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Symbolic Extensions of Amenable Group Actions and the Comparison Property
In topological dynamics, the
Of course, the statement is preceded by the
presentation of the concepts of an entropy structure and its superenvelopes, adapted from the case of
eBook
Values, identity, and equality in eighteenth- and nineteenth-century Japan
\"The chapters in this volume variously challenge a number of long-standing assumptions regarding eighteenth- and nineteenth-century Japanese society, and especially that society's values, structure and hierarchy; the practical limits of state authority; and the emergence of individual and collective identity. By interrogating the concept of equality on both sides of the 1868 divide, the volume extends this discussion beyond the late-Tokugawa period into the early-Meiji and even into the present. An Epilogue examines some of the historiographical issues that form a background to this enquiry. Taken together, the chapters offer answers and perspectives that are highly original and should prove stimulating to all those interested in early modern Japanese cultural, intellectual, and social history Contributors include: Daniel Botsman, W. Puck Brecher, Gideon Fujiwara, Eiko Ikegami, Jun'ichi Isomae, James E. Ketelaar, Yasunori Kojima, Peter Nosco, Naoki Sakai, Gregory Smits, M. William Steele, and Anne Walthall\"--Provided by publisher.
Book
Filtrations and Buildings
We construct and study a scheme theoretical version of the Tits vectorial building, relate it to filtrations on fiber functors, and
use them to clarify various constructions pertaining to affine Bruhat-Tits buildings, for which we also provide a Tannakian
description.
eBook
Automorphisms of Fusion Systems of Finite Simple Groups of Lie Type
For a finite group G of Lie type and a prime p, the authors compare the automorphism groups of the fusion and linking systems of G at p with the automorphism group of G itself. When p is the defining characteristic of G, they are all isomorphic, with a very short list of exceptions. When p is different from the defining characteristic, the situation is much more complex but can always be reduced to a case where the natural map from \\mathrm{Out}(G) to outer automorphisms of the fusion or linking system is split surjective. This work is motivated in part by questions involving extending the local structure of a group by a group of automorphisms, and in part by wanting to describe self homotopy equivalences of BG^\\wedge _p in terms of \\mathrm{Out}(G).
eBook
Automorphisms of Albert algebras and a conjecture of Tits and Weiss
Let kk be a field of characteristic different from 2 and 3. The main aim of this paper is to prove the Tits-Weiss conjecture for Albert division algebras over kk which are pure first Tits constructions. The conjecture asserts that, for an Albert division algebra AA over a field kk, the structure group Str(A)Str(A) is generated by UU-operators and scalar multiplications. The conjecture derives its importance from its connections with algebraic groups and Tits buildings, particularly with Moufang polygons. It is known that kk-forms of E8E_8 with index E8,278E^{78}_{8,2} and anisotropic kernel a strict inner kk-form of E6E_6 correspond bijectively (via Moufang hexagons) to Albert division algebras over kk. The Kneser-Tits problem for a form of E8E_8 as above is equivalent to the Tits-Weiss conjecture (see Section 3). We provide a solution to the Kneser-Tits problem for kk-forms of E8E_8 corresponding to pure first Tits construction Albert division algebras. As an application, we prove that for the kk-group G=Aut(A), G(k)/R=1G=\\textbf {Aut}(A),~G(k)/R=1, where AA is an Albert division algebra over kk as above and RR stands for RR-equivalence in the sense of Manin.
Journal Article
Rethinking Teams
Teams have long been defined by boundedness—a clear distinction between members and nonmembers. Yet as we argue in this perspective paper, the distinction between members and nonmembers is often blurred in today’s teams, as a result of trends toward increasing team fluidity, overlap, and dispersion. These trends offer potential organizational benefits, but the resulting boundary blurring can undermine team effectiveness. Moreover, boundary blurring calls into question many of the basic assumptions underpinning our theoretical and empirical research on teams. Accordingly, it is time to rethink our fundamental conceptualization of teams and to revisit our approaches to studying them. We propose a shift from viewing teams as clearly bounded groups of members toward instead viewing teams as dynamic hubs of participants. Reconceptualizing teams in this way opens up new avenues for theory development and offers important implications for future empirical research on teams.
Journal Article
Dynamical Systems and Group Actions
This volume contains cutting-edge research from leading experts in ergodic theory, dynamical systems and group actions. A large part of the volume addresses various aspects of ergodic theory of general group actions including local entropy theory, universal minimal spaces, minimal models and rank one transformations. Other papers deal with interval exchange transformations, hyperbolic dynamics, transfer operators, amenable actions and group actions on graphs.
eBook