Peter Schneider – författare
135 kr
Skickas
148 kr
Skickas inom 5-8 vardagar
156 kr
Skickas
105 kr
Läs direkt efter köp
1 006 kr
Skickas inom 10-15 vardagar
948 kr
Skickas inom 10-15 vardagar
262 kr
Skickas inom 3-6 vardagar
1 126 kr
Läs direkt efter köp
1 195 kr
Läs direkt efter köp
Galois Representations and (Phi, Gamma)-Modules
774 kr
Skickas inom 7-10 vardagar
Non-abelian Fundamental Groups and Iwasawa Theory
962 kr
Skickas inom 7-10 vardagar
902 kr
Läs direkt efter köp
871 kr
Läs direkt efter köp
3 047 kr
Skickas inom 10-15 vardagar
1 195 kr
Läs direkt efter köp
707 kr
Skickas inom 10-15 vardagar
870 kr
Läs direkt efter köp
Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space. For finite groups the theory comes in two distinct flavours. In the ''semisimple case'' (for example over the field of complex numbers) one can use character theory to completely understand the representations. This by far is not sufficient when the characteristic of the field divides the order of the group.
Modular Representation Theory of finite Groups comprises this second situation. Many additional tools are needed for this case. To mention some, there is the systematic use of Grothendieck groups leading to the Cartan matrix and the decomposition matrix of the group as well as Green''s direct analysis of indecomposable representations. There is also the strategy of writing the category of all representations as the direct product of certain subcategories, the so-called ''blocks'' of the group. Brauer''s work then establishes correspondences between the blocksof the original group and blocks of certain subgroups the philosophy being that one is thereby reduced to a simpler situation. In particular, one can measure how nonsemisimple a category a block is by the size and structure of its so-called ''defect group''. All these concepts are made explicit for the example of the special linear group of two-by-two matrices over a finite prime field.
Although the presentation is strongly biased towards the module theoretic point of view an attempt is made to strike a certain balance by also showing the reader the group theoretic approach. In particular, in the case of defect groups a detailed proof of the equivalence of the two approaches is given.
This book aims to familiarize students at the masters level with the basic results, tools, and techniques of a beautiful and important algebraic theory. Some basic algebra together with the semisimple case are assumed to be known, although all facts to be used are restated (without proofs) inthe text. Otherwise the book is entirely self-contained.
2 049 kr
Läs direkt efter köp
1 622 kr
Skickas inom 10-15 vardagar
783 kr
Läs direkt efter köp
Focus on Fortifications
New Research on Fortifications in the Ancient Mediterranean and the Near East
123 kr
Läs direkt efter köp
124 kr
Läs direkt efter köp
323 kr
Skickas inom 3-6 vardagar
367 kr
Skickas inom 3-6 vardagar
515 kr
Skickas inom 3-6 vardagar
530 kr
Skickas inom 3-6 vardagar
648 kr
Skickas inom 3-6 vardagar
500 kr
Skickas inom 3-6 vardagar
648 kr
Skickas inom 3-6 vardagar
648 kr
Skickas inom 3-6 vardagar