812 research outputs found
k-deformed Poincare algebras and quantum Clifford-Hopf algebras
The Minkowski spacetime quantum Clifford algebra structure associated with
the conformal group and the Clifford-Hopf alternative k-deformed quantum
Poincare algebra is investigated in the Atiyah-Bott-Shapiro mod 8 theorem
context. The resulting algebra is equivalent to the deformed anti-de Sitter
algebra U_q(so(3,2)), when the associated Clifford-Hopf algebra is taken into
account, together with the associated quantum Clifford algebra and a (not
braided) deformation of the periodicity Atiyah-Bott-Shapiro theorem.Comment: 10 pages, RevTeX, one Section and references added, improved content
A BGG-type resolution for tensor modules over general linear superalgebra
We construct a Bernstein-Gelfand-Gelfand type resolution in terms of direct
sums of Kac modules for the finite-dimensional irreducible tensor
representations of the general linear superalgebra. As a consequence it follows
that the unique maximal submodule of a corresponding reducible Kac module is
generated by its proper singular vector.Comment: 11pages, LaTeX forma
Xue Han Zi: using multimedia to teach chinese
As the Chinese-speaking areas are becoming the focus of the world economy, more and more people are attracted by their language
and culture. The number of beginners in Chinese language is growing rapidly. Although the Chinese language has unique characteristics, there are still very few teaching and learning materials which serve the basic needs for starting the acquisition of Han Zi.
A multimedia application, both in CD-ROM and on-line, can provide a virtual teacher for understanding and learning Chinese writing at an elementary level and, without doubt, can attract more learners
Algebraic tools for the study of quaternionic behavioral systems
In this paper we study behavioral systems whose trajectories are given as solutions of quaternionic difference equations. As happens in the commutative case, it turns out that quaternionic polynomial matrices play an important role in this context. Therefore we pay special attention to such matrices and derive new results concerning their Smith form. Based on these results, we obtain a characterization of system theoretic properties such as controllability and stability of a quaternionic behavior
Buddhism in the Far North of Australia pre-WWII: (In)visibility, Post-colonialism and Materiality
Buddhism was first established in Australia through flows of migrants in the mid-nineteenth century, and is currently Australia’s fourth-largest religion. Yet Buddhists have received significantly less scholarly attention than Christians, Jews and Muslims in Australia. Previous research conducted on Buddhism in Australia has also largely centered on the southern states, and on white Buddhists. This article shares findings of archival research on Buddhism in the far north of Australia, focused on Chinese, Japanese, and Sri Lankan communities working in mining, pearling, and sugar cane industries, pre-WWII. It documents the histories of exclusion, resistance and belonging experienced by Australia’s Buddhists in the far north of Australia pre-WWII, during times of colonial oppression and Japanese internment. In so doing, this article challenges dominant narratives of a white Christian Australia, and also of white Buddhism in Australia, by rendering Asian communities in scholarship on religion in Australia more visible
Novel High Capacity Oligomers for Low Cost CO2 Capture
The novel concept of using a molecule possessing both physi-sorbing and chemi-sorbing properties for post-combustion CO2 capture was explored and mixtures of aminosilicones and hydroxyterminated polyethers had the best performance characteristics of materials examined. The optimal solvent composition was a 60/40 blend of GAP-1/TEG and a continuous bench-top absorption/desorption unit was constructed and operated. Plant and process models were developed for this new system based on an existing coal-fired power plant and data from the laboratory experiments were used to calculate an overall COE for a coal-fired power plant fitted with this capture technology. A reduction in energy penalty, from 30% to 18%, versus an optimized 30% MEA capture system was calculated with a concomitant COE decrease from 73% to 41% for the new aminosilicone solvent system
Irreducible Characters of General Linear Superalgebra and Super Duality
We develop a new method to solve the irreducible character problem for a wide
class of modules over the general linear superalgebra, including all the
finite-dimensional modules, by directly relating the problem to the classical
Kazhdan-Lusztig theory. We further verify a parabolic version of a conjecture
of Brundan on the irreducible characters in the BGG category \mc{O} of the
general linear superalgebra. We also prove the super duality conjecture
Formation and Structures of Horizontal Submarine Fluid Conduit and Venting Systems Associated With Marine Seeps
Funder: Spanish Marine Science and Technology ProgramAbstract: Methane‐rich water moves through conduits beneath the seafloor whose surfaces are formed through precipitation reactions. To understand how such submarine fluid conduit and venting systems form and grow, we develop a detailed mathematical model for this reaction‐advection system and we quantify the evolution of an ensemble of similar filaments. We show that this growth can be described by a superposition of advection and dispersion. We analyze analog laboratory experiments of chemical‐garden type to study the growth of a single filament undergoing a precipitation reaction with the surrounding environment. We apply these findings to geological fluid conduit and venting systems, showing that their irregular trajectories can lead to very effective spreading within the surrounding seabed, thus enhancing contact and exchanges of chemicals between the conduit and external fluids. We discuss how this methane venting leads to the formation of marine authigenic carbonate rocks, and for confirmation, we analyze two field samples from the Gulf of Cadiz for composition and mineralogy of the precipitates. We note the implications of this work for hydrate melting and methane escape from the seabed
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