LEADER 05981nam 22015375 450 001 9910154750803321 005 20190708092533.0 010 $a1-4008-8249-4 024 7 $a10.1515/9781400882496 035 $a(CKB)3710000000622804 035 $a(MiAaPQ)EBC4738792 035 $a(DE-B1597)467956 035 $a(OCoLC)979836554 035 $a(DE-B1597)9781400882496 035 $a(EXLCZ)993710000000622804 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 14$aThe Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 /$fC. Bushnell, P. C. Kutzko 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$dİ1993 215 $a1 online resource (327 pages) $cillustrations 225 0 $aAnnals of Mathematics Studies ;$v311 311 $a0-691-02114-7 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tContents -- $tIntroduction -- $tComments for the reader -- $t1. Exactness and intertwining -- $t2. The structure of simple strata -- $t3. The simple characters of a simple stratum -- $t4. Interlude with Hecke algebra -- $t5. Simple types -- $t6. Maximal types -- $t7. Typical representations -- $t8. Atypical representations -- $tReferences -- $tIndex of notation and terminology 330 $aThis work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N,F) of a non-Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G. The authors define a family of representations of these compact open subgroups, which they call simple types. The first example of a simple type, the "trivial type," is the trivial character of an Iwahori subgroup of G. The irreducible representations of G containing the trivial simple type are classified by the simple modules over a classical affine Hecke algebra. Via an isomorphism of Hecke algebras, this classification is transferred to the irreducible representations of G containing a given simple type. This leads to a complete classification of the irreduc-ible smooth representations of G, including an explicit description of the supercuspidal representations as induced representations. A special feature of this work is its virtually complete reliance on algebraic methods of a ring-theoretic kind. A full and accessible account of these methods is given here. 410 0$aAnnals of mathematics studies ;$vno. 129. 606 $aRepresentations of groups 606 $aNonstandard mathematical analysis 610 $aAbelian group. 610 $aAbuse of notation. 610 $aAdditive group. 610 $aAffine Hecke algebra. 610 $aAlgebra homomorphism. 610 $aApproximation. 610 $aAutomorphism. 610 $aBijection. 610 $aBlock matrix. 610 $aCalculation. 610 $aCardinality. 610 $aClassical group. 610 $aComputation. 610 $aConjecture. 610 $aConjugacy class. 610 $aContradiction. 610 $aCorollary. 610 $aCoset. 610 $aCritical exponent. 610 $aDiagonal matrix. 610 $aDimension (vector space). 610 $aDimension. 610 $aDiscrete series representation. 610 $aDiscrete valuation ring. 610 $aDivisor. 610 $aEigenvalues and eigenvectors. 610 $aEquivalence class. 610 $aExact sequence. 610 $aExactness. 610 $aExistential quantification. 610 $aExplicit formula. 610 $aExplicit formulae (L-function). 610 $aField extension. 610 $aFinite group. 610 $aFunctor. 610 $aGauss sum. 610 $aGeneral linear group. 610 $aGroup theory. 610 $aHaar measure. 610 $aHarmonic analysis. 610 $aHecke algebra. 610 $aHomomorphism. 610 $aIdentity matrix. 610 $aInduced representation. 610 $aInteger. 610 $aIrreducible representation. 610 $aIsomorphism class. 610 $aIwahori subgroup. 610 $aJordan normal form. 610 $aLevi decomposition. 610 $aLocal Langlands conjectures. 610 $aLocal field. 610 $aLocally compact group. 610 $aMathematics. 610 $aMatrix coefficient. 610 $aMaximal compact subgroup. 610 $aMaximal ideal. 610 $aMultiset. 610 $aNormal subgroup. 610 $aP-adic number. 610 $aPermutation matrix. 610 $aPolynomial. 610 $aProfinite group. 610 $aQuantity. 610 $aRational number. 610 $aReductive group. 610 $aRepresentation theory. 610 $aRequirement. 610 $aResidue field. 610 $aRing (mathematics). 610 $aScientific notation. 610 $aSimple module. 610 $aSpecial case. 610 $aSub"ient. 610 $aSubgroup. 610 $aSubset. 610 $aSupport (mathematics). 610 $aSymmetric group. 610 $aTensor product. 610 $aTerminology. 610 $aTheorem. 610 $aTopological group. 610 $aTopology. 610 $aVector space. 610 $aWeil group. 610 $aWeyl group. 615 0$aRepresentations of groups. 615 0$aNonstandard mathematical analysis. 676 $a512/.2 686 $aSK 340$2rvk 700 $aBushnell$b C., $01126189 702 $aKutzko$b P. C., 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154750803321 996 $aThe Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129$92657528 997 $aUNINA LEADER 04195nam 2201057z- 450 001 9910404089403321 005 20210211 010 $a3-03928-749-4 035 $a(CKB)4100000011302244 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/47828 035 $a(oapen)doab47828 035 $a(EXLCZ)994100000011302244 100 $a20202102d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aFood Authentication: Techniques, Trends and Emerging Approaches 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 online resource (182 p.) 311 08$a3-03928-748-6 330 $aMultiple factors can directly influence the chemical composition of foods and, consequently, their organoleptic, nutritional, and bioactive properties, including their geographical origin, the variety or breed, as well as the conditions of cultivation, breeding, and/or feeding, among others. Therefore, there is a great interest in the development of accurate, robust, and high-throughput analytical methods to guarantee the authenticity and traceability of foods. For these purposes, a large number of sensorial, physical, and chemical approaches can be used, which must be normally combined with advanced statistical tools. In this vein, the aim of the Special Issue "Food Authentication: Techniques, Trends, and Emerging Approaches" is to gather original research papers and review articles focused on the development and application of analytical techniques and emerging approaches in food authentication. This Special Issue comprises 12 valuable scientific contributions, including one review article and 11 original research works, dealing with the authentication of foods with great commercial value, such as olive oil, Iberian ham, and fruits, among others. 517 $aFood Authentication 606 $aBiology, life sciences$2bicssc 610 $aadulteration 610 $aamino acids 610 $aaroma 610 $aauthentication 610 $abiomarkers 610 $achemometrics 610 $acultivar 610 $acultivation system 610 $adifferentiation 610 $adiscrimination 610 $aDNA extraction protocol 610 $afingerprinting 610 $afood authentication 610 $afood classification 610 $afood fraud 610 $afood integrity 610 $afood supply chain 610 $afree amino acids 610 $afruit juice authenticity 610 $agas chromatography 610 $agenetic tagging 610 $ahazelnut oil 610 $ahen eggs 610 $ahigh-resolution mass spectrometry 610 $aHPLC-UV 610 $aIberian dry-cured ham 610 $ainformation sharing 610 $ajuice 610 $alipids 610 $aliquid chromatography fingerprinting 610 $aluminescence 610 $aMALDI-MS imaging 610 $amargarines and spreads 610 $amass spectrometry 610 $amineral elements 610 $aminerals 610 $amultivariate classification 610 $an/a 610 $aneuropeptides 610 $anutrition factor 610 $aorganic acids 610 $apartial least square-discriminant analysis 610 $apattern recognition 610 $aphenolic compounds 610 $aphysicochemical quality parameters 610 $apolyphenolic compounds 610 $apomegranate juice 610 $aprickly pear 610 $aprincipal component analysis 610 $aSNPs 610 $aSSRs 610 $astakeholder 610 $astrawberry 610 $asugars 610 $asweet cherries 610 $atraceability 610 $atransparency 610 $avinegar 610 $avirgin olive oil 610 $avolatile compounds 615 7$aBiology, life sciences 700 $aGonza?lez-Domi?nguez$b Rau?l$4auth$01331100 906 $aBOOK 912 $a9910404089403321 996 $aFood Authentication: Techniques, Trends and Emerging Approaches$93040129 997 $aUNINA