129,033 research outputs found
Parameters for which the Lawrence–Krammer representation is reducible
Get PDFAbstractWe show that the representation, introduced by Lawrence and Krammer to show the linearity of the braid group, is generically irreducible. However, for some values of its two parameters when these are specialized to complex numbers, it becomes reducible. We construct a representation of degree n(n−1)2 of the BMW algebra of type An−1. As a representation of the braid group on n strands, it is equivalent to the Lawrence–Krammer representation where the two parameters of the BMW algebra are related to those appearing in the Lawrence–Krammer representation. We give the values of the parameters for which the representation is reducible and give the proper invariant subspaces in some cases. We use this representation to show that for these special values of the parameters, the BMW algebra of type An−1 is not semisimple
Irreducibility of the Lawrence–Krammer representation of the BMW algebra of type A_(n−1)
Get PDFThe Lawrence–Krammer representation introduced by Lawrence and Krammer in order to show the linearity of the braid group
is generically irreducible.We show this fact and show further that for some values of its two parameters, when these are specialized
to complex numbers, the representation becomes reducible. We describe what these values are and give a complete description of
the dimensions of the invariant subspaces when the representation is reducible
THE FAITHFULNESS OF AN EXTENSION OF LAWRENCE-KRAMMER-BIGELOW REPRESENTATION ON THE GROUP OF CONJUGATING AUTOMORPHISMS in the cases and
Get PDFLet be the group of conjugating automorphisms. V. Bardakov defined a representation of , which is an extension of Lawrence-Krammer-Bigelow representation of the braid group . Bardakov proved that the representation is unfaithful for . The cases remain open. M. N. Nasser and M. N. Abdulrahim made attempts towards the faithfulness of in the case . In this work, we prove that is unfaithful in the both cases and
A Multi-Language Comparison of Influences on Author Verification using Character N-Grams
No full textWe create a new multi-language corpus for author verification based on Wikipedia talkpages, and evaluate the influence that differences in topic and time have on character n-gram author profiles. Topic alignment between two texts is found to increase author verification precision, and an authors writing style is found to change over time, but not more significantly after 3 years than after 1 year.Information ArchitectureWISElectrical Engineering, Mathematics and Computer Scienc
Appropriate Similarity Measures for Author Cocitation Analysis
Get PDFWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
The vanishing author in computer-generated works: a critical analysis of recent Australian case law
Get PDFAbstract
The use of software is ubiquitous in the creation of many copyright works, yet the requirement in copyright law that every work have a human author who engages in independent intellectual effort means that its use may prevent copyright subsistence. Several recent Australian cases have refocused attention on authorship as an essential criterion of copyright subsistence, and these cases suggest that much computer-produced output may be authorless and thus lack copyright protection. This article, the first in a two-part series, analyses how each case deals with the question of authorship of computer-produced works and why the use of software diminishes copyright protection for a significant number of computer-generated works. The article critiques the application of conventional notions of human authorship developed in the pre-computer age to modern productions and suggests alternative approaches to authorship that satisfy both the major objectives of copyright policy and the need to adapt to the computer age. The article argues that, without a broader judicial approach to authorship of computer-generated works, Parliament must remedy the lacuna in protection for these ‘authorless’ works. Possible solutions for reform are suggested. In a forthcoming article, the author comprehensively examines those reform proposals
The Lawrence–Krammer–Bigelow representations of the braid groups via Uq(sl2)
No full textAbstractWe construct representations of the braid groups Bn on n strands on free Z[q±1,s±1]-modules Wn,l using generic Verma modules for an integral version of Uq(sl2). We prove that the Wn,2 are isomorphic to the faithful Lawrence–Krammer–Bigelow representations of Bn after appropriate identification of parameters of Laurent polynomial rings by constructing explicit integral bases and isomorphism. We also prove that the Bn-representations Wn,l are irreducible over the fractional field Q(q,s)
Diffusive author(s), cohesive author: Analysis of S/N (1994)
No full textThis study indicates the ways in which various aspects of the author(s) are brought forth in Dumb type’s performance art, the S/N production. Previous research has suggested a non-hierarchical organization of Dumb type and the absence of a “privileged author” in Dumb type’s collaborative work, S/N. However, the results that I have investigated from member’s interviews on the creative process of S/N along with my analysis of the recorded images of S/N, indicate a different aspect of the author(s). First, S/N was created through, so to speak, the collective ideas of the members of Dumb type. Further, S/N has at least nine quotations from previous performances, installations, and printed writings, besides the work-in-progress technique. Explicating one of the “author functions” as given by Michel Foucault, each text has plural subjects of the author. However, it has been revealed from members’ interviews that Teiji Furuhashi had a decision-making role in selecting the members’ ideas within the performance. Since then, S/N has had plural subjects of creation; however, Furuhashi is one of the subjects of creation along with the “privileged author.” S/N has plural authors (diffusive authors) yet at the same time, it has a “privileged author,” Teiji Furuhashi (cohesive author)
What is behind the diagnosis of Learning Disabilities in Austrian schools? An empirical evaluation of the diagnostic process
Get PDFGebhardt M, Krammer M, Schwab S, Rossmann P, Gasteiger-Klicpera B. What is behind the diagnosis of Learning Disabilities in Austrian schools? An empirical evaluation of the diagnostic process. International Journal of Special Education. 2013;28
Dissipative Range Scaling of Higher Order Structure Functions for Velocity and Passive Scalars
No full textDifferently to Kolmogorov's second similarity hypothesis, we find that the 2n-th order velocity and scalar structure functions scale with n-th order moment of the energy dissipation and the scalar dissipation, respectively. The origins of this scaling are analyzed by the transport equations of the fourth order velocity and scalar increment moments and by direct numerical simulations
- …
