LEADER 03912nam 22007215 450 001 996466818903316 005 20200703195944.0 010 $a3-540-45881-6 024 7 $a10.1007/3-540-45881-6 035 $a(CKB)1000000000778248 035 $a(SSID)ssj0000325563 035 $a(PQKBManifestationID)11243695 035 $a(PQKBTitleCode)TC0000325563 035 $a(PQKBWorkID)10320959 035 $a(PQKB)10597885 035 $a(DE-He213)978-3-540-45881-4 035 $a(MiAaPQ)EBC3073151 035 $a(PPN)155188887 035 $a(EXLCZ)991000000000778248 100 $a20121227d2003 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aParticle Scattering, X-Ray Diffraction, and Microstructure of Solids and Liquids$b[electronic resource] /$fedited by Manfred L. Ristig, Klaus A. Gernoth 205 $a1st ed. 2003. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2003. 215 $a1 online resource (XII, 196 p.) 225 1 $aLecture Notes in Physics,$x0075-8450 ;$v610 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-44386-X 320 $aIncludes bibliographical references at the end of each chapters. 327 $aScattering from Condensed Matter: A Brief Introduction -- Scattering Studies of Condensed Helium Isotopes -- The One- and Two-Body Densities of Crystalline Matter and Bragg and Diffuse Scattering of Neutrons and X-Rays -- Average Structure vs. Real Structure: Molecular Dynamics Studies of Silica -- Simulation and Theory of Inhomogeneous Liquid Crystals -- Disorder Diffuse Scattering of Crystals and Quasicrystals -- Inelastic Neutron Scattering from Structural Excitations. 330 $aInteresting and new specific results of current theoretical and experimental work in various fields at the frontier of particle scattering and X-ray diffraction are reviewed in this volume. Special emphasis is placed on the study of the microstructure of quantum solids, crystals, and liquids both classically and quantum mechanically. This gives the reader essential insights into the dynamics and properties of these states of matter. The authors address students interested in the physics of quantum solids, crystallography and material science as well as physical chemistry and computational physics. 410 0$aLecture Notes in Physics,$x0075-8450 ;$v610 606 $aCondensed matter 606 $aCrystallography 606 $aPhysical chemistry 606 $aPhysics 606 $aCondensed Matter Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25005 606 $aCrystallography and Scattering Methods$3https://scigraph.springernature.com/ontologies/product-market-codes/P25056 606 $aPhysical Chemistry$3https://scigraph.springernature.com/ontologies/product-market-codes/C21001 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 615 0$aCondensed matter. 615 0$aCrystallography. 615 0$aPhysical chemistry. 615 0$aPhysics. 615 14$aCondensed Matter Physics. 615 24$aCrystallography and Scattering Methods. 615 24$aPhysical Chemistry. 615 24$aNumerical and Computational Physics, Simulation. 676 $a530.4/11 702 $aRistig$b Manfred L$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGernoth$b Klaus A$4edt$4http://id.loc.gov/vocabulary/relators/edt 712 12$aW.E. Heraeus Seminar$d(257th :$f2001 :$eBad Honnef, Germany) 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466818903316 996 $aParticle scattering, X-ray diffraction, and microstructure of solids and liquids$9376911 997 $aUNISA LEADER 03208nam 2200661Ia 450 001 9910483164703321 005 20200520144314.0 010 $a9786613569561 010 $a9781280391644 010 $a1280391642 010 $a9783642111754 010 $a3642111750 024 7 $a10.1007/978-3-642-11175-4 035 $a(CKB)2670000000007035 035 $a(SSID)ssj0000449727 035 $a(PQKBManifestationID)11924047 035 $a(PQKBTitleCode)TC0000449727 035 $a(PQKBWorkID)10449657 035 $a(PQKB)10334841 035 $a(DE-He213)978-3-642-11175-4 035 $a(MiAaPQ)EBC3065023 035 $a(PPN)14907865X 035 $a(EXLCZ)992670000000007035 100 $a20100128d2010 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to complex reflection groups and their braid groups /$fMichel Broue 205 $a1st ed. 2010. 210 $aHeidelberg ;$aNew York $cSpringer$dc2010 215 $a1 online resource (XII, 144 p.) 225 1 $aLecture notes in mathematics,$x1617-9692 ;$v1988 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9783642111747 311 08$a3642111742 311 08$a9783642111846 311 08$a364211184X 320 $aIncludes bibliographical references and index. 327 $aPreliminaries -- Prerequisites and Complements in Commutative Algebra -- Polynomial Invariants of Finite Linear Groups -- Finite Reflection Groups in Characteristic Zero -- Eigenspaces and Regular Elements. 330 $aWeyl groups are particular cases of complex reflection groups, i.e. finite subgroups of GLr(C) generated by (pseudo)reflections. These are groups whose polynomial ring of invariants is a polynomial algebra. It has recently been discovered that complex reflection groups play a key role in the theory of finite reductive groups, giving rise as they do to braid groups and generalized Hecke algebras which govern the representation theory of finite reductive groups. It is now also broadly agreed upon that many of the known properties of Weyl groups can be generalized to complex reflection groups. The purpose of this work is to present a fairly extensive treatment of many basic properties of complex reflection groups (characterization, Steinberg theorem, Gutkin-Opdam matrices, Solomon theorem and applications, etc.) including the basic findings of Springer theory on eigenspaces. In doing so, we also introduce basic definitions and properties of the associated braid groups, as well as a quick introduction to Bessis' lifting of Springer theory to braid groups. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$v1988. 606 $aBraid theory 606 $aReflection groups 615 0$aBraid theory. 615 0$aReflection groups. 676 $a512.2 686 $aMAT 203f$2stub 686 $aSI 850$2rvk 700 $aBroue$b Michel$00 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483164703321 996 $aIntroduction to complex reflection groups and their braid groups$9261779 997 $aUNINA