Covariant representations of algebraic group actions and applications
Yvann Gaudillot-Estrada
If $G$ is an algebraic affine group acting on an affine variety $X$, there is a natural notion of covariant representation for the pair $(G,X)$. In this paper, we classify the irreducible covariant representations for any such pair by adapting the Mackey machine to this algebraic setting. Next, we give applications for continuous representations of motion groups on Banach spaces and other related examples.
Unipotent representations: changing q to -q
P. Deligne, G. Lusztig
Consider a Chevalley group over a finite field $F_q$ such that the longest element of the Weyl group is central. We construct an involution $ξ\mapstoξ^!$ of the set of unipotent representations of this group such that the degree polynomial of a unipotent representation $ξ$ is obtained up to sign from the degree polynomial of $ξ^!$ by changing $q$ to $-q$.
Categorification of based modules over the complex representation ring of $S_4$
Wenxia Wu, Yunnan Li
The complex representation rings of finite groups are the fundamental class of fusion rings, categorified by the corresponding fusion categories of complex representations. The category of $\mathbb{Z}_+$-modules of finite rank over such a representation ring is also semisimple. In this paper, we classify the irreducible based modules of rank up to 5 over the complex representation ring $r(S_4)$ of the symmetric group $S_4$. Totally 16 inequivalent irreducible based modules are obtained. Based on such a classification result, we further discuss the categorification of based modules over $r(S_4)$ by module categories over the complex representation category ${\rm Rep}(S_4)$ of $S_4$ arisen from projective representations of certain subgroups of $S_4$.
Maski Molierowskiego Don Juana
Katarzyna Wojtysiak-Wawrzyniak
This article considers selected literary, ideological, and social contexts of the origins of Molière’s Don Juan (1665) in order to demonstrate links between particular cultural phenomena of the mid-seventeenth century and the construction of the play’s protagonist and some thematic motifs. The author reviews various hypotheses concerning the literary and cultural roots of Molière’s version of the story of Don Juan, to focus on the evocation of Spanish cultural contexts. She also emphasizes that the author managed to incorporate into the story of the legendary seducer ample commentary pertaining to factual reality. Ideas rooted in aesthetic explorations and current ideological discussions and disputes contributed to the creation of a protagonist whose experience also corresponds in many aspects to that of the present-day reader and theatergoer.
Dramatic representation. The theater, The performing arts. Show business
Revisiting the Steinberg representation at arbitrary roots of 1
Cris Negron
We consider quantum group representations for a semisimple algebraic group G at a complex root of unity q. Here q is allowed to be of any order. We revisit some fundamental results of Parshall-Wang and Andersen-Polo-Wen from the 90's. In particular, we show that the category Rep(G_q) of quantum group representations has enough projectives and injectives, and that a G_q-representation is projective (resp. injective) if and only if its restriction to the small quantum group is projective (resp. injective). Our results reduce to an analysis of the Steinberg representation in the simply-connected setting, and are well-known at odd order q via works of the aforementioned authors. The details at arbitrary q have, to our knowledge, not appeared in the literature up to this point.
Models of representations for classical series of Lie algebras
D. V. Artamonov
A model of representations of a Lie algebra is a representation which a direct sum of all irreducible finite dimensional representations taken with multiplicity $1$. In the paper an explicit construction of a model of representation for all series of classical Lie algebras is given. The construction does not differ much for different series. The space of the model is constructed as a space of polynomial solutions of a system of partial differential equations. The equations in this system are constructed form relations between minors of matrices from the corresponding Lie group. This system has a simplification which is very close to the GKZ system, that is satisfied by $A$-hypergeometric functions.
Iben Nagel Rasmussen: a transparência na maturidade
Priscilla de Queiroz Duarte
Propomos a qualidade da transparência como modo de leitura da herança artística que emerge do percurso da atriz Iben Nagel Rasmussen, de setenta e dois anos de idade. A noção de tempo como demora é sugerida por Han pela analogia ao aroma desprendido por um relógio de incenso chinês. Com inspiração em Stanislavski, estabelecemos a maturidade artística como paradigma para indagar o sentido das experiências acumuladas pela atriz. À luz de alguns princípios do ator Nô dos tratados de Zeami, analisamos a construção da autonomia da atriz com relação ao Odin Teatret, a criação de espetáculos de inspiração biográfica, além de seus projetos pedagógicos, em uma perspectiva de transmissão de saberes.
Drama, Dramatic representation. The theater
Iben Nagel Rasmussen: transparency in the maturity
Priscila de Queiroz Duarte
Transparency is proposed as a quality that emerges from the career of the actress Iben Nagel Rasmussen, a representative of a laboratory dimension, of work on oneself in the European theater. An analogy is suggested between Han’s aromatic time and the quality of transparency. The artistic maturity of Stanislavski is a starting point to inquire about the meaning of the mature actor’s experiences, in light of the principles of the nô actor by Zeami. The quality of transparency in Rasmussen’s autonomy in relation to the Odin Teatret, in the creation of biographical performances, as well as pedagogical projects, and as a value to be cultivated in the contemporary scene is highlighted.
Drama, Dramatic representation. The theater
An analogue of ladder representations for classical groups
Hiraku Atobe
In this paper, we introduce a notion of ladder representations for split odd special orthogonal groups and symplectic groups over a non-archimedean local field of characteristic zero. This is a natural class in the admissible dual which contains both strongly positive discrete series representations and irreducible representations with irreducible A-parameters. We compute Jacquet modules and the Aubert duals of ladder representations, and we establish a formula to describing ladder representations in terms of linear combinations of standard modules.
Playful Learning in Actor Training: The Impact of COVID-19 on Spontaneity and Intuition
Anna McNamara
The ability to readily access creative imagination is an essential tool for the actor. Games and playful approaches to learning are vital to enable the actors’ learning space in both traditional and non-traditional settings. Since 2020, the impact of COVID-19 has necessitated remote learning to facilitate drama and actor training, and this has been a beneficial tool in ensuring the continuation of study and engagement. Whilst this utilisation of technology has undoubtedly brought much innovation, this study will consider what has been compromised or even lost in this transfer of activities in actor and drama training. Perspectives are drawn from a practitioner working in a U.K.-based professional training conservatoire at Higher Education level and examines the compensatory allowances that may need to be made in the creative training process moving beyond the global pandemic.
Dramatic representation. The theater
Anthropology of Performance or Anthropology of Contemporary Theatre?: ethnographic remarks on companhia brasileira de teatro and PROJETO bRASIL
Cauê Kruger
Based on anthropological and ethnographical fieldwork research with companhia brasileira de teatro this article points to some limits of a universalist and orthodox anthropology of performance. It sustains, alternatively, one anthropology of contemporary theatre, dealing with concepts such as drama, performance and dramaturgy as research realms, able to express desires, expectancies, and meanings disputes enrolled in the artistic process. This study reveals how performative theatre, metadiscursive and de-dramatizing strategies lead to polysemic and reflexive scenes that provide critical discourses, viewpoints shifts and encourage sensibility for alterity.
Drama, Dramatic representation. The theater
Memórias de um escravo esteta
Luís Filipe Soares
Crítica as espectáculo Uma Solidão Demasiado Ruidosa. Texto: a partir do romance de Bohumil Hrabal. Interpretação: António Simão. Cenografia e figurinos: Rita Lopes Alves. Desenho de luz: Pedro Domingos. Local: Incrível Almadense, Almada, 10, 11 e 12 de Julho de 2020.
Dramatic representation. The theater
Temporalne aspekty gier cyfrowych
Rafał Kochanowicz
Temporal issues related to digital games go beyond the strictly literary or film studies character of the description and implies technological and marketing issues. It can be outlined by referring to the concept of Andrzej Stoff, who analyzed the spatial dimension of the world of the novel (“delineating space”, “creating”, “functionalizing”, “valorising”). Relating these four detailed issues – constituting the basic subject of description, analysis and interpretation – to temporal aspects, it is appropriate to talk about measuring (conventionalizing, relativizing) time, thematizing, functionalizing and valorizing it. Taking into account the above categories, the most typical concretizations of temporal phenomena can be further defined: functional (classic chronometry, clock, server time, time of a running process), gameplay (real time, relativization, quest time, respawn time), thematic concretizations (e.g. retrospection as a compositional dominant of multimodal narratives) and marketing concretizations (commercialization of time).
Photography, Dramatic representation. The theater
LABAN / BARTENIEFF SYSTEM AND MOTOR COORDINATION IN CLASSICAL BALLET CLASSES IN THE FORMATION OF DANCE ARTIST-TEACHER
Neila Cristina Baldi
This text discusses a methodological proposal to learnteach classical ballet using the somatic approaches Motor Coordination and the Laban/Bartenieff System. The proposition presented here was developed with undergraduate students in Dance and was part of a doctoral research advocated in 2017. In this way, the text proposes to think how the somatic approaches and principles are present in the formation of the teacherartist of dance.
Keywords
Somatic Approaches. Ballet. Motor Coordination. Laban/Bartenieff System. Teacherartist.
The performing arts. Show business, Drama
Masthead
Fernanda Caroline de Oliveira
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Drama, Dramatic representation. The theater
The Scenic Performance as Subversive Negativity: radical alterity and trava sudaca performance in the voice of Susy Shock
Ariel Martínez, Ana Sabrina Mora
Considering the scenic performances of the artist Susy Shock, and in particular the stage presentation she makes of a so called monstrosity that maintains a series of elements that make up a scenic performance where the monstrosity can break into the field of intersection and conjugation, we offer some epistemological thoughts about the limits of identity representations versus stage presentations. Her poetic performances include songs of musical genres of Argentine folklore (vidalas, coplas, tangos), through the appropriation of a traditional cultural product in the voice of a transgender person. This produces the visibility of a radical alterity in the simultaneous presentation of elements that can only be recovered from the intersectionality that is released in the ground of presentation, where all the elements break into overlap at the same time and in the same place.
Drama, Dramatic representation. The theater
Time, Chance and Space: Stan Lai’s Newest Work, Ago
Yu Kuo-Hua
Dramatic representation. The theater
Products of stabilizing representations
Artur Rapp
We study representation stability in the sense of Church and Farb. We show that products of stabilizing Sn -representations fulfill certain recursive relations which can be described by a new class of difference operators.
Dilations of partial representations of Hopf algebras
Marcelo Muniz S. Alves, Eliezer Batista, Joost Vercruysse
We introduce the notion of a dilation for a partial representation (i.e. a partial module) of a Hopf algebra, which in case the partial representation origins from a partial action (i.e.a partial module algebra) coincides with the enveloping action (or globalization). This construction leads to categorical equivalences between the category of partial $H$-modules, a category of (global) $H$-modules endowed with a projection satisfying a suitable commutation relation and the category of modules over a (global) smash product constructed upon $H$, from which we deduce the structure of a Hopfish algebra on this smash product. These equivalences are used to study the interactions between partial and global representation theory.
Representations induced from a normal subgroup of prime index
Soham Swadhin Pradhan
Let $G$ be a finite group, $H$ be a normal subgroup of prime index $p$. Let $F$ be a field of either characteristic $0$ or prime to $|G|$. Let $η$ be an irreducible $F$-representation of $H$. If $F$ is an algebraically closed field of characteristic either $0$ or prime to $|G|$, then the induced representation $η\uparrow^{G}_{H}$ is either irreducible or a direct sum of $p$ pairwise inequivalent irreducible representations. In this paper, we show that if $F$ is not assumed algebraically closed field, then there are five possibilities in the decomposition of induced representation into irreducible representations.