Search results for "identity"
showing 10 items of 1751 documents
Multialternating Jordan polynomials and codimension growth of matrix algebras
2007
Abstract Let R be the Jordan algebra of k × k matrices over a field of characteristic zero. We exhibit a noncommutative Jordan polynomial f multialternating on disjoint sets of variables of order k 2 and we prove that f is not a polynomial identity of R . We then study the growth of the polynomial identities of the Jordan algebra R through an analysis of its sequence of Jordan codimensions. By exploiting the basic properties of the polynomial f , we are able to prove that the exponential rate of growth of the sequence of Jordan codimensions of R in precisely k 2 .
Gradings on the algebra of upper triangular matrices of size three
2013
Abstract Let UT 3 ( F ) be the algebra of 3 × 3 upper triangular matrices over a field F . On UT 3 ( F ) , up to isomorphism, there are at most five non-trivial elementary gradings and we study the graded polynomial identities for such gradings. In case F is of characteristic zero we give a complete description of the space of multilinear graded identities in the language of Young diagrams through the representation theory of a Young subgroup of S n . We finally compute the multiplicities in the graded cocharacter sequence for every elementary G -grading on UT 3 ( F ) .
Standard polynomials and matrices with superinvolutions
2016
Abstract Let M n ( F ) be the algebra of n × n matrices over a field F of characteristic zero. The superinvolutions ⁎ on M n ( F ) were classified by Racine in [12] . They are of two types, the transpose and the orthosymplectic superinvolution. This paper is devoted to the study of ⁎-polynomial identities satisfied by M n ( F ) . The goal is twofold. On one hand, we determine the minimal degree of a standard polynomial vanishing on suitable subsets of symmetric or skew-symmetric matrices for both types of superinvolutions. On the other, in case of M 2 ( F ) , we find generators of the ideal of ⁎-identities and we compute the corresponding sequences of cocharacters and codimensions.
Cultural institutions as agents of urban and community regeneration in the (post-)pandemic city. The case of the «Laboratorio Zen Insieme» in Palermo
2022
Although all cities in the world have been affected by the COVID-19 pandemic, its impacts on the territories, yet to be understood, are unevenly distributed, revealing extremely varied imbalances depending on the places. However, it is clear that the virus and its variants have aggravated pre-existing socio-spatial inequalities, creating new ones and bringing attention back to those implications between space, planning, public health and citizenship that are at the origins of contemporary urbanism. In a reference framework in which the crisis is globalized but unequal and in the absence of a welfare system capable of responding to the urgencies of the most marginalized social contexts and g…
Changing the Corporate Elite? Not so Easy: Female Directorss Appointments Onto Corporate Boards
2013
Scholars have previously investigated country and organizational-level factors associated with the incidence of female directors on boards. These studies, however, cannot explain why, in countries with strong gender equality and pressure for female directorships, firms are still hesitant to promote new women to their boards. To address this issue we – in this study – introduce the cognitive and affective processes related to directors’ identification with the traditional corporate elite as an explanation for the slow organizational response to pressure for gender diversity on boards. We bridge the social identity and critical mass theory to further show how these responses may vary with the…
Communities, Communication, and Online Identities
2012
Social media and online communities offer increased possibilities for connection, interaction and participation but also new media with tools for self-presentation and identity management. Interacting anonymously or eponymously, having one, none or many identities online expresses richness in online communication. Contentious identities for communication are part of everyday online and offline interaction. The authors examine critically five types of online identity and analyse the differences, similarities, advantages, pitfalls, and disadvantages of using them. Examples illustrate the usage of these identity types, clarify possible misconceptions, and provide the reader with an improved un…
Effectuating Person-Organization Fit : Effectuation in Organizations
2015
Industrial policies of innovation concentrate on funding or encouraging promising innovations entailing growth or that have possibilities of internationalization. However, concrete innovation process happens in and between individuals. Effectuation is a logic that is emergent and iterative in nature. It develops through enactment and trial-and-error processes that follow deep expertise, contextual experience and abilities to leverage contingencies. Harnessing individuals to challenge their working environment to function better may improve both work well-being and organization performance. The integration of person-organization fit and effectuation suggest that paying attention to effectuat…
The Dynamics of (De)Stigmatization : Boundary construction in the nascent category of organic farming
2020
This study finds that it is possible for organizations in emerging categories to resist stigmatization through discursive reconstruction of the central and distinctive characteristics of the category in question. We examined the emerging market of organic farming in Finland and discovered how resistance to stigmatization was both an internal and an external power struggle in the organic farming community. Over time, the label of organic farming was manipulated and the practice of farming was associated with more conventional and familiar contexts, while the stigma was diverted at the same time to biodynamic farming. We develop a process model for removal of stigma from a nascent category t…
Innovation, organisation and governance in Spanish universities
2001
The aim of this paper is to examine the effect of changes introduced to improve efficiency and effectiveness on the way Spanish universities function. Information and opinions collected systematically at a representative sample of Spanish universities are used to study if they can be employed to implement improvements in their organisational structure and management. The obstacles imposed by current regulations and the effect of existing incentives for change in universities’ socio-economic environment is also examined.
The skill paradox: explaining and reducing employment discrimination against skilled immigrants
2015
Using a social identity theory approach, we theorized that recruiters might be particularly biased against skilled immigrant applicants. We refer to this phenomenon as a skill paradox, according to which immigrants are more likely to be targets of employment discrimination the more skilled they are. Furthermore, building on the common ingroup identity model, we proposed that this paradox can be resolved through human resource management (HRM) strategies that promote inclusive hiring practices (e.g., by emphasizing fit with a diverse clientele). The results from a laboratory experiment were consistent with our predictions: Local recruiters preferred skilled local applicants over skilled immi…