How can organizations complete a major business model transformation and how can leaders successfully guide their business through this radical shift? As markets are constantly transformed by new technologies and disruptor competitors, once successful business models designed to function in a different time now struggle as the mainstream changes. This book is the guide for organizations looking to turn downward trends into upward momentum and gain an edge on the competition.Now in its second edition, this book offers practical advice on how to understand the fit of an existing business model and reconstruct it with a forward-thinking approach. New illustrative case studies of global organizations which have boldly transformed offer examples for change, including SAP, Netflix and Daimler. Business transformation is presented as a leadership challenge and methods to realize and implement opportunities for innovation company-wide are discussed in detail. Radical Business Model Transformation is essential reading for business leaders, transformation experts and MBA students interested in ensuring that their business model is future-proof and can withstand the new proliferation of innovations set to transform the business landscape.

This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups. Character theory is developed in a highly pedagogical way including many examples and exercises covering at once the fi rst defi nitions up to Clifford theory, Brauer’s induction theorem and the splitting fi eld theorem, as well as self-dual simple modules allowing bilinear forms. This latter part is done step by step using the approach given by Sin and Willems. Dirichlet characters and Dirichlet’s result on primes in arithmetic progressions are given as an application. Examples of integral representations of fi nite groups are already detailed at a quite early stage where appropriate, so that the more systematic treatment of lattices over orders is natural. After that, the necessary number theory and homological algebra is developed as far as needed. Maximal as well as hereditary orders are introduced and the Auslander- Buchsbaum theorem is proved. The Jordan-Zassenhaus theorem on the fi niteness of lattices in a given vector space is fully proved. Then the development and properties of class groups of orders is a fi rst focus. As a further highlight Swan’s example of a stably free but not free ideal over the integral group ring of the generalised quaternion group of order 32 is developed in great detail.

This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups. Character theory is developed in a highly pedagogical way including many examples and exercises covering at once the fi rst defi nitions up to Clifford theory, Brauer’s induction theorem and the splitting fi eld theorem, as well as self-dual simple modules allowing bilinear forms. This latter part is done step by step using the approach given by Sin and Willems. Dirichlet characters and Dirichlet’s result on primes in arithmetic progressions are given as an application. Examples of integral representations of fi nite groups are already detailed at a quite early stage where appropriate, so that the more systematic treatment of lattices over orders is natural. After that, the necessary number theory and homological algebra is developed as far as needed. Maximal as well as hereditary orders are introduced and the Auslander- Buchsbaum theorem is proved. The Jordan-Zassenhaus theorem on the fi niteness of lattices in a given vector space is fully proved. Then the development and properties of class groups of orders is a fi rst focus. As a further highlight Swan’s example of a stably free but not free ideal over the integral group ring of the generalised quaternion group of order 32 is developed in great detail.

Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field.

Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between them. Group theoretical applications of these theories are given – such as the structure of blocks of cyclic defect groups – whenever appropriate. Overall, many methods from the representation theory of algebras are introduced.

Representation Theory assumes only the most basic knowledge of linear algebra, groups, rings and fields and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessible to any graduate student in algebra and can be used for self-study as well as for classroom use.

Die Bedeutung der strategischen Planung nimmt in dem Maße zu, wie Unternehmen sich durch Fusionen, Zu- und Verkäufe verändern und das Geschäft komplexer wird. Großunternehmen und Konzerne, zunehmend aber auch Mittelständler, haben heute zwischen 30 und 150 selbstständige, eigenverantwortliche Geschäftseinheiten (in zahlreichen Regionen und Ländern), wobei nicht selten so heterogene Sparten wie Kernkraft und Mobilfunk unter dem Dach eines einzigen Konzerns versammelt sind. Üblicherweise entwickeln alle Geschäftseinheiten jeweils einmal jährlich ihre eigene Strategie. Zur Lösung dieser Problematik wurde eine Strategieplattform zur Erleichterung der Erarbeitung einer Gesamtstrategie entwickelt, die von namhaften Unternehmen wie REWE, DB, Siemens u.a. seit mehreren Jahren eingesetzt wird. Dieses Buch stellt das strategische Informationssystem praxisnah in mehreren Best-Practice-Beispielen des Einsatzes bei namhaften Firmen, anwenderorientiert und unter Einbeziehung der genannten Problemhintergründe vor.

How can organizations complete a major business model transformation and how can leaders successfully guide their business through this radical shift? As markets are constantly transformed by new technologies and disruptor competitors, once successful business models designed to function in a different time now struggle as the mainstream changes. This book is the guide for organizations looking to turn downward trends into upward momentum and gain an edge on the competition.Now in its second edition, this book offers practical advice on how to understand the fit of an existing business model and reconstruct it with a forward-thinking approach. New illustrative case studies of global organizations which have boldly transformed offer examples for change, including SAP, Netflix and Daimler. Business transformation is presented as a leadership challenge and methods to realize and implement opportunities for innovation company-wide are discussed in detail. Radical Business Model Transformation is essential reading for business leaders, transformation experts and MBA students interested in ensuring that their business model is future-proof and can withstand the new proliferation of innovations set to transform the business landscape.

This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups. Character theory is developed in a highly pedagogical way including many examples and exercises covering at once the fi rst defi nitions up to Clifford theory, Brauer’s induction theorem and the splitting fi eld theorem, as well as self-dual simple modules allowing bilinear forms. This latter part is done step by step using the approach given by Sin and Willems. Dirichlet characters and Dirichlet’s result on primes in arithmetic progressions are given as an application. Examples of integral representations of fi nite groups are already detailed at a quite early stage where appropriate, so that the more systematic treatment of lattices over orders is natural. After that, the necessary number theory and homological algebra is developed as far as needed. Maximal as well as hereditary orders are introduced and the Auslander- Buchsbaum theorem is proved. The Jordan-Zassenhaus theorem on the fi niteness of lattices in a given vector space is fully proved. Then the development and properties of class groups of orders is a fi rst focus. As a further highlight Swan’s example of a stably free but not free ideal over the integral group ring of the generalised quaternion group of order 32 is developed in great detail.

This is the fi rst textbook leading coherently from classical character theory to the theory of lattices over orders and integral representations of fi nite groups. Character theory is developed in a highly pedagogical way including many examples and exercises covering at once the fi rst defi nitions up to Clifford theory, Brauer’s induction theorem and the splitting fi eld theorem, as well as self-dual simple modules allowing bilinear forms. This latter part is done step by step using the approach given by Sin and Willems. Dirichlet characters and Dirichlet’s result on primes in arithmetic progressions are given as an application. Examples of integral representations of fi nite groups are already detailed at a quite early stage where appropriate, so that the more systematic treatment of lattices over orders is natural. After that, the necessary number theory and homological algebra is developed as far as needed. Maximal as well as hereditary orders are introduced and the Auslander- Buchsbaum theorem is proved. The Jordan-Zassenhaus theorem on the fi niteness of lattices in a given vector space is fully proved. Then the development and properties of class groups of orders is a fi rst focus. As a further highlight Swan’s example of a stably free but not free ideal over the integral group ring of the generalised quaternion group of order 32 is developed in great detail.

Introducing the representation theory of groups and finite dimensional algebras, first studying basic non-commutative ring theory, this book covers the necessary background on elementary homological algebra and representations of groups up to block theory. It further discusses vertices, defect groups, Green and Brauer correspondences and Clifford theory. Whenever possible the statements are presented in a general setting for more general algebras, such as symmetric finite dimensional algebras over a field.

Then, abelian and derived categories are introduced in detail and are used to explain stable module categories, as well as derived categories and their main invariants and links between them. Group theoretical applications of these theories are given – such as the structure of blocks of cyclic defect groups – whenever appropriate. Overall, many methods from the representation theory of algebras are introduced.

Representation Theory assumes only the most basic knowledge of linear algebra, groups, rings and fields and guides the reader in the use of categorical equivalences in the representation theory of groups and algebras. As the book is based on lectures, it will be accessible to any graduate student in algebra and can be used for self-study as well as for classroom use.

Die Bedeutung der strategischen Planung nimmt in dem Maße zu, wie Unternehmen sich durch Fusionen, Zu- und Verkäufe verändern und das Geschäft komplexer wird. Großunternehmen und Konzerne, zunehmend aber auch Mittelständler, haben heute zwischen 30 und 150 selbstständige, eigenverantwortliche Geschäftseinheiten (in zahlreichen Regionen und Ländern), wobei nicht selten so heterogene Sparten wie Kernkraft und Mobilfunk unter dem Dach eines einzigen Konzerns versammelt sind. Üblicherweise entwickeln alle Geschäftseinheiten jeweils einmal jährlich ihre eigene Strategie. Zur Lösung dieser Problematik wurde eine Strategieplattform zur Erleichterung der Erarbeitung einer Gesamtstrategie entwickelt, die von namhaften Unternehmen wie REWE, DB, Siemens u.a. seit mehreren Jahren eingesetzt wird. Dieses Buch stellt das strategische Informationssystem praxisnah in mehreren Best-Practice-Beispielen des Einsatzes bei namhaften Firmen, anwenderorientiert und unter Einbeziehung der genannten Problemhintergründe vor.