LEADER 03343nam 22006375 450 001 9910484758503321 005 20250609112044.0 010 $a3-030-58373-2 024 7 $a10.1007/978-3-030-58373-6 035 $a(CKB)4100000011493441 035 $a(DE-He213)978-3-030-58373-6 035 $a(MiAaPQ)EBC6369401 035 $a(PPN)251095045 035 $a(MiAaPQ)EBC6368881 035 $a(EXLCZ)994100000011493441 100 $a20201006d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLectures in Algebraic Combinatorics $eYoung's Construction, Seminormal Representations, SL(2) Representations, Heaps, Basics on Finite Fields /$fby Adriano M. Garsia, Ömer E?ecio?lu 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XIV, 232 p. 36 illus.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v2277 311 08$a3-030-58372-4 320 $aIncludes bibliographical references. 330 $aCapturing Adriano Garsia's unique perspective on essential topics in algebraic combinatorics, this book consists of selected, classic notes on a number of topics based on lectures held at the University of California, San Diego over the past few decades. The topics presented share a common theme of describing interesting interplays between algebraic topics such as representation theory and elegant structures which are sometimes thought of as being outside the purview of classical combinatorics. The lectures reflect Garsia?s inimitable narrative style and his exceptional expository ability. The preface presents the historical viewpoint as well as Garsia's personal insights into the subject matter. The lectures then start with a clear treatment of Alfred Young's construction of the irreducible representations of the symmetric group, seminormal representations and Morphy elements. This is followed by an elegant application of SL(2) representations to algebraic combinatorics. The last two lectures are on heaps, continued fractions and orthogonal polynomials with applications, and finally there is an exposition on the theory of finite fields. The book is aimed at graduate students and researchers in the field. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v2277 606 $aAlgebraic fields 606 $aPolynomials 606 $aGroup theory 606 $aCommutative algebra 606 $aCommutative rings 606 $aField Theory and Polynomials 606 $aGroup Theory and Generalizations 606 $aCommutative Rings and Algebras 615 0$aAlgebraic fields. 615 0$aPolynomials. 615 0$aGroup theory. 615 0$aCommutative algebra. 615 0$aCommutative rings. 615 14$aField Theory and Polynomials. 615 24$aGroup Theory and Generalizations. 615 24$aCommutative Rings and Algebras. 676 $a511.6 700 $aGarsia$b Adriano M.$f1928-$056880 702 $aEg?eciog?lu$b O?mer Nuri$f1954- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484758503321 996 $aLectures in algebraic combinatorics$92413547 997 $aUNINA