New digital technologies are changing the way organizations are designed and work is done. Companies that have seized this opportunity are finding that they can speed up innovation, enhance collaboration across boundaries, and enable greater commitment and creativity. This totally new approach for digitally-enabled collaboration doesn’t stop at the edge of an organization’s boundary but extends beyond it in space and time. We refer to these new ways of organizing as “braids” - an intertwined network of contributors with different capabilities, not controlled or managed by a formal hierarchy, who work together to invent ways to accomplish a common purpose in line with organization’s mission and strategy. Braids allow significant advantages over traditional, hierarchical, mechanistic and bounded ways of organizing. These include access to knowledge and capabilities that are key to achieving breakthrough levels of performance; improved coordination among individuals and groups performing interdependent tasks; increased organizational agility; enhanced knowledge-processing as experts contribute more directly to the most important technical and strategic decisions; and greater motivation, as people team together to leverage their capabilities to innovate and accelerate performance. Learning from the trailblazing experimentation of companies like Airbus, Procter & Gamble, Red Hat, and Dassault Systèmes, this book outlines how to approach designing braided organizations for a variety of purposes, such as enhancing open innovation or enabling greater supply chain adaptability in order to respond to changing customer demands. In the past, human limitations have restricted the ways we organize companies for growth. Today, there’s no excuse for allowing the organizational chart as it’s currently drawn to constrain possibilities for improved performance and innovation.

The United States today supports the strongest, most varied nonprofit sector in the world, an economic force of about $2 trillion, responsible for 5.4% of the nation’s Gross Domestic Product in 2014, and accounting that year for 10.3% of the country's private-sector workforce. Roughly three-quarters of all households in America give to charity, with the average total donation being $2,030 annually. Yet for all this, few Americans, and more specifically, a surprisingly small proportion of the sector’s practitioners, know where the nonprofit sector came from, or how it developed and came to be what we know it as today. This work is a historical overview of that sector, presented less as a chronology than as a discussion of the major influences—some legal, some social, some political—that helped shape the arena. The core message of the book is that the developmental trajectory of nonprofits has not been a straight line. Rather, its path over the years might be compared to that of a pinball, moving straight and building up momentum for a time, but then ricocheting off some event or social trend and taking off in a new direction altogether. Equally important, however, the sector is also the product of a founding genome that came out of colonial, Puritan-inspired New England and spread as that culture and its values became one of the dominant forces in American society. Knowing this history is a prerequisite for understanding and appreciating the character of this deeply influential part of American social culture.

This book contains compilation of emerging discourses on responsible leadership for sustainability in uncertain times. Uncertainty is looming large at global level due to COVID, climatic disruptions and persisting social discriminations, especially since the pandemic, which have disrupted economies at both local and global levels. Technology was a boon to mitigate hardships emerging from such disruptions. The book documents the leadership roles, welfare issues, best practices and innovations that help organizations to sustain in a VUCA world. Economic, social and environmental concerns and their mitigation as documented in this book will be relevant for future planning and execution for sustainable existence. A blend of research by practitioners and academicians, capturing organizational experiences through case studies makes it attractive for a wide range of readership. Business leaders will find this book extremely helpful to understand the nuances and insights for responsible leadership and innovative strategies for stakeholder management and engagement for sustained businesses. Practitioners would get insights into responsible leadership for improving existing sustainable practices and speed up the transition which is necessitated due to disruptions. Prospective entrepreneurs may find that book helpful for creating responsible organizations which are sustainable due to responsible management of resources, employees and environment. Students and researchers can learn from the cases and documentation on responsible leadership, social and environmental concerns and sustainability in this book.

The lectures in this volume discuss topics in statistical mechanics, the geometric and algebraic approaches to q-deformation theories, two-dimensional gravity and related problems of mathematical physics, including Vassiliev invariants and the Jones polynomials, the R-matrix with Z-symmetry, reflection equations and quantum algebra, W-geometry, braid linear algebra, holomorphic q-difference systems and q-Poincaré algebra.

Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.

This book aims to present several new developments on stochastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Audience: This volume contains introductory material for graduate students who are new to the field, as well as more advanced material for specialists in probability theory, algebraic structures, representation theory, mathematical physics and theoretical physics.

This book start with an introduction to quantum groups for the beginner and continues as a textbook for graduate students in physics and in mathematics. It can also be used as a reference by more advanced readers. The authors cover a large but well-chosen variety of subjects from the theory of quantum groups (quantized universal enveloping algebras, quantized algebras of functions) and q-deformed algebras (q-oscillator algebras), their representations and corepresentations, and noncommutative differential calculus. The book is written with potential applications in physics and mathematics in mind. The basic quantum groups and quantum algebras and their representations are given in detail and accompanied by explicit formulas. A number of topics and results from the more advanced general theory are developed and discussed.

The theory of Quantum Groups is a rapidly developing area with numerous applications in mathematics and theoretical physics, e.g. in link and knot invariants in topology, q-special functions, conformal field theory, quantum integrable models. The aim of the Euler Institute's workshops was to review and compile the progress achieved in the different subfields. Near 100 participants came from 14 countries. More than 20 contributions written up for this book contain new, unpublished material and half of them include a survey of recent results in the field (deformation theory, graded differential algebras, contraction technique, knot invariants, q-special functions). FROM THE CONTENTS: V.G. Drinfeld: On Some Unsolved Problems in Quantum Group Theory.- M. Gerstenhaber, A. Giaquinto, S.D. Schack: Quantum Symmetry.- L.I. Korogodsky,L.L. Vaksman: Quantum G-Spaces and Heisenberg Algebra.-J. Stasheff: Differential Graded Lie Algebras, Quasi-Hopf Algebras and Higher Homotopy Algebras.- A.Yu. Alekseev, L.D. Faddeev, M.A. Semenov-Tian-Shansky: Hidden Quantum Groups inside Kac-Moody Algebras.- J.-L. Gervais: Quantum Group Symmetry of 2D Gravity.- T. Kohno: Invariants of 3-Manifolds Based on Conformal Field Theory and Heegaard Splitting.- O. Viro: Moves of Triangulations of a PL-Manifold.

This book is a printed edition of the Special Issue "Hopf Algebras, Quantum Groups and Yang-Baxter Equations" that was published in Axioms

In the past decade there has been an extemely rapid growth in the interest and development of quantum group theory.This book provides students and researchers with a practical introduction to the principal ideas of quantum groups theory and its applications to quantum mechanical and modern field theory problems. It begins with a review of, and introduction to, the mathematical aspects of quantum deformation of classical groups, Lie algebras and related objects (algebras of functions on spaces, differential and integral calculi). In the subsequent chapters the richness of mathematical structure and power of the quantum deformation methods and non-commutative geometry is illustrated on the different examples starting from the simplest quantum mechanical system — harmonic oscillator and ending with actual problems of modern field theory, such as the attempts to construct lattice-like regularization consistent with space-time Poincaré symmetry and to incorporate Higgs fields in the general geometrical frame of gauge theories. Graduate students and researchers studying the problems of quantum field theory, particle physics and mathematical aspects of quantum symmetries will find the book of interest.