Quadratic Forms
Combinatorics and Numerical Results
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
Compilation of both classical and new material on integral quadratic forms Presents results as obtained in a representation theoretical setting, free from that background Gathers algorithms and criteria to verify numerical properties of quadratic forms and their roots Includes over 170 exercises
Autor*in
Michael Barot
Themen in »Quadratic Forms«
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 MSC (2010): 11D09, 11D45, 05C50 combinatorics