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Erratum to Do automatic mental associations detect a Flashbulb Memory? (Memory, (2013), 21, 4, 10.1080/09658211.2012.740050)
In the article, Lanciano, T., Curci, A., Mastandrea, S., & Sartori, G. (2013). Do automatic mental
associations detect a Flashbulb Memory? Memory, 21 (4). doi:10.1080/09658211.2012.740050.
When the above mentioned article was first published online, the results section reported, by mistake, a
few erroneous numbers.
The corrected data are reported below. Corrections do not alter the conclusions nor the interpretation of
the data
Esame di Stato per la professione di psicologo e cultura psicologica: cosa dobbiamo esaminare?
riflessione sul problema della selezione effettuata per l'esame di stato in Psicologi
Universality in orbit spaces of compact linear groups
If {p_1(x), ..., p_q(x)} is a minimal integrity basis of the ideal of polynomial invariants of a compact coregular linear group G, the orbit map p=(p_1(x) .... ,p_q(x)):R^n->R^q,
yields a diffeomorphic image S = p(R^n) \subset R^q of the orbit space R^n/G. Starting from this fact, we point out some properties which are common to the orbit spaces of all the compact coregular linear groups of transformations of R^n. In particular we show that a contravariant metric matrix P(p) can be defined in the interior of S, as
a polynomial function of (p_1, ...,p_q). We prove that the matrix P(p), which characterizes the set S, as it is positive semi-definite only for p \in S, can be determined as a solution of a canonical differential equation, which, for every compact coregular linear group, depends only on the number q and on the degrees of the elements of the minimal integrity bases. This allows to determine all the
isomorphism classes of the orbit spaces of the compact coregular linear groups through a determination of the equivalence classes of the corresponding matrices
P(p). For q<3 (orbit spaces with dimensions < 3), the solutions P(p) of the canonical equation are explicitly determined and the number of their equivalence
classes is shown to be finite. It is also shown that, with a convenient choice of the minimal integrity basis, the polynomial matrix elements of P(p) have only integer
coefficients. Arguments are given in favour of the conjecture that our conclusions hold true for all values of q. Our results are relevant and lead to universality properties in the physics of spontaneous symmetry breaking
Four dimensional orbit spaces of compact coregular linear groups
All four dimensional orbit spaces of compact coregular linear groups have been determined.
The results are obtained through the integration of a universal differential equation, that only
requires as input the number of elements of an integrity basis of the ideal of polynomial invariants
of the linear group. Our results are relevant and lead to universality properties in the physics
of spontaneous symmetry breaking at the classical level
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