| Autor: | Michael Barot, Jesús Arturo Jiménez González, José-Antonio de la Peña |
|---|---|
| EAN: | 9783030056278 |
| eBook Format: | |
| Sprache: | Englisch |
| Produktart: | eBook |
| Veröffentlichungsdatum: | 28.01.2019 |
| Untertitel: | Combinatorics and Numerical Results |
| Kategorie: | |
| Schlagworte: | integral quadratic form;signed graph;reduction algorithm;roots and root systems;radicals and their extensions;Weyl group;Coxeter matrix;weak positivity;weak nonnegativity;Dynkin diagram;Euclidean diagram;inflation and deflation;one-point extension;MS |
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This monograph presents combinatorial and numerical issues on integral quadratic forms as originally obtained in the context of representation theory of algebras and derived categories.
Some of these beautiful results remain practically unknown to students and scholars, and are scattered in papers written between 1970 and the present day. Besides the many classical results, the book also encompasses a few new results and generalizations.
The material presented will appeal to a wide group of researchers (in representation theory of algebras, Lie theory, number theory and graph theory) and, due to its accessible nature and the many exercises provided, also to undergraduate and graduate students with a solid foundation in linear algebra and some familiarity on graph theory.
Michael Barot obtained his Ph.D. in 1997 at UNAM. He then worked at the Mathematics Institute, focusing on representation theory of finite-dimensional algebras, cluster algebras and Lie algebras. In 2012, he started working as a high school teacher in Switzerland.
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