patera):
Voronoi and Delaunay cells of root lattices: classification of their faces and facets by CoxeterDynkin diagrams. J. Phys. A: Math. Gen., 25 (1992) 50895134.
 (with S. Eswara Rao and T. Yokonuma):
Lie algeras and Weyl groups arising from vertex operator representations. Nova J. of Algebras and Geometries, 1 (1992) 1557.
 (with Z. Shi):
Toroidal Weyl groups. Nova J. of Algebra and Geometries, 1 (1992) 317337.
 (with S. Berman):
Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy. Inventiones Mathematicae, 108 (1992) 323347.
 (with J. Patera):
Discrete and continuous graded contractions of representations of Lie algebras. J. Phys. A: Math. Gen., 24 (1991) 22272257.
 (with W. McKay, J. Patera and A. Pianzola):
The 785 conjugacy classes of rational elements of finite order in E8. Contemporary Mathematics, 110 (1990) 79123.
 (with S. Rao and T. Yokonuma):
Toroidal Lie algebras and vertex representations. Geometriae Dedicata, 35 (1990) 283307.
 (with J. Bliss and A. Pianzola):
Appendix to elliptic genera, involutions and homogeneous spin manifolds by Friedrich Hirzebruch and Peter Slodowy. Geometriae Dedicata, 35 (1990) 345351.
 (with A. Pianzola):
On infinite root systems. Trans. Amer. Math. Soc., 315 (1989) 661696.
 (with S. Berman and Y.S. Lee):
The spectrum of a Coxeter transformation, affine Coxeter transformations and the defect map. J. Algebra, 121 (1989) 339357.
 (with V. Kac and M. Wakimoto):
On E10, Differential Geometrical Methods in Theoretical Physics. Kluwer Acad. Pub., 1988.
 (with W.G. McKay, J. Patera and A. Pianzola):
The 785 conjugacy classes of rational elements of finite order in E8. Proc. Conf. on Lie Algebras and Related Topics, Madison, WI, 1988.
 (with A. Pianzola):
Infinite dimensional Lie algebras: an overview. Algebras, Groups and Geometries, 4 (1987) 165213.
 (with J. Patera):
Computation of character decompositions of class functions on compact semisimple Lie groups. Mathematics of Computation, 48 (1987) 799827.
 (with W.G. McKay and J. Patera):
Decomposition of tensor products of E8 representations. Algebras, Groups and Geometries, 3 (1986) 286328.
 (with G. Benkart):
Derivations, central extensions and affine Lie algebras. Algebras, Groups and Geometries, 3 (1986) 456492.
 (with J. Patera and W.G. McKay):
Table of E8 characters and decompositions of plethysms, Lie algebras and related topics. CMS Conference Proceedings, 5 (1986).
 (with M. Nicolescu, J. Patera and Sai Pin):
Verma bases for modules of classical simple Lie algebras. J. Math. Phys., 27 (1986) 668677.
 Generalized root systems and characters. Contemporary Mathematics, 45 (1985) 245269.
 (with J. Patera):
Elements of finite order in simple Lie groups and their applications. Proc. Conf. on Group Theoretical Methods in Physics (1984).
 (with J. Patera):
Characters of elements of finite order in Lie groups. SIAM Journal for Algebraic and Discrete Methods, 5 (1984) 359383.
 (with J. Patera):
General charge conjugation operators in simple Lie groups. J. Math. Phys., 25 (1984) 28382847.
 (with J. Patera and R. Sharp):
Character generators for elements of inite order in simple Lie groups A1, A2, A3, B2 and G2. J. Math. Phys., 24 (1983) 23872396.
 (with A. Pianzola):
Lamdamappings between representation rings of Lie algebras. Can. J. Math. 23 (1983) 898960.
 (with J. Patera):
Fast recursion formula for weight multiplicities. Bull. Amer. Math. Soc., 7 (1982) 237242.
 (with T. Yokonuma):
Root systems and cartan matrices. Can. J. Math., 34 (1982), 6379.
 Lie algebra subjoining mathematical reports. Academy of Science Canada, 2 (1980), 259264.
 Isomorphisms of upper cartanmatrix Lie algebras. Proc. of the London Mathematical Society, XL (1980) 430442.
 (with J. Lepowsky):
Hyperbolic Lie algebras and quasiregular cusps on Hilbert modular surfaces. Mathematische Annalen, 245 (1979) 6388.
 (with S. Berman):
Lie algebra multiplicities. Proc. Amer. Math. Soc., 76 (1979) 223228.
 Root systems of hyperbolic type. Advances in Mathematics, 33 (1979) 144160.
 Polynomial invariants of isometry groups of indefinite quadratic lattices. Tohoku J. of Mathematics, 30 (1978) 525535.
 Macdonald identities and Euclidean Lie algebras. Proc. Amer. Math. Soc., 48 (1975) 4352.
 (with S. Berman):
Extensions of Chevalley groups. Israel J. Math., 22 (1975) 4251.
 (with K.L. Teo):
Tits' systems with crystallographic Weyl groups. J. Algebra, 21 (1972) 178190.
 (with S. Berman and M. Wonenburger):
Cartan matrices with null roots and finite cartan matrices. Indiana Mathematics Journal, 21 (1972) 10911099.
 Simple quotients of Euclidean Lie algebras. Can. J. Math., 22 (1970) 839846.
 Euclidean Lie algebras. Can. J. Math., 21 (1969) 14321454.
 A new class of Lie algebras. J. Algebra, 10 (1968) 211230
 Lie algebras associated with generalized cartan matrices. Bull. Amer. Math. Soc., 73 (1967) 217221.
 Euclidean Lie algebras. Can. J. Math., 21 (1969) 14321454. (Republication of this paper in Selected Papers from the Canadian Journal of Mathematics.) 1996.
 HausdorffBanachTarski paradox. La Gazette des Sciences Mathematiques du Québec, XIV (1991) 1329.
 coeditor (with M. Baake):
Directions in Mathematical Quasicrystals, CRM Monograph Series, AMS, Providence, RI, 2000.
 editor:
The Mathematics of Aperiodic Order, Proceedings of the NATO Advanced Study Institute on longrange aperiodic order. Kluwer Acad. Publ., 1997.
 (with A. Pianzola):
Lie algebras with triangular decompositions. Canadian Mathematical Society Series, John Wiley Publishers, 1995.
 (with J. Patera, R. Slansky and S. Kass):
Affine Lie algebras, weight multiplicities and branching rules. University of California Press, 1991, 2 volumes, 897 pp.
 (edited with D.J. Britten and F.W. Lemire):
Lie algebras and related topics. CMS Conference Proceedings, Vol. 5, AMS, 1986.
 (with M. Bremner and J. Patera): Tables of weight space multiplicities. Marcel Dekker, 1983, 340 pp.
