## Journal of Group Theory in Physics: JGTP., Volume 3, Issues 1-2 |

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### Contents

NUMBER 1 | 1 |

The CalogeroMoser Systems and The Weyl Groups | 13 |

Conjugacy Classes of Involutive Automorphisms | 21 |

Copyright | |

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### Common terms and phrases

automorphisms base space bundle representations Cartan classical coefficients commutational complex number consider corresponding Coxeter group defined denote dimensions discrete reflection groups dynamical elements equivalent Euclidean fibre finite finite-dimensional formulas function fundamental g-deformed Galilei group gauge group gauge theory gauge transformations global anomaly global gauge anomalies group G Group Theory Hamiltonian Hilbert space homotopy group integrable involutive automorphisms irreducible representations irrep Kac-Moody algebra Lett Lie algebra Lie groups linear extension Lorentz Math matrix mirror fermions models momentum non-commutative non-trivial nonrelativistic Nova Science Publishers obtained operators orthogonal oscillator algebra osp9 particle Phys Poincare polyhedron polynomials preoscillator projectively invariant Proposition quadratic deformation quantum groups quantum mechanics quantum superalgebra reduces relations relativistic representations of osp9(l|2 representations Tat restricted result Schrodinger equation solution subspace Theoretical Physics topological unification unitary vanish vector Weyl fermions Weyl group XL XL Yang-Mills equations