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Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups.. We verify that the elementary canonical invariants of the sym- metric
Hangan proved that the Heisenberg group endowed with a left-invariant Riemannian metric does not admit any codi- mension 1 completely integrable totally geodesic distribution (see [ 5
There exist some examples of subalgebras of algebras of finite type over a field k which are not finitely generated but the associated reduced algebras ( which are still subalgebras
For unrestricted paths, if one assign a weight of 2 to each object (or substructure) counted by those statistics, computes the weight of each path, and then sums over the paths of
These appear to be new expressions for the MacMahon and Eulerian numbers, in terms of Stirling numbers of the second kind.. 5.2
Lucas E., Th´ eorie des fonctions num´ eriques simplement p´ eriodiques , Amer. Sury B., Trigonometric Expressions for Fibonacci and Lucas Numbers ,
Determinant, Matrix factorization, Generalized Pascal triangle, Generalized sym- metric (skymmetric) Pascal triangle, Toeplitz matrix, Recursive relation, Fibonacci (Lucas,
Give the description of all irreducible configurations (associated with a fixed graph Γ and an arrangement of numbers on its edges) up to a unitary transformation.... We enumerate