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Covariant symmetric non-associative algebras on group representations
Abstract : When the vector space ? carries a representation p of the group G, if the decomposition of the symmetrized tensor product representation contains p, there exists a symmetrical non-associative algebra on ? with G a group of automorphisms.…
Zeros of covariant vector fields for the point groups : Invariant formulation
Abstract. 2014 All finite as well as infinite (matrix) point subgroups of full orthogonal groups in two and three dimensions
are considered. For each point group a polynomial integrity basis for invariants and the basic polynomial vector fields are…
are considered. For each point group a polynomial integrity basis for invariants and the basic polynomial vector fields are…
Extrema of P-invariant functions on the Brillouin zone
Exapnded version of a lecture fiven at Naples, on October 25, 1991 at a Colloquium in memory of Léon Vanhove
Abstract : This paper studies the number of extrema (and their positions) of a countinuous Morse function on the Brillouin zone, when it…
Abstract : This paper studies the number of extrema (and their positions) of a countinuous Morse function on the Brillouin zone, when it…