Representations Of Finite Dimensional Algebras

Author : Peter Gabriel
Publisher : Springer Science & Business Media
ISBN 13 : 9783540629900
Total Pages : 188 pages
Book Rating : 4.04/5 ( download)

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Download or read book Representations of Finite-Dimensional Algebras written by Peter Gabriel and published by Springer Science & Business Media. This book was released on 1997-09-12 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... [Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ..." --The Mathematical Gazette

Author : Yurj A. Drozd
Publisher : Springer Science & Business Media
ISBN 13 : 3642762441
Total Pages : 260 pages
Book Rating : 4.44/5 ( download)

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Download or read book Finite Dimensional Algebras written by Yurj A. Drozd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English edition has an additional chapter "Elements of Homological Al gebra". Homological methods appear to be effective in many problems in the theory of algebras; we hope their inclusion makes this book more complete and self-contained as a textbook. We have also taken this occasion to correct several inaccuracies and errors in the original Russian edition. We should like to express our gratitude to V. Dlab who has not only metic ulously translated the text, but has also contributed by writing an Appendix devoted to a new important class of algebras, viz. quasi-hereditary algebras. Finally, we are indebted to the publishers, Springer-Verlag, for enabling this book to reach such a wide audience in the world of mathematical community. Kiev, February 1993 Yu.A. Drozd V.V. Kirichenko Preface The theory of finite dimensional algebras is one of the oldest branches of modern algebra. Its origin is linked to the work of Hamilton who discovered the famous algebra of quaternions, and Cayley who developed matrix theory. Later finite dimensional algebras were studied by a large number of mathematicians including B. Peirce, C.S. Peirce, Clifford, ·Weierstrass, Dedekind, Jordan and Frobenius. At the end of the last century T. Molien and E. Cartan described the semisimple algebras over the complex and real fields and paved the first steps towards the study of non-semi simple algebras.

Author : Peter Gabriel
Publisher : Springer
ISBN 13 : 9783540537328
Total Pages : 177 pages
Book Rating : 4.25/5 ( download)

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Download or read book Representations of Finite-Dimensional Algebras written by Peter Gabriel and published by Springer. This book was released on 1992-10-08 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... [Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ..." --The Mathematical Gazette

Author : Peter Gabriel
Publisher : Springer
ISBN 13 : 9783642580970
Total Pages : 0 pages
Book Rating : 4.71/5 ( download)

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Download or read book Representations of Finite-Dimensional Algebras written by Peter Gabriel and published by Springer. This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... [Gabriel and Roiter] are pioneers in this subject and they have included proofs for statements which in their opinions are elementary, those which will help further understanding and those which are scarcely available elsewhere. They attempt to take us up to the point where we can find our way in the original literature. ..." --The Mathematical Gazette

Author : Алексей Иванович Кострикин
Publisher : Springer
ISBN 13 :
Total Pages : 204 pages
Book Rating : 4.92/5 ( download)

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Download or read book Algebra VIII written by Алексей Иванович Кострикин and published by Springer. This book was released on 1992 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Peter Gabriel
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.96/5 ( download)

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Download or read book Representations of Finite-dimensional Algebras written by Peter Gabriel and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vlastimil Dlab
Publisher : American Mathematical Soc.
ISBN 13 : 0821834169
Total Pages : 502 pages
Book Rating : 4.69/5 ( download)

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Download or read book Representations of Finite Dimensional Algebras and Related Topics in Lie Theory and Geometry written by Vlastimil Dlab and published by American Mathematical Soc.. This book was released on 2004 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute. In addition to the traditional ``instructional'' workshop preceding the conference, there were also workshops on ``Commutative Algebra, Algebraic Geometry and Representation Theory'', ``Finite Dimensional Algebras, Algebraic Groups and Lie Theory'', and ``Quantum Groups and Hall Algebras''. These workshops reflect the latest developments and the increasing interest in areas that are closely related to the representation theory of finite dimensional associative algebras. Although these workshops were organized separately, their topics are strongly interrelated. The workshop on Commutative Algebra, Algebraic Geometry and Representation Theory surveyed various recently established connections, such as those pertaining to the classification of vector bundles or Cohen-Macaulay modules over Noetherian rings, coherent sheaves on curves, or ideals in Weyl algebras. In addition, methods from algebraic geometry or commutative algebra relating to quiver representations and varieties of modules were presented. The workshop on Finite Dimensional Algebras, Algebraic Groups and Lie Theory surveyed developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact and may have future interactions. The workshop on Quantum Groups and Hall Algebras dealt with the different approaches of using the representation theory of quivers (and species) in order to construct quantum groups, working either over finite fields or over the complex numbers. In particular, these proceedings contain a quite detailed outline of the use of perverse sheaves in order to obtain canonical bases. The book is recommended for graduate students and researchers in algebra and geometry.

Author : Hiroyuki Tachikawa
Publisher : American Mathematical Soc.
ISBN 13 : 9780821860168
Total Pages : 350 pages
Book Rating : 4.6X/5 ( download)

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Download or read book Representations of Finite Dimensional Algebras written by Hiroyuki Tachikawa and published by American Mathematical Soc.. This book was released on 1991 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Tsukuba International Conference on Representations of Algebras and Related Topics (fifth ICRA), held at the University of Tsukuba, August 13-18, 1990. The conference focused on the rapid development of research on representations of finite-dimensional algebras and group representations. A subset of the fifty-seven lectures are collected here, together with a number of other papers not originally presented at the conference. With contributions by some of the world's leading experts in this area, this book provides a valuable overview of the frontier of research in representations of algebras.

Author : Dieter Happel
Publisher : Cambridge University Press
ISBN 13 : 0521339227
Total Pages : 222 pages
Book Rating : 4.23/5 ( download)

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Download or read book Triangulated Categories in the Representation Theory of Finite Dimensional Algebras written by Dieter Happel and published by Cambridge University Press. This book was released on 1988 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras.

Author : Dieter Happel
Publisher :
ISBN 13 : 9781107368446
Total Pages : 208 pages
Book Rating : 4.48/5 ( download)

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Download or read book Triangulated Categories in the Representation Theory of Finite Dimensional Algebras written by Dieter Happel and published by . This book was released on 1988 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras. In recent years representation theory has been an area of intense research and the author shows that derived categories of finite-dimensional algebras are a useful tool in studying tilting processes. Results on the structure of derived categories of hereditary algebras are used to investigate Dynkin algebras and interated tilted algebras. The author shows how triangulated categories arise naturally in the study of Frobenius categories. The study of trivial extension algebras and repetitive algebras is then developed using the triangulated structure on the stable category of the algebra's module category. With a comprehensive reference section, algebraists and research students in this field will find this an indispensable account of the theory of finite-dimensional algebras.