LEADER 03634nam 22007335 450 001 9910143632103321 005 20200630150750.0 010 $a3-540-49207-0 024 7 $a10.1007/BFb0054977 035 $a(CKB)1000000000210928 035 $a(SSID)ssj0000321484 035 $a(PQKBManifestationID)11246329 035 $a(PQKBTitleCode)TC0000321484 035 $a(PQKBWorkID)10279533 035 $a(PQKB)10958622 035 $a(DE-He213)978-3-540-49207-8 035 $a(PPN)155199781 035 $a(EXLCZ)991000000000210928 100 $a20121227d1998 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aAudio System for Technical Readings$b[electronic resource] /$fby T.V. Raman 205 $a1st ed. 1998. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1998. 215 $a1 online resource (XVII, 131 p.) 225 1 $aLecture Notes in Computer Science,$x0302-9743 ;$v1410 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-65515-8 327 $aAudio system for technical readings -- Recognizing high-level document structure -- AFL: Audio formatting language -- Rendering rules and styles -- Browsing audio documents -- Related work -- Documentation -- Accessibility. 330 $aThis book is based on the author's Ph.D. thesis which was selected during the 1994 ACM Doctoral Dissertation Competition as one of the two co-winning works. T.V. Raman did his Ph.D. work at Cornell University with Professor Davied Gries as thesis advisor. The author presents the computing system ASTER that audio formats electronic documents to produce audio documents. ASTER can speak both literary texts and highly technical documents containing complex mathematics (presented in (LA)TEX). 410 0$aLecture Notes in Computer Science,$x0302-9743 ;$v1410 606 $aSociology 606 $aUser interfaces (Computer systems) 606 $aSocial service 606 $aNatural language processing (Computer science) 606 $aMultimedia systems 606 $aArtificial intelligence 606 $aSociology, general$3https://scigraph.springernature.com/ontologies/product-market-codes/X22000 606 $aUser Interfaces and Human Computer Interaction$3https://scigraph.springernature.com/ontologies/product-market-codes/I18067 606 $aSocial Work$3https://scigraph.springernature.com/ontologies/product-market-codes/X21000 606 $aNatural Language Processing (NLP)$3https://scigraph.springernature.com/ontologies/product-market-codes/I21040 606 $aMultimedia Information Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/I18059 606 $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000 615 0$aSociology. 615 0$aUser interfaces (Computer systems) 615 0$aSocial service. 615 0$aNatural language processing (Computer science) 615 0$aMultimedia systems. 615 0$aArtificial intelligence. 615 14$aSociology, general. 615 24$aUser Interfaces and Human Computer Interaction. 615 24$aSocial Work. 615 24$aNatural Language Processing (NLP). 615 24$aMultimedia Information Systems. 615 24$aArtificial Intelligence. 676 $a362.4/183 700 $aRaman$b T.V$4aut$4http://id.loc.gov/vocabulary/relators/aut$0954317 906 $aBOOK 912 $a9910143632103321 996 $aAudio System for Technical Readings$92158500 997 $aUNINA LEADER 04970nam 22005653 450 001 9910960164903321 005 20231110214821.0 010 $a9781470470227$b(electronic bk.) 010 $z9781470451349 035 $a(MiAaPQ)EBC6939721 035 $a(Au-PeEL)EBL6939721 035 $a(CKB)21420567000041 035 $a(OCoLC)1312158552 035 $a(EXLCZ)9921420567000041 100 $a20220327d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCubic Action of a Rank One Group 205 $a1st ed. 210 1$aProvidence :$cAmerican Mathematical Society,$d2022. 210 4$dİ2022. 215 $a1 online resource (154 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vv.276 311 08$aPrint version: Grüninger, Matthias Cubic Action of a Rank One Group Providence : American Mathematical Society,c2022 9781470451349 327 $aCover -- Title page -- Chapter 1. Introduction -- Chapter 2. Preliminaries -- 2.1. Moufang sets -- 2.2. Rank one groups -- 2.3. Some ring theory -- 2.4. Jordan algebras -- 2.5. Envelopes of special Jordan algebras -- 2.6. Quadratic spaces and Clifford Jordan algebras -- 2.7. Involutory sets and pseudo-quadratic forms -- 2.8. Cubic norm structures -- 2.9. Freudenthal triple systems -- 2.10. Structurable algebras -- 2.11. The Clifford algebra of a Freudenthal triple system -- Chapter 3. Cubic Action -- Chapter 4. Examples of cubic modules -- 4.1. Pseudo-quadratic spaces -- 4.2. Adjoint action -- 4.3. The Tits-Kantor-Koecher module -- 4.4. Quadratic pairs without commuting root subgroups -- 4.5. Elementary groups of Freudenthal triple systems -- 4.6. Connection with Moufang Quadrangles -- 4.7. Suzuki and Ree groups -- Chapter 5. The structure of a cubic module -- Chapter 6. Construction of irreducible submodules -- Chapter 7. Cubic rank one groups with trivial quadratic kernel -- Chapter 8. A characterisation of the adjoint module of \PSL?( ) -- Chapter 9. Cubic rank one groups with non-trivial quadratic kernel -- Chapter 10. Cubic rank one groups with Hermitian quadratic kernel -- Chapter 11. Cubic rank one groups with commutative quadratic kernel -- Bibliography -- Back Cover. 330 $a"We consider a rank one group G = A,B acting cubically on a module V , this means [V, A, A,A] = 0 but [V, G, G,G] = 0. We have to distinguish whether the group A0 := CA([V,A]) CA(V/CV (A)) is trivial or not. We show that if A0 is trivial, G is a rank one group associated to a quadratic Jordan division algebra. If A0 is not trivial (which is always the case if A is not abelian), then A0 defines a subgroup G0 of G acting quadratically on V . We will call G0 the quadratic kernel of G. By a result of Timmesfeld we have G0 = SL2(J,R) for a ring R and a special quadratic Jordan division algebra J R. We show that J is either a Jordan algebra contained in a commutative field or a Hermitian Jordan algebra. In the second case G is the special unitary group of a pseudo-quadratic form of Witt index 1, in the first case G is the rank one group for a Freudenthal triple system. These results imply that if (V,G) is a quadratic pair such that no two distinct root groups commute and charV = 2, 3, then G is a unitary group or an exceptional algebraic group"--$cProvided by publisher. 410 0$aMemoirs of the American Mathematical Society 606 $aGroup theory 606 $aGroup theory and generalizations -- Structure and classification of infinite or finite groups -- Groups with a $BN$-pair; buildings$2msc 606 $aGeometry -- Finite geometry and special incidence structures -- Buildings and the geometry of diagrams$2msc 606 $aGroup theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over arbitrary fields$2msc 606 $aNonassociative rings and algebras -- Jordan algebras (algebras, triples and pairs) -- Jordan structures associated with other structures$2msc 615 0$aGroup theory. 615 7$aGroup theory and generalizations -- Structure and classification of infinite or finite groups -- Groups with a $BN$-pair; buildings. 615 7$aGeometry -- Finite geometry and special incidence structures -- Buildings and the geometry of diagrams. 615 7$aGroup theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups over arbitrary fields. 615 7$aNonassociative rings and algebras -- Jordan algebras (algebras, triples and pairs) -- Jordan structures associated with other structures. 676 $a512/.2 676 $a512.2 686 $a20E42$a51E24$a20G15$a17C50$2msc 700 $aGru?ninger$b Matthias$01802161 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910960164903321 996 $aCubic Action of a Rank One Group$94347720 997 $aUNINA