On the algebraic K theory of the massive D8 and M9-branes

In this paper we review some basic relations of algebraic K theory and we formulate them in the language of D-branes. Then we study the relation between the D8-branes wrapped on an orientable, compact manifold W in a massive Type IIA, supergravity background and the M9-branes wrapped on a compact manifold Z in a massive d = 11 supergravity background from the K-theoretic point of view. By interpreting the D8-brane charges as elements of K-0(C(W)) and the (inequivalent classes of) spaces of gauge fields on the M9-branes as the elements of K-0(C(Z) x ((k) over bar*) G) where G is a one-dimensional compact group, a connection between charges and gauge fields is argued to exists. This connection could be realized as a composition map between the corresponding algebraic K theory groups.

Spacetime algebraic skeleton

The cosmological constant is shown to have an algebraic meaning: it is essentially an eigenvalue of a Casimir invariant of the Lorentz group acting on the spaces tangent to every spacetime. This is found in the context of de Sitter spacetimes, for which the Einstein equation is a relation between operators. Nevertheless, the result brings, to the foreground the skeleton algebraic structure underlying the geometry of general physical spacetimes. which differ from one another by the fleshening of that structure by different tetrad fields.

Solitons from dressing in an algebraic approach to the constrained KP hierarchy

The algebraic matrix hierarchy approach based on affine Lie sl(n) algebras leads to a variety of 1 + 1 soliton equations. By varying the rank of the underlying sl(n) algebra as well as its gradation in the affine setting, one encompasses the set of the soliton equations of the constrained KP hierarchy.The soliton solutions are then obtained as elements of the orbits of the dressing transformations constructed in terms of representations of the vertex operators of the affine sl(n) algebras realized in the unconventional gradations. Such soliton solutions exhibit non-trivial dependence on the KdV (odd) time flows and KP (odd and even) time Bows which distinguishes them From the conventional structure of the Darboux-Backlund-Wronskian solutions of the constrained KP hierarchy.

Algebraic properties of Rogers-Szego functions: I. Applications in quantum optics

By means of a well-established algebraic framework, Rogers-Szego functions associated with a circular geometry in the complex plane are introduced in the context of q-special functions, and their properties are discussed in detail. The eigenfunctions related to the coherent and phase states emerge from this formalism as infinite expansions of Rogers-Szego functions, the coefficients being determined through proper eigenvalue equations in each situation. Furthermore, a complementary study on the Robertson-Schrodinger and symmetrical uncertainty relations for the cosine, sine and nondeformed number operators is also conducted, corroborating, in this way, certain features of q-deformed coherent states.

Bromatological characteristics and in vitro digestibility of four sugarcane varieties subjected or not to the application of quicklime

O experimento foi conduzido para avaliar as características bromatológicas e a digestibilidade in vitro de quatro variedades de cana-de-açúcar submetidas ou não à hidrólise com cal virgem. Utilizou-se delineamento inteiramente casualizado com três repetições, arranjadas em esquema fatorial 4 × 2, com quatro variedades de cana-de-açúcar (SP 52454, RB 867515, RB 855536 e IAC 862480), hidrolisadas ou não. Houve efeito significativo para as características brix (p < 0,05) e fibra industrial (p < 0,05), sendo a variedade IAC 862480 a que apresentou os menores teores de fibra industrial. Não foram observadas diferenças significativas (p > 0,05) nos teores de fibra em detergente neutro, fibra em detergente ácido e lignina entre as variedades de cana-de-açúcar estudadas, bem como para cana-de-açúcar hidrolisada ou não. O uso da hidrólise da cana-de-açúcar com 1% de cal virgem melhora a digestibilidade in vitro da FDN e FDA independente da variedade estudada. A hidrólise com 1% de cal virgem não modificou a composição químico-bromatológica da cana-de-açúcar.

Mefenpyr-diethyl action on fenoxaprop-p-ethyl detoxification in wheat varieties

Protetores ou safeners protegem culturas contra a injúria de herbicidas. O propósito deste estudo foi investigar a suscetibilidade diferencial de cinco variedades de trigo (Triticum aestivum) ao herbicida fenoxaprop-p-ethyl e o efeito do protetor mefenpyr-diethyl na minimização da injúria do herbicida e sobre o conteúdo de lipídios. As variedades BRS 49, CD 104, CEP 24, IAPAR 78 e Rubi foram pulverizadas com fenoxaprop-p-ethyl (69 g ha-1), fenoxaprop-p-ethyl + mefenpyr‑diethyl (69 g + 18,75 g ha¹) ou mefenpyr-diethyl (18,75 g ha¹). A injúria das plantas foi avaliada visualmente aos 7 e 14 dias após o tratamento (DAT). A atividade da glutationa S-transferase (GST) foi analisada na parte aérea aos 7 DAT, e o conteúdo de lipídios, aos 14 DAT. As variedades CEP 24, IAPAR 78 e Rubi foram mais tolerantes ao fenoxaprop-p-ethyl do que a BRS 49, e a variedade CD 104 rapidamente se recuperou dos sintomas de intoxicação produzidos pelo herbicida. Mefenpyr-diethyl preveniu a injúria da cultura pelo herbicida. A atividade da GST não foi correlacionada diretamente com a desintoxicação do fenoxaprop-p-ethyl. Contudo, o conteúdo de lipídios esteve relacionado à suscetibilidade de trigo ao tratamento de fenoxaprop-p-ethyl.

An algebraic q-deformed form for shape-invariant systems

A quantum deformed theory applicable to all shape-invariant bound-state systems is introduced by defining q-deformed ladder operators. We show that these new ladder operators satisfy new q-deformed commutation relations. In this context we construct an alternative q-deformed model that preserves the shape-invariance property presented by the primary system. q-deformed generalizations of Morse, Scarf and Coulomb potentials are given as examples.

Causal propagators for algebraic gauges

Applying the principle of analytic extension for generalized functions we derive causal propagators for algebraic non-covariant gauges. The so-generated manifestly causal gluon propagator in the light-cone gauge is used to evaluate two one-loop Feynman integrals which appear in the computation of the three-gluon vertex correction. The result is in agreement with that obtained through the usual prescriptions.

ANOTHER QUADRATURE RULE OF HIGHEST ALGEBRAIC DEGREE OF PRECISION

We consider certain quadrature rules of highest algebraic degree of precision that involve strong Stieltjes distributions (i.e., strong distributions on the positive real axis). The behavior of the parameters of these quadrature rules, when the distributions are strong c-inversive Stieltjes distributions, is given. A quadrature rule whose parameters have explicit expressions for their determination is presented. An application of this quadrature rule for the evaluation of a certain type of integrals is also given.

Characterization of antibiosis and antixenosis to the whitefly silverleaf Bemisia tabaci B biotype (Hemiptera: Aleyrodidae) in several squash varieties

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Quantum algebraic description of the Moszkowski model

In this paper we investigate the behaviour of the Moukowski model within the mnten of quantum algebras. The Moszkwski Hamiltonian is diagonalized aractly for different numbers of panicles and for various values of the deformalion parameter of the quanlum algebra involved. We also include ranking in our system and observe its variation as a function of the deformation parameters. © 1992 IOP Publishing Ltd.

Affine Lie algebraic origin of constrained KP hierarchies

An affine sl(n + 1) algebraic construction of the basic constrained KP hierarchy is presented. This hierarchy is analyzed using two approaches, namely linear matrix eigenvalue problem on hermitian symmetric space and constrained KP Lax formulation and it is shown that these approaches are equivalent. The model is recognized to be the generalized non-linear Schrödinger (GNLS) hierarchy and it is used as a building block for a new class of constrained KP hierarchies. These constrained KP hierarchies are connected via similarity-Bäcklund transformations and interpolate between GNLS and multi-boson KP-Toda hierarchies. Our construction uncovers the origin of the Toda lattice structure behind the latter hierarchy. © 1995 American Institute of Physics.

On the Optimality of Finite Constellations from Algebraic Lattices

A construction technique of finite point constellations in n-dimensional spaces from ideals in rings of algebraic integers is described. An algorithm is presented to find constellations with minimum average energy from a given lattice. For comparison, a numerical table of lattice constellations and group codes is computed for spaces of dimension two, three, and four. © 2001.