1,720,957 research outputs found
The Lascoux, Leclerc and Thibon algorithm and Soergel's tilting algorithm
No full textSteen Ryom-Hansen. Instituto de Matemática y Física, Univerdad de Talca, Chile.We generalize Soergel's tilting algorithm to singular weights and deduce from this the validity of the Lascoux-Leclerc-Thibon conjecture on the connection between the canonical basis of the basic submodule of the Fock module and the representation theory of the Hecke-algebras at root of unity
On the representation theory of an algebra of braids and ties
No full textRyom-Hansen, S (reprint author), Univ Talca, Inst Matemat & Fis, Talca, Chile.We consider the algebra epsilon(n)(u) introduced by Aicardi and Juyumaya as an abstraction of the Yokonuma-Hecke algebra. We construct a tensor space representation for epsilon(n)(u) and show that this is faithful. We use it to give a basis of epsilon(n)(u) and to classify its irreducible representations
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
Variations on the Author
Get PDF“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
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
Grading the translation functors in type A
No full textAbstractWe deal with the representation theory of quantum groups and Hecke algebras at roots of unity. We relate the philosophy of Andersen, Jantzen and Soergel on graded translated functors to the Lascoux, Leclerc and Thibon algorithm. This goes via the Murphy standard basis theory and the idempotents coming from the Murphy–Jucys operators. Our results lead to a guess on a tilting algorithm outside the lowest p2 alcove, which at least in the SL2-case coincides with Erdmann's results
The Ariki–Terasoma–Yamada tensor space and the blob algebra
No full textAbstractWe show that the Ariki–Terasoma–Yamada tensor module and its permutation submodules M(λ) are modules for the blob algebra when the Ariki–Koike algebra is a Hecke algebra of type B. We show that M(λ) and the standard modules Δ(λ) have the same dimensions, the same localization and similar restriction properties and are equal in the Grothendieck group. Still we find that the universal property for Δ(λ) fails for M(λ), making M(λ) and Δ(λ) different modules in general. Finally, we prove that M(λ) is isomorphic to the dual Specht module for the Ariki–Koike algebra
- …
