LEADER 03358nam 22006255 450 001 9910338255403321 005 20200706064418.0 010 $a3-030-05627-9 024 7 $a10.1007/978-3-030-05627-8 035 $a(CKB)4100000007598493 035 $a(DE-He213)978-3-030-05627-8 035 $a(MiAaPQ)EBC5717961 035 $a(PPN)233799982 035 $a(EXLCZ)994100000007598493 100 $a20190128d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuadratic Forms $eCombinatorics and Numerical Results /$fby Michael Barot, Jesús Arturo Jiménez González, José-Antonio de la Peña 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XX, 220 p. 111 illus.) 225 1 $aAlgebra and Applications,$x1572-5553 ;$v25 311 $a3-030-05626-0 327 $a1 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. 330 $aThis monograph presents combinatorial and numerical issues on integral quadratic forms as originally obtained in the context of representation theory of algebras and derived categories. Some of these beautiful results remain practically unknown to students and scholars, and are scattered in papers written between 1970 and the present day. Besides the many classical results, the book also encompasses a few new results and generalizations. The material presented will appeal to a wide group of researchers (in representation theory of algebras, Lie theory, number theory and graph theory) and, due to its accessible nature and the many exercises provided, also to undergraduate and graduate students with a solid foundation in linear algebra and some familiarity on graph theory. 410 0$aAlgebra and Applications,$x1572-5553 ;$v25 606 $aAlgebras, Linear 606 $aGraph theory 606 $aCombinatorics 606 $aAlgebra 606 $aField theory (Physics) 606 $aLinear Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11100 606 $aGraph Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M29020 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aField Theory and Polynomials$3https://scigraph.springernature.com/ontologies/product-market-codes/M11051 615 0$aAlgebras, Linear. 615 0$aGraph theory. 615 0$aCombinatorics. 615 0$aAlgebra. 615 0$aField theory (Physics). 615 14$aLinear Algebra. 615 24$aGraph Theory. 615 24$aCombinatorics. 615 24$aField Theory and Polynomials. 676 $a512.5 700 $aBarot$b Michael$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768297 702 $aJiménez González$b Jesús Arturo$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $ade la Peña$b José-Antonio$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910338255403321 996 $aQuadratic Forms$92507103 997 $aUNINA