Bott - Borel - Weil Construction For Quantum Supergroup Uq(gl(m|n))

The finite dimensional irreducible representations of the quantum supergroup $U_q(gl(m|n))$ are constructed geometrically using techniques from the Bott - Borel - Weil theory and vector coherent states.Comment: Latex, 22 page

Educational discourse: information technology in high school

Educational discourse demonstrates a number of characteristics, which can be analyzed and grouped according to various parameters. The Theme of Online and Blended Learning occupies a critical domain within the educational discourse, including the language of high school. The discourse of senior high school provides sets of stylistic and genre markers for the discourse, such as terminological and professional vocabulary that defines and clarifies concepts and categories within the discourse of education. These characteristics index and differentiate texts and affect the discourse flow as well as interdiscursively motivate its connections with other types of discourses in a larger network. The research o f pedagogical literature and regulatory documents examines the organizational, including operational aspects of online and blended learning, pedagogical experience, the use of related technologies and of competencies approach to support learning in a high school settin

Discourse of education: online and blended learning

The study examines some features of educational discourse, including the concepts of online and blended learning within the context of high school. The object of research is high school, especially senior high school. The author looks into discourse markers for the use of concepts in the discourse of education. The features differentiate texts, which belong to the educational discourse and its genres as well as show the markers of contemporary discourse within the contex

Realizations of the Lie superalgebra q(2) and applications

The Lie superalgebra q(2) and its class of irreducible representations V_p of dimension 2p (p being a positive integer) are considered. The action of the q(2) generators on a basis of V_p is given explicitly, and from here two realizations of q(2) are determined. The q(2) generators are realized as differential operators in one variable x, and the basis vectors of V_p as 2-arrays of polynomials in x. Following such realizations, it is observed that the Hamiltonian of certain physical models can be written in terms of the q(2) generators. In particular, the models given here as an example are the sphaleron model, the Moszkowski model and the Jaynes-Cummings model. For each of these, it is shown how the q(2) realization of the Hamiltonian is helpful in determining the spectrum.Comment: LaTeX file, 15 pages. (further references added, minor changes in section 5

The return of the bursts: Thermonuclear flashes from Circinus X-1

We report the detection of 15 X-ray bursts with RXTE and Swift observations of the peculiar X-ray binary Circinus X-1 during its May 2010 X-ray re-brightening. These are the first X-ray bursts observed from the source after the initial discovery by Tennant and collaborators, twenty-five years ago. By studying their spectral evolution, we firmly identify nine of the bursts as type I (thermonuclear) X-ray bursts. We obtain an arcsecond location of the bursts that confirms once and for all the identification of Cir X-1 as a type I X-ray burst source, and therefore as a low magnetic field accreting neutron star. The first five bursts observed by RXTE are weak and show approximately symmetric light curves, without detectable signs of cooling along the burst decay. We discuss their possible nature. Finally, we explore a scenario to explain why Cir X-1 shows thermonuclear bursts now but not in the past, when it was extensively observed and accreting at a similar rate.Comment: Accepted for publication in The Astrophysical Journal Letters. Tables 1 & 2 merged. Minor changes after referee's comments. 5 pages, 4 Figure