We give a new description of the ring structure on the differential characters of a smooth manifold via the smooth hyperspark complex. We show the explicit product formula, and as an application, calculate the product for differential characters of the unit circle. Applying the presentation of spark classes by smooth hypersparks, we give an explicit construction of the isomorphism between group...

Let G = Spin(4n + 1,C) be the connected, simply connected complex Lie group of type B2n and let G = Spin(p, q) (p + q = 4n + 1) denote a (connected) real form. If q / ∈ {0, 1}, G has fundamental group Z2 and we denote the corresponding nonalgebraic double cover by G̃ = S̃pin(p, q). The main purpose of this paper is to describe a symmetry in the set genuine parameters for the various G̃ at certain ...

is again a Dirichlet character modulo n. In fact, the set of Dirichlet characters modulo n is again a multiplicative group, called the dual group of (Z/nZ)× and denoted ̂ (Z/nZ)×. The identity element of the dual group, mapping every element of (Z/nZ)× to 1, is the trivial character modulo n, denoted 1n or just 1 when n is clear, Since (Z/nZ)× is a finite group the values taken by any Dirichlet ...

Myotis is the most speciose genus of mammals in world and recent taxonomic revisions have revealed an impressive diversity species South America. Even so, phenotypic conservatism some taxa makes delimitation difficult. We perform a review from Argentina based on qualitative quantitative morphological characters. Our results confirm occurrence 12 ( M. albescens , chiloensis dinellii izecksohni k...

In this paper we study the BGG-categories Oq associated to quantum groups. We prove that many properties of the ordinary BGG-category O for a semisimple complex Lie algebra carry over to the quantum case. Of particular interest is the case when q is a complex root of unity. Here we prove a tensor decomposition for both simple modules, projective modules, and indecomposable tilting modules. Usin...

The MAS group at the DFKI is developing ar-chitectures for animated agents in virtual worlds. Within the tradition of AI there are many techniques that can be used to model the cognitive abilities of such characters, in particular the ability to learn from the environment and plan actions that lead to a well deened goal. Some have argued, however, that these techniques are too complex Reilly, 1...

It is known that characters of BPS representations of extended superconformal algebras do not have good modular properties due to extra singular vectors coming from the BPS condition. In order to improve their modular properties we apply the method of Zwegers which has recently been developed to analyze modular properties of mock theta functions. We consider the case of N = 4 superconformal alg...

The present paper is a survey of a simple combinatorial model for the irreducible characters of complex semisimple Lie algebras, and, more generally, of complex symmetrizable Kac-Moody algebras. This model, which will be referred to as the alcove path model, can be viewed as a discrete counterpart to the Littelmann path model. It allows us to give character formulas and a LittlewoodRichardson r...

Online recognition of handwritten characters is gaining a renewed interest as it provides a natural way of data entry for a wide variety of handheld devices. In this paper, we present online handwriting recognition system for Ethiopic script based on the structural and syntactical analysis of the strokes forming characters. The complex structures of characters are represented by the spatiotempo...

The N170 component of EEG evoked by visual words is an index of perceptual expertise for the visual word across different writing systems. In the present study, we investigated whether these N170 markers for Chinese, a very complex script, could emerge quickly after short-term learning (∼ 100 min) in young Chinese children, and whether early writing experience can enhance the acquisition of the...