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Jordan-hölder theorem for finite dimensional Hopf algebras
(American Mathematical Society, 2015-12)
We show that a Jordan-Hölder theorem holds for appropriately defined composition series of finite dimensional Hopf algebras. This answers an open question of N. Andruskiewitsch. In the course of our proof we establish ...
On extension theorems for holomorphic generalized functions
(Taylor & Francis Ltd, 2009-01-01)
We present two extension theorems for holomorphic generalized functions. The first one is a version of the classic Hartogs extension theorem. In this, we start from a holomorphic generalized function on an open neighbourhood ...
On extension theorems for holomorphic generalized functions
(Taylor & Francis Ltd, 2009-01-01)
We present two extension theorems for holomorphic generalized functions. The first one is a version of the classic Hartogs extension theorem. In this, we start from a holomorphic generalized function on an open neighbourhood ...
A contractive version of a Schur–Horn theorem in II1 factors
(Elsevier, 2008-01)
We prove a contractive version of the Schur–Horn theorem for submajorization in II1 factors that complements some previous results on the Schur–Horn theorem within this context. We obtain a reformulation of a conjecture ...
Discrete sampling theorem to Shannon’s sampling theorem using the hyperreal numbers ∗R
(Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica., 2021)
An application of localization to Galois cohomology.
(2011-10-13)
We use a localization theorem and a characterization of the first group of cohomology [H.sup.1](G, B) to give a new proof that the groups of cohomology [H.sup.i] (G, B) of finite cyclic extensions of number fields have ...
Legendre-transform structure derived from quantum theorems
(Elsevier Science, 2011-06)
By recourse to (i) the Hellmann–Feynman theorem and (ii) the virial one, the information-optimizing principle based on Fisher’s information measure uncovers a Legendre-transform structure associated with Schrödinger’s ...