LEADER 04808nam 2200637 450 001 9910480335703321 005 20210803201615.0 010 $a1-4704-0862-7 035 $a(CKB)3360000000464623 035 $a(EBL)3113959 035 $a(SSID)ssj0000973836 035 $a(PQKBManifestationID)11594953 035 $a(PQKBTitleCode)TC0000973836 035 $a(PQKBWorkID)10984650 035 $a(PQKB)11356416 035 $a(MiAaPQ)EBC3113959 035 $a(PPN)195413229 035 $a(EXLCZ)993360000000464623 100 $a20140909h19911991 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum linear groups /$fBrian Parshall, Jian-pan Wang 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1991. 210 4$dİ1991 215 $a1 online resource (168 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 439 300 $a"January 1991, Volume 89, Number 439 (second of 3 numbers)." 311 $a0-8218-2501-1 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Introduction""; ""1. Quantum Groups""; ""1.1. Quantum affine spaces""; ""1.2. Quantum groups""; ""1.3. Direct products""; ""1.4. Closed subgroups""; ""1.5. Normal closed subgroups""; ""1.6. Kernels and exact sequences""; ""1.7. Cartesian squares""; ""1.8. Coverings""; ""2. Representation Theory of Quantum Groups""; ""2.1. Rational representations""; ""2.2. Functorial description""; ""2.3. Defining matrices""; ""2.4. Contragradient modules and tensor products""; ""2.5. Characters and character groups""; ""2.6. Fixed points""; ""2.7. Induction""; ""2.8. Injective objects"" 327 $a""2.9. Exact subgroups of quantum groups""""2.10. A theorem on central faithfully flat morphisms""; ""2.11. The Hochschild-Serre spectral sequence""; ""3. Quantum Matrix Spaces""; ""3.1. Quadratic algebras""; ""3.2. Quasi-Yang-Baxter algebras""; ""3.3. Basis theorem for quasi-Yang-Baxter algebras""; ""3.4. The quadratic algebras K[A[sup(na???0)][sub(q)]] and K[A[sup(na???0)][sub(q)]]""; ""3.5. The quantum matrix space M[sub(q)](n)""; ""3.6. The bialgebra structure on K[M[sub(q)](n)]""; ""3.7. Some automorphisms and anti-automorphisms"" 327 $a""3.8. K[A[sup(na???0)][sub(q)]] and K[A[sup(na???0)][sub(q)] as K[M[sub(q)](n)]-comodules""""4. Quantum Determinants""; ""4.1. Quantum determinant""; ""4.2. First properties of the determinant""; ""4.3. Subdeterminants""; ""4.4. Laplace expansions""; ""4.5. Some commutators, I""; ""4.6. The centrality of the determinant""; ""5. The Antipode and Quantum Linear Groups""; ""5.1. Some commutators, II""; ""5.2. Some commutators, III""; ""5.3. Quantum general and special linear groups""; ""5.4. A property of the antipode""; ""6. Some Closed Subgroups""; ""6.1. Parabolic and Levi subgroups"" 327 $a""6.2. Some properties of the parabolic and Levi subgroups""""6.3. Some remarks""; ""6.4. Coadjoint action of the maximal torus and the root system""; ""6.5. Character groups of T[sub(q)] and B[sub(q)]""; ""7. Frobenius Morphisms and Kernels""; ""7.1. Gaussian polynomials""; ""7.2. Frobenius morphisms""; ""7.3. Infinitesimal subgroups""; ""7.4. Some homological properties of GL[sub(q)](n)""; ""7.5. Some exact subgroups of GL[sub(q)](n)""; ""8. Global Representation Theory""; ""8.1. Density of the ""big cell""""; ""8.2. Highest weight modules"" 327 $a""8.3. Some properties of induced G[sub(q)]-modules""""8.4. Induction to parabolic subgroups""; ""8.5. The semisimple rank 1 case, I""; ""8.6. The semisimple rank 1 case, II""; ""8.7. The one-to-one correspondence between irreducible modules and dominant weights""; ""8.8. Formal characters and their invariance under the Weyl group""; ""8.9. Injective modules for Borel subgroups""; ""8.10. A finiteness theorem; Weyl modules""; ""9. Infinitesimal Representation Theory""; ""9.1. An infinitesimal version of the ""density theorem"""" 327 $a""9.2. Highest weight and irreducible representations for (G[sub(q)])[sub(1)]-T and (G[sub(q)])[sub(1)]-B"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 439. 606 $aLinear algebraic groups 606 $aRepresentations of groups 606 $aGroup schemes (Mathematics) 608 $aElectronic books. 615 0$aLinear algebraic groups. 615 0$aRepresentations of groups. 615 0$aGroup schemes (Mathematics) 676 $a512/.2 700 $aParshall$b Brian$f1945-$060598 702 $aWang$b Jianpan$f1949- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480335703321 996 $aQuantum linear groups$91945218 997 $aUNINA LEADER 01450nam 2200397 450 001 9910297033503321 005 20200613153040.0 010 $a3-8452-4215-9 035 $a(CKB)4340000000011051 035 $a(WaSeSS)IndRDA00124344 035 $a(EXLCZ)994340000000011051 100 $a20200613d2012 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe effects of trademark rights on the East African common market $econcocting an appropriate East African community trade mark model based on the European trade mark system /$fNiteleka Jacob Nichaenzi Jaconiah 205 $a1.Auflage. 210 1$aBaden-Baden, Germany :$cNomos Verlagsgesellschaft mbH,$d2012. 215 $a1 online resource (480 pages) 225 1 $aMIPLC Studies ;$v16 311 $a3-8329-7700-7 410 0$aMIPLC studies ;$v16. 606 $aTrademarks$xLaw and legislation$zEuropean Union countries 606 $aTrademarks$xLegal status, laws, etc$zAfrica, East 615 0$aTrademarks$xLaw and legislation 615 0$aTrademarks$xLegal status, laws, etc. 676 $a341.7588094 700 $aJaconiah$b Niteleka Jacob Nichaenzi$0973392 801 0$bWaSeSS 801 1$bWaSeSS 906 $aBOOK 912 $a9910297033503321 996 $aThe effects of trademark rights on the East African common market$92214535 997 $aUNINA LEADER 01449oas 2200577 a 450 001 9910388738303321 005 20251105213014.0 011 $a1930-4501 035 $a(OCoLC)48529887 035 $a(CONSER) 2006213843 035 $a(CKB)110994179827004 035 $a(EXLCZ)99110994179827004 100 $a20011204a19uu9999 sy a 101 0 $aeng 135 $auran||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCard technology 210 $aNew York, NY $cAmerican Banker-Bond Buyer 311 08$a1093-1279 606 $aSmart card industry$vPeriodicals 606 $aSmart cards$xTechnological innovations$vPeriodicals 606 $aSmart card industry$2fast$3(OCoLC)fst01121545 608 $aPeriodicals.$2fast 608 $aPeriodicals.$2lcgft 615 0$aSmart card industry 615 0$aSmart cards$xTechnological innovations 615 7$aSmart card industry. 676 $a332.7/6 801 0$bHNK 801 1$bHNK 801 2$bOCLCQ 801 2$bNSD 801 2$bOCLCQ 801 2$bLGG 801 2$bOCLCQ 801 2$bOCLCO 801 2$bOCLCQ 801 2$bOCLCA 801 2$bOCLCF 801 2$bVT2 801 2$bOCLCQ 801 2$bU3W 801 2$bOCLCQ 801 2$bOCLCL 801 2$bOCLCQ 906 $aNEWSPAPER 912 $a9910388738303321 996 $aCard technology$91974701 997 $aUNINA