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Item Details
Title:
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REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS AND RELATED TOPICS IN LIE THEORY AND GEOMETRY
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By: |
Vlastimil Dlab (Editor), Claus Michael Ringel (Editor) |
Format: |
Hardback |
List price:
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£135.00 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
0821834169 |
ISBN 13: |
9780821834169 |
Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
Pub. date: |
15 February, 2004 |
Series: |
Fields Institute Communications No. 40 |
Pages: |
479 |
Description: |
Describes various developments in the representation theory of finite dimensional associative algebras. This book surveys developments in finite dimensional algebras and infinite dimensional Lie theory, especially as the two areas interact and may have future interactions. It is suitable for students and researchers in algebra and geometry. |
Synopsis: |
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. |
Illustrations: |
Illustrations |
Publication: |
US |
Imprint: |
American Mathematical Society |
Returns: |
Returnable |
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Ramadan and Eid al-Fitr
A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
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