03358nam 22006255 450 991033825540332120200706064418.03-030-05627-910.1007/978-3-030-05627-8(CKB)4100000007598493(DE-He213)978-3-030-05627-8(MiAaPQ)EBC5717961(PPN)233799982(EXLCZ)99410000000759849320190128d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierQuadratic Forms Combinatorics and Numerical Results /by Michael Barot, Jesús Arturo Jiménez González, José-Antonio de la Peña1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (XX, 220 p. 111 illus.) Algebra and Applications,1572-5553 ;253-030-05626-0 1 Fundamental Concepts -- 2 Positive Quadratic Forms -- 3 Nonnegative Quadratic Forms -- 4 Concealedness and Weyl Groups -- 5 Weakly Positive Quadratic Forms -- 6 Weakly Nonnegative Quadratic Forms -- References -- Index.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.Algebra and Applications,1572-5553 ;25Algebras, LinearGraph theoryCombinatoricsAlgebraField theory (Physics)Linear Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11100Graph Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M29020Combinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Field Theory and Polynomialshttps://scigraph.springernature.com/ontologies/product-market-codes/M11051Algebras, Linear.Graph theory.Combinatorics.Algebra.Field theory (Physics).Linear Algebra.Graph Theory.Combinatorics.Field Theory and Polynomials.512.5Barot Michaelauthttp://id.loc.gov/vocabulary/relators/aut768297Jiménez González Jesús Arturoauthttp://id.loc.gov/vocabulary/relators/autde la Peña José-Antonioauthttp://id.loc.gov/vocabulary/relators/autBOOK9910338255403321Quadratic Forms2507103UNINA