2,094 research outputs found

    The Action of the Symplectic Group Associated with a Quadratic Extension of Fields

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    AbstractGiven a quadratic extension L/K of fields and a regular alternating space (V, f) of finite dimension over L, we classify K-subspaces of V which do not split into the orthogonal sum of two proper K-subspaces. This allows one to determine the orbits of the group SpL(V, f) in the set of K-subspaces of V

    The structure of symplectic groups associated with a quadratic extension of fields

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    Given a quadratic extension L/K of fields and a regular alternating space (V, f) of finite dimension over L, we determine the isometry group of a K-subspace W of V which does not split into the orthogonal sum of two proper K-subspaces, W being neither an L-space nor a K-substructure

    A class of imprimitive groups

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    We classify imprimitive groups inducing the alternating group {\bf A}_4 on the set of blocks, with the inertia subgroup satisfying some very natural geometrical conditions which force the group to operate linearly

    Unitary groups acting on Grassmannians associated with a quadratic extension of fields.

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    Let (V,H) be an anisotropic Hermitian space of finite dimension over the algebraic closure of a real closed field K. We determine the orbits of the group of isometries of (V,H) in the set of the K-subspaces of V

    Algebraic (2,2)-transformation groups

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    In this paper we determine all algebraic trans-formation groups G, defined over an algebraical-ly closed field k, which operate transitively, but not primitively, on a variety ­M, provided the following conditions are fulfilled. We ask that the (non-effective) action of G on the va-riety of blocks is sharply 2-transitive, as well as the action on a block X of the normalizer Gx. Also we require sharp transitivity on pairs (X,Y)of independent points of M­, i.e. points con-tained in different blocks

    Imprimitive groups highly transitive on blocks

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    We classify imprimitive groups acting highly transitively on blocks and satisfying conditions common in geometry. They can be realized as suitable subgroups of twisted wreath products

    Derivations of the (2, n, 1)-nilpotent Lie Algebra

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    In this paper, we study derivations of the (2, n, 1)-nilpotent Lie Algebr

    Postal de Claudio Vivas a Maruja Vieira, junio 23 de 1955

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    Postal de Claudio Vivas a Maruja Vieira, felicitándola por el reconocimiento que le fue otorgado a la autora de poemasPostcard from Claudio Vivas to Maruja Vieira, congratulating her for the recognition given to the author of poems.Publicación, fondo Maruja Vieira, carpeta 1, folio

    Nilpotent Lie algebras with 2-dimensional commutator ideals

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    We classify all (finitely dimensional nilpotent Lie k-algebras h with 2-dimensional commutator ideals h', extending a known result to the case where h' is non-central and k is an arbitrary field. It turns out that, while the structure of h depends on the field k if h' is central, it is independent of k if h' is non-central and is uniquely determined by the dimension of h. In the case where k is algebraically or real closed, we also list all nilpotent Lie k-algebras h with 2-dimensional central commutator ideals h' and dimk h < 12

    “Dialogue between Translators and Authors. The Example of Claudio Magris”

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    The paper focuses on the forms of cooperation between authors and their translator(s) in all cases in which the two operate simultaneously. This issue is explored on the example of the Trieste-born author Claudio Magris, who cultivates a very close relationship with most of his translators. Writing and translation have been coexisting in this author throughout his career and have resulted in the heightened sensitivity of Magris the author with regards to translation, as the first part of the analysis shows. The second part describes the dialogue between Magris and the translators of his works, and ends with the more general question of the significance and role of such a form of exchange
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