From the Drinfeld realization to the Drinfeld-Jimbo presentation of affine quantum algebras: the injectivity

In this paper the surjective homomorphism from the Drinfeld realization to the Drinfeld and Jimbo presentation of affine quantum algebras is proved to be injective. A consequence of the arguments used in the paper is the triangular decomposition of the Drinfeld realization of affine quantum algebras also in the twisted case. A presentation of the affine Kac-Moody algebras in terms of the "Drinfeld generators" is also provided

Unusual conversations: A reflection on the mechanics of internationally engaged public scholarship

This article analyses the civic engagement pathways of researchers from the Asia-Pacific and the United States in an effort to see how the principles of what American  scholars consider publicly engaged research and creative practice are being enacted in research sites across the globe. The purpose of this ongoing project is to focus on finding ways of connecting American scholars with a network of higher education and research institutions that hold a commitment and passion for social responsibility and civic engagement as it impacts education, research and service for community development overseas. The narrative includes the voices and perspectives of colleagues dedicated to engaged scholarship from across the new region in which I work (the Asia-Pacific), alongside the voices of some of Imagining America’s (IA) 2014 National Conference participants. These conversations serve as a critical reflection on the mechanics of doing public scholarship overseas and frame a new model of internationally engaged scholarship.Keywords: Internationally engaged public scholarship, unusual conversation

Labour regulation, corporate governance and varieties of capitalism

The literature aimed at exploring labor regulation and cross-country comparisons has left partly unexplored two major points: the first is the influence of employees within managerial processes, through the channel of employee representation at firm level. The second point concerns potential complementarities or substitutions between patterns of ownership or shareholder protection and labour regulation. The paper offers a critical overview of some selected studies that have started at filling these gaps by considering labour institutions for their influence on the ‘balance’ of power inside the firm, between owners, management, and employees. Firstly, it examines the literature which gives a central importance to the effects of legal origins on labour regulation and labour market outcomes. Secondly, it reviews the studies which focus on informal rules and de-facto practices and favour a stakeholder approach. A particular concern is paid to the overall consequences of the different institutional setups in the perspective of the “varieties of capitalism”, in which systems of labour regulation exert their function by strategical interactions with other institutions. Finally, it presents recent theoretical and empirical studies centring on employee investments in firm-specific human capital and on institutional devices which have the effect of tying the fortunes of the employee together with those of the firm. In the varieties of capitalism characterised by general skills and patterns of radical innovation, it is emphasized the internal governance exerted by ‘critical employees’. In economies with firm and industry specific skills, cooperation of employees with management in more shareholder value oriented firm (‘negotiated shareholder system’) are the more successful roads.Stakeholders, Corporate Governance, Varieties of Capitalism.

Alexander invariants of ribbon tangles and planar algebras

Ribbon tangles are proper embeddings of tori and cylinders in the $4$-ball~$B^4$, "bounding" $3$-manifolds with only ribbon disks as singularities. We construct an Alexander invariant $\mathsf{A}$ of ribbon tangles equipped with a representation of the fundamental group of their exterior in a free abelian group $G$. This invariant induces a functor in a certain category $\mathsf{R}ib_G$ of tangles, which restricts to the exterior powers of Burau-Gassner representation for ribbon braids, that are analogous to usual braids in this context. We define a circuit algebra $\mathsf{C}ob_G$ over the operad of smooth cobordisms, inspired by diagrammatic planar algebras introduced by Jones, and prove that the invariant $\mathsf{A}$ commutes with the compositions in this algebra. On the other hand, ribbon tangles admit diagrammatic representations, throught welded diagrams. We give a simple combinatorial description of $\mathsf{A}$ and of the algebra $\mathsf{C}ob_G$, and observe that our construction is a topological incarnation of the Alexander invariant of Archibald. When restricted to diagrams without virtual crossings, $\mathsf{A}$ provides a purely local description of the usual Alexander poynomial of links, and extends the construction by Bigelow, Cattabriga and the second author