scholarly journals Skew Pieri Rules for Hall-Littlewood Functions

2012 ◽  
Vol DMTCS Proceedings vol. AR,... (Proceedings) ◽  
Author(s):  
Matjaž Konvalinka ◽  
Aaron Lauve
Keyword(s):  
Algebraic Identity ◽  
International Audience ◽  
Pieri Rules ◽  
Binomial Identity

International audience We produce skew Pieri Rules for Hall–Littlewood functions in the spirit of Assaf and McNamara (FPSAC, 2010). The first two were conjectured by the first author (FPSAC, 2011). The key ingredients in the proofs are a q-binomial identity for skew partitions that are horizontal strips and a Hopf algebraic identity that expands products of skew elements in terms of the coproduct and antipode. Nous produisons quelques règles dissymètrique de Pieri pour les fonctions Hall–Littlewood au sens de Assaf et McNamara (FPSAC, 2010). Les premières deux règles ont ètè conjecturèe par le premier auteur (FPSAC, 2011). Les principaux ingrèdients dans les preuves sont une identitè q-binomiale pour les partitions dissymètrique qui sont bandes horizontales et une identitè de Hopf qui exprime les produits d'èlèments dissymètrique en termes du coproduit et de l'antipode.

scholarly journals Pieri rules for Schur functions in superspace

2015 ◽  
Vol DMTCS Proceedings, 27th... (Proceedings) ◽  
Author(s):  
Miles Eli Jones ◽  
Luc Lapointe
Keyword(s):  
Generating Functions ◽  
Schur Functions ◽  
Macdonald Polynomials ◽  
International Audience ◽  
Pieri Rules

International audience The Schur functions in superspace $s_\Lambda$ and $\overline{s}_\Lambda$ are the limits $q=t= 0$ and $q=t=\infty$ respectively of the Macdonald polynomials in superspace. We present the elementary properties of the bases $s_\Lambda$ and $\overline{s}_\Lambda$ (which happen to be essentially dual) such as Pieri rules, dualities, monomial expansions, tableaux generating functions, and Cauchy identities. Les fonctions de Schur dans le superespace $s_\Lambda$ et $\overline{s}_\Lambda$ sont les limites $q=t= 0$ et $q=t=\infty$ respectivement des polynômes de Macdonald dans le superespace. Nous présentons les propriétés élémentaires des bases $s_\Lambda$ et $\overline{s}_\Lambda$ (qui sont essentiellement duales l'une de l'autre) tels que les règles de Pieri, la dualité, le développement en fonctions monomiales, les fonctions génératrices de tableaux et les identités de Cauchy.

scholarly journals Skew Littlewood―Richardson rules from Hopf algebras

2010 ◽  
Vol DMTCS Proceedings vol. AN,... (Proceedings) ◽  
Author(s):  
Thomas Lam ◽  
Aaron Lauve ◽  
Frank Sottile
Keyword(s):  
Hopf Algebras ◽  
Symplectic Group ◽  
Schur Functions ◽  
Affine Grassmannian ◽  
International Audience ◽  
Pieri Rules ◽  
Skew Schur Functions ◽  
Nous Utilisons

International audience We use Hopf algebras to prove a version of the Littlewood―Richardson rule for skew Schur functions, which implies a conjecture of Assaf and McNamara. We also establish skew Littlewood―Richardson rules for Schur $P-$ and $Q-$functions and noncommutative ribbon Schur functions, as well as skew Pieri rules for k-Schur functions, dual k-Schur functions, and for the homology of the affine Grassmannian of the symplectic group. Nous utilisons des algèbres de Hopf pour prouver une version de la règle de Littlewood―Richardson pour les fonctions de Schur gauches, qui implique une conjecture d'Assaf et McNamara. Nous établissons également des règles de Littlewood―Richardson gauches pour les $P-$ et $Q-$fonctions de Schur et les fonctions de Schur rubbans non commutatives, ainsi que des règles de Pieri gauches pour les $k-$fonctions de Schur, les $k-$fonctions de Schur duales, et pour l'homologie de la Grassmannienne affine du groupe symplectique.

scholarly journals Kraskiewicz-Pragacz modules and Pieri and dual Pieri rules for Schubert polynomials

2020 ◽  
Vol DMTCS Proceedings, 28th... ◽  
Author(s):  
Masaki Watanabe
Keyword(s):  
Tensor Product ◽  
Lie Algebra ◽  
Schubert Polynomials ◽  
Special Cases ◽  
International Audience ◽  
Pieri Rules

International audience In their 1987 paper Kraskiewicz and Pragacz defined certain modules, which we call KP modules, over the upper triangular Lie algebra whose characters are Schubert polynomials. In a previous work the author showed that the tensor product of Kraskiewicz-Pragacz modules always has KP filtration, i.e. a filtration whose each successive quotients are isomorphic to KP modules. In this paper we explicitly construct such filtrations for certain special cases of these tensor product modules, namely Sw Sd(Ki) and Sw Vd(Ki), corresponding to Pieri and dual Pieri rules for Schubert polynomials.

Somethin’ about Scandinavia: Danish Shorts on the Post-war International Scene

2018 ◽  
Author(s):  
C. Claire Thomson
Keyword(s):  
United Nations ◽  
International Collaboration ◽  
Marshall Plan ◽  
The Third ◽  
Animated Film ◽  
International Audience ◽  
Post War ◽  
Nordic Cooperation

Building on the picture of post-war Anglo-Danish documentary collaboration established in the previous chapter, this chapter examines three cases of international collaboration in which Dansk Kulturfilm and Ministeriernes Filmudvalg were involved in the late 1940s and 1950s. They Guide You Across (Ingolf Boisen, 1949) was commissioned to showcase Scandinavian cooperation in the realm of aviation (SAS) and was adopted by the newly-established United Nations Film Board. The complexities of this film’s production, funding and distribution are illustrative of the activities of the UN Film Board in its first years of operation. The second case study considers Alle mine Skibe (All My Ships, Theodor Christensen, 1951) as an example of a film commissioned and funded under the auspices of the Marshall Plan. This US initiative sponsored informational films across Europe, emphasising national solutions to post-war reconstruction. The third case study, Bent Barfod’s animated film Noget om Norden (Somethin’ about Scandinavia, 1956) explains Nordic cooperation for an international audience, but ironically exposed some gaps in inter-Nordic collaboration in the realm of film.

Conclusion

2018 ◽  
Author(s):  
Alistair Fox
Keyword(s):  
National Identity ◽  
New Zealand ◽  
Identity Formation ◽  
Essential Role ◽  
Coming Of Age ◽  
Financial Returns ◽  
Self Recognition ◽  
International Audience ◽  
National Identity Formation

The conclusion reaffirms the essential role played by cinema generally, and the coming-of-age genre in particular, in the process of national identity formation, because of its effectiveness in facilitating self-recognition and self-experience through a process of triangulation made possible, for the most part, by a dialogue with some of the nation’s most iconic works of literature. This section concludes by point out the danger posed, however, by an observable trend toward generic standardization in New Zealand films motivated by a desire to appeal to an international audience out of consideration for the financial returns expected by funding bodies under current regimes.

Early Cinema in Scotland

2018 ◽  
Keyword(s):  
Social History ◽  
Small Towns ◽  
Early Cinema ◽  
Popular Song ◽  
Feature Film ◽  
Local Newspapers ◽  
The Social ◽  
Production History ◽  
History Of ◽  
International Audience

This collection of essays, drawn from a three-year AHRC research project, provides a detailed context for the history of early cinema in Scotland from its inception in 1896 till the arrival of sound in the early 1930s. It details the movement from travelling fairground shows to the establishment of permanent cinemas, and from variety and live entertainment to the dominance of the feature film. It addresses the promotion of cinema as a socially ‘useful’ entertainment, and, distinctively, it considers the early development of cinema in small towns as well as in larger cities. Using local newspapers and other archive sources, it details the evolution and the diversity of the social experience of cinema, both for picture goers and for cinema staff. In production, it examines the early attempts to establish a feature film production sector, with a detailed production history of Rob Roy (United Films, 1911), and it records the importance, both for exhibition and for social history, of ‘local topicals’. It considers the popularity of Scotland as an imaginary location for European and American films, drawing their popularity from the international audience for writers such as Walter Scott and J.M. Barrie and the ubiquity of Scottish popular song. The book concludes with a consideration of the arrival of sound in Scittish cinemas. As an afterpiece, it offers an annotated filmography of Scottish-themed feature films from 1896 to 1927, drawing evidence from synopses and reviews in contemporary trade journals.

Spiritual and Ecclesiastical Biographies: Research, Results, and Reading, ed. Anders Jarlert. Konferenser, 94. Stockholm: Kungl. Vitterhets Historie och Antikvitets Akademien, 2017, 245 pp.

Mediaevistik ◽  
2018 ◽  
Vol 31 (1) ◽  
pp. 327-327
Author(s):  
Albrecht Classen
Keyword(s):  
South Africa ◽  
Middle Ages ◽  
Life Writing ◽  
Emeritus Professor ◽  
Royal Swedish Academy ◽  
Research Results ◽  
International Audience ◽  
Binghamton University ◽  
Sciences Sociales ◽  
The Middle Ages

The papers combined in this volume were originally presented at a conference at the Royal Swedish Academy of Letters, History and Antiquities in Stockholm, June 11–12, 2015. The explicit purpose of this event and the subsequent volume was to expose the work of Swedish and other scholars on the genre of biographies to an international audience, reflecting on life-writing or ego-documents, emphasizing spiritual autobiographies. According to the brief bios at the end of the book, Robert Swanson, for instance, is Emeritus Professor at Binghamton University; Jean-Mark Ticchi teaches at the Centre d’Etudes en Sciences Sociales du Religieux in Paris; and Enock Bongani Zulu was lecturer at the Lutheran Theological Institute in Pietermaritzburg, South Africa. The book cover is decorated with an image showing a page in Margery Kempe’s Book from ca. 1440, indicating that the focus might rest on the Middle Ages. This is only very partially the case.

Food museums as cultural institutions and tourist attractions: Evidence from Italy

2020 ◽  
Author(s):  
Roberta Garibaldi ◽  
Andrea Pozzi
Keyword(s):  
Private Companies ◽  
Tourist Attractions ◽  
Local Stakeholders ◽  
Cooking Shows ◽  
International Audience ◽  
External Relationships ◽  
Museum Experience ◽  
Public Museums ◽  
Modes Of Engagement ◽  
Heritage Interpretation

In recent years, food museums have turned into popular attractions for tourists. Scholars and practitioners have emphasized their role as agents of preservation, education and cultural heritage interpretation, but devoted little attention to tourism related issues. To fill the gap, this paper investigates Italian food museums in order to assess their characteristics, tasks, audience and modes of engagement. Findings suggest that community engagement is an important task along with safeguarding and promoting food heritage. Creating or improving external relationships is crucial for public museums to get recognized for their role and value. For museums operated by private companies, engaging with local stakeholders and residents serves not just a branding purpose, but also in awakening their interest in past and present issues concerning the product (nutrition, safety, taste, cultural and social values). The majority of Italian food museums mainly appeal to domestic travelers, which indicates the potential to reach a larger, international audience. Visibility and language issues remain crucial to reach international tourists but reframing the museum experience is also essential to meet new visitors’ needs. Exploiting traditional exhibitions of food-related objects with multimedia technology and practical activities such as classes, workshops, cooking shows can help in engaging the audiences.

Introduction

2017 ◽  
Author(s):  
Stefan Homburg
Keyword(s):  
Great Recession ◽  
Rational Expectations ◽  
Borrowing Constraints ◽  
Distinctive Features ◽  
Net Worth ◽  
The Great Recession ◽  
External Finance ◽  
International Audience ◽  
Aims And Scope

Chapter 1 describes the book’s aims and scope. The main objective is to improve understanding of the Great Recession and its aftermath. The book provides a unified theoretical framework that uses dynamic general equilibrium models, or DGE, but dispenses with the rational expectations assumption. Its distinctive features are clean models with a rich institutional structure encompassing credit money, external finance, borrowing constraints, net worth, real estate, and commercial banks. Written for economists in universities, governments, and financial institutions, the book addresses an international audience.

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