Gaussian cubature arising from hybrid characters of simple Lie groups

Polytope contractions within icosahedral symmetry

Breaking of icosahedral Symmetry: C60 to C70

Dominant weight multiplicities in hybrid characters of Bn, Cn, F4, G2

Icosahedral symmetry breaking: C60 to C78, C96 and to related nanotubes

Icosahedral symmetry breaking: C60 to C78, C96 and to related nanoutubes, Acta Crystallographica (A70)

Dominant weight multiplicities in hybrid characters of Bn, Cn, F4, G2

C70, C80, C90, and carbon nanotubes by breaking of the icosahedral symmetry of C60

Four families of Weyl group orbit functions of B3 and C3

On generalizing the Shmushkevich method

Four families of Weyl group orbit functions of $B_3$ and $C_3$

Six types of E-functions of the Lie groups O(5) and G(2)

On Discretization of Tori of Compact Simple Lie Groups II

Three-variable exponentiol functions of the alternating group

Affine reflection groups for tiling applications: knot thoery and DNA

Centralizers of maximal regular subgroups of compact simple Lie groups

On E-functions of semisimple Lie algebras

Branching rules for Weyl group orbits of simple Lie Algebras Bn and Dn

Orthogonal polynomials of compact simple Lie groups

Cubature formulae for orthogonal polynomials in terms of elements of finite order of compact simple Lie groups

Orthogonal polynomials of compact simple Lie groups. The branching rules for polynomials

Two-dimensional symmetric and antisymmetric generalizations of sine functions

On E-discretization of tori of compact simple Lie groups

Two dimensional symmetric and antisymmetric generalizations of exponential and cosine functions

Tereszkiewicz, Orbit functions of SU(n) and Chebyshev polynomials

Branching rules for the Weyl group orbits of the Lie algebra A_n

On discretization of tori of compact simple Lie groups

Alternating group and multivariate exponential functions

Quasicrystal models in cryptography in Geometric Methods in Physics

Discretization of tori of exceptional simple Lie algebras

Invariants of Lie algebras via moving frame approach

On orbit functions, their properties and applications

Image sampling with quasicrystals

The rings of n-dimensional polytopes

Three-dimensional C-, S- and E-transforms

Computing with almost periodic functions

Alternating multivariate trigonometric functions and corresponding Fourier transforms

Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements

E-orbit functions

Edge detection algorithm based on DCT continuous extension technique

Discretization of compact semisimple Lie groups

Quasicrystals in cryptography, in Aspects of Network and information Security

Invariants of Lie algebras with fixed structure of nilradicals

(Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms

Fine group gradings of the real forms of sl(4,C), sp(4,C), and o(4,C)

Discrete and continuous exponential transforms of simple Lie groups of rank 2

Invariants of solvable Lie algebras with one nilindependent diagonal element

(Anti)symmetric multidimensional exponential functions and the corresponding Fourier transforms

Antisymmetric orbit functions

The discrete SU3 transform and its continuous extension for triangular lattices

Invariants of triangular Lie algebras

Fine gradings of the real forms of sl(4,C), sp(4,C) and o(4,C)

Orthogonality within the families of C-, S-, and E-functions of any compact semisimple Lie group

Graded contractions of the Pauli graded sl(3,C)

Computation of invariants of Lie algebras by means of moving frames

Discrete and continuous sine transform generalized to semisimple Lie groups of rank two

Orbit functions

Cosine transform generalized to Lie groups SU(2)xSU(2) and O(5): application to textural image processing

Multiresolution analysis of digital images using the continuous extension of discrete group transforms

Interpolation using cosine transforms generalized to Lie groups

Discrete and Continuous Cosine Transform Generalized to Lie Groups SU(3) and G(2)

Compact simple Lie groups and their $C$-, $S$-, and $E$-transforms

Classification of Voronoi and Delone tiles of quasicrystals. III. Decagonal acceptance window of any size

Discrete and Continuous Cosine Transform Generalized to Lie Groups SU(2)xSU(2) and O(5)

Fourier transform method for imaging atmospheric Cherenkov telescopes

Properties of continuous Fourier extension of the discrete cosine transform and its multidimensional generalization

Fine gradings of o(4,C),

Pauli graded contractions of sl(3,C)

Symmetry in Nonlinear Mathematical physics

Sharp and generating functions in group theory, in Symmetry in physics

Statistics and implementation of aperiodic pseudorandom number generators

Classification of distinct Voronoi and Delone tiles in two-dimensional quasicrystals with circular acceptance window of arbitrary size

Classification of distinct Voronoi and Delone tiles in two-dimensional quasicrystals : General Method

Graded contractions of Jordan algebras and of their representations

Algebraic solutions of the Neumann boundery value problems on fundamental region of a compact semisimple Lie group

Continuous extension of the discrete cosine transform and its applications to data processing, Proceedings of the Workshop

Application of the continuous extension of discrete cosine transform to images taken by FLIR detectors

Application of multidimensional discrete transforms on Lie groups for image processing

Innate brain language and grammar: Implications for human language and music, in Stochastic point processes

The eight fine gradings of sl(4,C) and o(6,C)

Affine extension of noncrystallographic Coxeter groups and quasicrystals

Automorphisms of a finest grading of sl(n,C)

The Music-Math Connection

Proving the deterministic period breaking of linear congruential generators using two tile quasicrystals

Combining random number generators using cut and project sequences

Fine grading of o(5, C), sp(4, C) and of their real forms

On fine gradings and their symmetries

Exceptional algebraic properties of the three quadratic irrationalities observed in quasicrystals

Acceptance windows compatible with a quasicrystal fragment, in From Quasicrystals to More Complex Systems

On Lie gradings. III. Gradings of the real forms of classical Lie algebras

sl(3, C) generator matrix elements in a Pauli subgroup basis

The fine gradings of sl(3,C) and their symmetries

Lattice-like properties of quasicrystal models with quadratic irrationalities, in Quantum Theory and Symmetries

Quasicrystal Lie algebras and their generalizations

Graded contractions of the Lie algebra e(2,1)

Minimal distances in quasicrystals

Inflation centers in cut and project quasicrystals

Non-crystallographic root systems, in Quasicrystals and Discrete Geometry

Densities, minimal distances, and coverings of quasicrystals

Quasicrystal Lie algebras

Tau wavelets in the plane

Selfsimilar Delone sets and cut and project quasicrystals

On Liegradings II

On gradings of Lie algebras and représentations, in Lie Theory and its Applications II

The signatures of finite dimensional representations of the de Sitter groups SO (4,1) and SO (3,2)

On the fine gradings of simple classical Lie algebras

Decomposition of tensor products of the fundamental representations of E8, in Advances in Mathematical Sciences

Simple physical generation of quasicrystals

Non-crystallographic root systems and quasicrystals, Proc. NATO ASI Aperiodic Long Ranger Order

Tau-wavelets of Haar

Dynamical generation of quasicrystals

Generating functions for the Coxeter group H4

Grading refinements in the contractions of Lie algebras and their invariants

Graded contractions of representations of orthogonal and symplectic Lie algebras with respect to their maximal parabolic subalgebras

Voronoi domains and dual cells in the generalized kaleidoscope with applications to root and weight lattices

Description of reflection generated polytopes using decorated Coxeter diagrams

The pentacrystals

Colourings of quasicrystals

Graded contractions of the affine Lie algebra $A^{(1)}_1$, its representations and tensor products, and an application to the branching rule $A^{(1)}_1\supset A^{(1)}_1$

Transitively differential groups of degree three

Graded contractions and kinematical groups of space-time

Graded contractions of representations of special linear Lie algebras with respect to their maximal parabolic subalgebras

Graded contractions of Casimir operators

Quasicrystals and icosians

Voronoi and Delaunay cells of root lattices: classification of their faces and facets by Coxeter-Dynkin diagrams

Orbit-orbit branching rules between simple low-rank algebras and equal-rank subalgebras

Discrete and continuous graded contractions of representations of Lie algebras

Discrete and continuous graded contractions of Lie algebras and superalgebras

The higher rank Virasoro algebras

Graded contractions of sl(3,C)

Affine Kac-Moody Algebras, Weight Multiplicities and Branching Rules

Solvable Lie algebras of dimension 4 over perfect fields

On intersections of A1 subgroups in the exceptional simple Lie groups E6, E7, E8

Subjoinings of affine Kac-Moody algebras

The construction of solvable Lie algebras from equidimensional nilpotent algebras

The 785 conjugacy classes of rational elements of finite order in E8

Simplie Users Manual; Macintosh software for représentations of simple Lie algebras

Tables of représentations of simple Lie algebras

Tables od dominant weight multiplicities for représentations of simple Lie algebras

Tables of dimensions, incidences, and branching rules for représentations of simple Lie algebras

Branching rules for représentations of simple Lie algebras