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Author: Idun Reiten
Publisher: American Mathematical Soc.
ISBN: 0821824694
Category : Mathematics
Languages : en
Pages : 85
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Book Description
This paper gives a classification of the tame [italic]R-orders of finite representation type in terms of their Auslander-Reiten quivers. Up to reflexive Morita equivalence one can reduce to the case of a tame order of global dimension two. Using covering theory methods, the classification is done by classifying graded orders of global dimension two, and then an interpretation of [capital Greek]Lambda as a skew group ring shows that [capital Greek]Lambda is the completion of its associated graded order.
Author: Idun Reiten
Publisher: American Mathematical Soc.
ISBN: 0821824694
Category : Mathematics
Languages : en
Pages : 85
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Book Description
This paper gives a classification of the tame [italic]R-orders of finite representation type in terms of their Auslander-Reiten quivers. Up to reflexive Morita equivalence one can reduce to the case of a tame order of global dimension two. Using covering theory methods, the classification is done by classifying graded orders of global dimension two, and then an interpretation of [capital Greek]Lambda as a skew group ring shows that [capital Greek]Lambda is the completion of its associated graded order.
Author: Ron Brown
Publisher: American Mathematical Soc.
ISBN: 0821826670
Category : Mathematics
Languages : en
Pages : 125
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Book Description
Introduction Lemmas on truncated group rings Groups of real quaternions Proof of the classification theorem Frobenius complements with core index 1 Frobenius complements with core index 4 Frobenius complements with core index 12 Frobenius complements with core index 24 Frobenius complements with core index 60 Frobenius complements with core index 120 Counting Frobenius complements Maximal orders Isomorphism classes of Frobenius groups with Abelian Frobenius kernel Concrete constructions of Frobenius groups Counting Frobenius groups with Abelian Frobenius kernel Isomorphism invariants for Frobenius complements Schur indices and finite subgroups of division rings Bibliography
Author: Irving Reiner
Publisher:
ISBN:
Category : Language Arts & Disciplines
Languages : en
Pages : 416
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Book Description
Author: H. Koch
Publisher: Springer Science & Business Media
ISBN: 9783540630036
Category : Mathematics
Languages : en
Pages : 280
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Book Description
From the reviews of the first printing, published as Volume 62 of the Encyclopaedia of Mathematical Sciences: "... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994 "... Koch's book is written mostly for non-specialists. It is an up-to-date account of the subject dealing with mostly general questions. Special results appear only as illustrating examples for the general features of the theory. It is supposed that the reader has good general background in the fields of modern (abstract) algebra and elementary number theory. We recommend this volume mainly to graduate studens and research mathematicians." Acta Scientiarum Mathematicarum, 1993
Author: Yūji Yoshino
Publisher: Cambridge University Press
ISBN: 0521356946
Category : Mathematics
Languages : en
Pages : 191
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Book Description
The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists.
Author: F. E. A. Johnson
Publisher: Cambridge University Press
ISBN: 9780521537490
Category : Mathematics
Languages : en
Pages : 282
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Book Description
This 2003 book deals with two fundamental problems in low-dimensional topology with an eye on wider context.
Author: Hiroaki Hijikata
Publisher: American Mathematical Soc.
ISBN: 0821824813
Category : Forms, Modular
Languages : en
Pages : 170
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Book Description
The "basis problem'' for modular forms (of degree one) is to find a basis for a space of modular forms with elements whose Fourier coefficients can be computed explicitly. The authors give a general treatment for all cases. The main idea in the solution is to consider two kinds of forms: theta series associated with special order, and bases of primitive neben space.
Author: Andre Weil
Publisher: Springer Science & Business Media
ISBN: 3662000466
Category : Mathematics
Languages : en
Pages : 313
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Book Description
Author: Yakov G. Berkovich
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110533146
Category : Mathematics
Languages : en
Pages : 406
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Book Description
This is the sixth volume of a comprehensive and elementary treatment of finite group theory. This volume contains many hundreds of original exercises (including solutions for the more difficult ones) and an extended list of about 1000 open problems. The current book is based on Volumes 1–5 and it is suitable for researchers and graduate students working in group theory.
Author: McMaster University
Publisher: American Mathematical Soc.
ISBN: 9780821860083
Category : Mathematics
Languages : en
Pages : 362
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Book Description
Contains the proceedings of the 1983 Seminar on Quadratic and Hermitian Forms held at McMaster University, July 1983. Between 1945 and 1965, most of the work in quadratic (and hermitian) forms took place in arithmetic theory (M Eichler, M Kneser, O T O'Meara).
