Renato Martins

Localization of Free Field Realizations of Affine Lie Algebras

We use localization technique to construct new families of irreducible modules of affine Kac–Moody algebras. In particular, localization is applied to the first free field realization of the affine Lie algebra

Osteoinductive porous biphasic calcium phosphate ceramic as an alternative to autogenous bone grafting in the treatment of mandibular bone critical-size defects

{A_{1}^{(1)}}

Arqueologia de um mestre

A1(1) or, equivalently, to imaginary Verma modules.

Virasoro Action on Imaginary Verma Modules and the Operator Form of the KZ-Equation

In this article we construct certain free field realizations of the affine Lie algebras that depend on a fixed subset 𝕁 of N* and a parameter r, 0 ≤ r ≤ n. For r = 0 our construction generalizes the one obtained in [7] and coincides with the one studied in [26]. In the case r = n, we obtain a generalization of the well-known Wakimoto modules, [12].

Osseointegration of zirconia and titanium implants in a rabbit tibiae model evaluated by microtomography, histomorphometry and fluorochrome labeling analyses

The bone-induction capacity of a porous biphasic calcium phosphate (pBCP) using heterotopic implantation in mouse (mHI-model) and its efficacy as substitute for autograft in mandibular critical-size defect in rabbit (rabMCSD-model) was investigated. In mHI-model, pBCP was implanted into the thigh muscles and bone formation was histomorphometrically and immunohistochemically evaluated. In rabMCSD-model, 13 mm bone defects were treated with pBCP or autograft and bone repair comparatively evaluated by radiographic and histomorphometric methods. In mHI-model, formed bone and immunolabeling for bone morphogenetic protein-2 and osteopontin were observed in 90% of pBCP implanted samples after 12 weeks. In rabMCSD-model neither statistically significant difference was found in newly formed bone between pBCP and autograft groups at 4 weeks (18.8 ± 5.5% vs 27.1 ± 5.6%), 8 weeks (22.3 ± 2.7% vs 26.2 ± 5.1), and 12 weeks (19.6 ± 4.7% vs 19.6 ± 2.3%). At 12 weeks, the stability and contour of the mandible were restored in both treatments. Near tooth remaining, pBCP particles were covered by small amount of mineralized tissue exhibiting perpendicular attachments of collagen fiber bundles with histological characteristic of acellular cementum. Within the limitations of this study, it was concluded that pBCP is osteoinductive and able to stimulate the new formation of bone and cementum-like tissues in rabMCSD-model, suggesting that it may be an alternative to treatment of large bone defect and in periodontal regenerative therapy.

The three point gauge algebra

We construct a free field realization of generalized loop modules induced from admissible diagonal ℤ-graded irreducible modules of nonzero level for a Heisenberg subalgebra of untwisted affine Lie algebra of type A. Such generalized loop modules are irreducible as it was shown in Bekkert et al. [2]. We also extend this construction to modules induced from an arbitrary parabolic subalgebra of whose Levi factor is infinite-dimensional and contains .

\mathcal V\ltimes \mathfrak{sl}(2, \mathcal R) \oplus\left(\Omega_{\mathcal R}/d{\mathcal R}\right)

Sabe-se que o historiador Sérgio Buarque de Holanda (1902-1982), ao lado de suas obras de fôlego, sempre escreveu artigos para jornais, revistas e demandas editoriais das mais diversas, que depois foram parcialmente reunidos em coletâneas admiráveis. O próprio autor organizou alguns deles em Cobra de vidro (1944) e Tentativas de mitologia (1979); outros foram compilados por Maria Odila Silva Dias em Sérgio Buarque de Holanda, historiador (1985), por Francisco de Assis Barbosa em Raízes de Sérgio Buarque de Holanda (1988), por Antonio Candido em Capítulos de literatura colonial (1991), por Antonio Arnoni Prado em O espírito e a letra (1996) e por Marcos Costa em Para uma nova história: Textos de Sérgio Buarque de Holanda (2004). Escritos coligidos, de Sérgio Buarque de Holanda, também organizado e apresentado pelo historiador Marcos Costa, reúne 146 textos fundamentais e multifacetados do autor de Raízes do Brasil, mas que, em grande parte, não haviam sido contemplados por aquelas publicações. Portanto, seu lançamento é animador e merece destaque: a obra, dividida em dois volumes, acolhe um vasto material produzido entre 1920 e 1979, pincelado pelo organizador durante os dez anos em que re alizou pesquisa, sobretudo para sua dissertação de mestrado e sua tese de doutorado. E o resultado surpreende ao colocar o leitor diante de uma cuidadosa seleção de textos que, no conjunto, constituem uma fonte documental indispensável sobre o pensamento de Sérgio Buarque de Holanda. É bom lembrar, mesmo rapidamente, que, desde cedo, Sérgio Buarque manteve-se bastante articulado às questões culturais e políticas

and an action on a Fock space

We define the Virasoro algebra action on imaginary Verma modules for affine