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Hazewinkel M. (ed.) — Handbook of Algebra, Volume 4
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Название: Handbook of Algebra, Volume 4Автор: Hazewinkel M. (ed.) Аннотация: Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest.
Язык: Рубрика: Математика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2006Количество страниц: 518Добавлена в каталог: 30.06.2008Операции: Положить на полку |
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Generic zero of a variety 265 Generic zero of an irreducible variety 266 Genus 387 430 Genus, formula 390 397 399 Geometric n-simplex 7 Geometric realization 7 Geometrical model 430 Geometry of a root system 356 Gersten conjecture 5 28 55 Gersten — Swan K-theory 5 Gersten, S. 5 Gerstenhaber — Schack cohomology 222 Gillet and Waldhausen 23 GLE (generalized Liouvillian extension) 321 Global field 6 48 Global fieldof characteristic p 53 Global section 16 Gluing axiom for weak equivalences 20 Goldie theorem 99 Golod p-group 470 Good basis 112 Good filtration 93 Goryunov, V.V. 455 Gould construction 116 GPVE 319 Graded 268 Graded 268 Graded difference R-module 268 Graded Hopf algebra 175 218 229 Graded module 214 Graded multiplicity 343 Green functor 65 68 Green — Deligne — Lusztig parameterization 397 Greenspan number 300 Grid function 286 Grobner basis 243 Grobner basis,method 276 Grothendieck group 9 Grothendieck ring 223 Grothendieck, A. 5 176 205 Ground 263 Group of all diagonal matrices 361 Group of Burnside type 484 Group of elementary matrices 12 Group of grouplike elements 228 Group of isotopy classes of braids 446 Group of Lie type 397 Group of square free order 58 Group of totally positive units 49 Group with a BN-pair 360 Group with unmixed factors 471 Group, algebra 175 210 228 Group, completion 18 Group-graded algebra 198 Grouplike element 178 Groups of automorphisms of free groups 429 Guillemin — Sternberg construction 158 Guo, X. 6 H-commutative 215 H-Galois extension 201 H-Galois object 201 H-invariant form 227 H-measured algebra 198 H-module algebra 198 H-module map 210 H-space 17 47 Hall — Janko group 374 Hambleton — Taylor — Williams conjecture 60 Handle 391 415 Handlebody 430 446 Harish — Chandra module 112 Hecke algebra 366 372 373 Height of a root 357 Heisenberg double 217 Hennings invariant 211 Hereditary order 6 Hermitian anti-involution 123 Herzog, F. 243 Hidden symmetry 114 Higher Chow group 43 Higher class group 55 60 Higher G-theory 58 Higher K-group 55 Higher K-theory 5 51 Higher K-theory of 53 Higher K-theory of modules over ‘EI’ categories 6 Higher regulator map 52 Higher topological K-theory 9 Highest root 374 Highest vector 117 120 131 139 147 154 159 Highest weight 111 117 120 137 139 147 154 159 Highest weight, irreducible representation 137 Highest weight, representation 154 Highest weight, vector 117 Higman diagram 394 Higman, G. 387 391 413 Hilbert, Nullstellensatz 265 Hilbert, polynomial 92 98 269 282 Hilbert, series 341 Hilbert, theorem 90 38 Holomorph 489 Holomorph of a group 473 Holomorphic differential form 454 Holonomic module 91 92 94 Holonomic number 79 84 92 93 Holonomic R-module 93 HOMFLY-PT invariant 365 HOMFLY-PT polynomial 367 Homological dimension 24 Homology of braid group 455 Homology, theory defined by a spectrum 11 Homomorphism of filtered 269 Homomorphism of filtered difference modules 269 Homotopy, associative 18 Homotopy, category 23 Homotopy, colimit 9 Homotopy, commutative 18 Homotopy, fibration 14 32 Homotopy, fibre sequence 31 Homotopy, groups of a spectrum 10 Homotopy, invariant 14 43 Hook 371 Hopf, 2-cocycle 191 Hopf, algebra 147 175 182 455 Hopf, algebra in a braided tensor category 218 219 Hopf, algebra in the category of 218 Hopf, algebra of rooted tree 176 Hopf, algebra, filtration 229 Hopf, algebra, homomorphism 182 Hopf, algebras in categories 208 Hopf, algebroid 230 Hopf, extension 187 Hopf, Galois extension 201 Hopf, H. 175 Hopf, ideal 182 Hopf, module 193 197 214 Hurewitz map 12 46 Hurwitz, A. 387 429 Hurwitz, generation 397 402 410 Hurwitz, group 387 410 412 413 Hurwitz, subgroup 387 390 401 405 Hurwitz, subgroups of 404 Hurwitz, upper bound 390 Hyperbolic geometry 389 Hyperbolic plane 389 Hyperbolic triangle 388 390 Hyperbolic triangle, group 389 Hypercohomology 39 Hypercohomology, group 42 Hyperelementary 68 Hyperplane complement 374 Imprimitive reflection group 357 Imprimitive subgroup 345 Incompatible 304 Incompatible difference field extensions 304 Indecomposable coalgebra 179 Indecomposable Coxeter matrix 352 Indecomposable group 375 Indecomposable ideal 262 Indecomposable reflection groups over finite fields 375 Indexing 291 Indexing of elements 293 Indicator system 111 Induced automorphisms of Gal (L/K) 314 Induction homomorphism 67 Induction of modules 203 Infinite 2-group 487 Infinite group 469 Infinite group with finiteness conditions 491 Infinite loop space 10 23 32 Infinite matrices 137 Infinite simple (2,3, 7)-generated group 414 Infinite symmetric group 19 Infinite Weyl group 361 Infinite-dimensional representations of 137 Infinitesimal braiding 229 Infinitesimal Hopf algebra 230 Infinitesimal lowering operator 111 Inflation 15 Initial 257 Initial of a 254 Initial of A with respect to yi 301 Inner automorphism 206 207 222 Inner derivation 102 Inner measuring 206 Integrable system 158 integral 183 196 205 Integral, Cartan matrix 355 Intermediate 317 Interpolation point 155 Interpolation polynomial 126 141 152 Interpolation properties 157 Invariant 186 205 Invariant of oriented knots and links 367 Invariant, 302 Invariant, basis property 18 Invariant, differential forms 342 Invariant, lattice 374 Invariant, quadratic form 347 Invariant, ring 341 Invariants of 3-manifolds 212 Inverse closure 246 Inverse difference field 287 Inverse difference Galois problem 330 Inverse Galois problem 401 Inverse limit degree 287 Inverse problem 330 Inverse reduced limit degree 288 Inverse scattering method 115 158 Inversive 275 Inversive 272 Inversive 275 Inversive closure 248 249 Inversive closure of a 249 Inversive difference, algebra 290 Inversive difference, dimension 275 Inversive difference, field 245 249 Inversive difference, field extension 284 Inversive difference, operator 272 Inversive difference, R-module 272 Inversive difference, ring 244 Inversive difference, structure 273 Inversive difference, type 275 Inversive difference, vector space 272 284 Inversive Ritt 261 Involution, finitely embedded 488 Irrationality of characters 373 Irreducible 264 Irreducible character 223 Irreducible character of a reflection group 343 Irreducible coalgebra 179 Irreducible complex reflection group 363 Irreducible component 179 264 Irreducible Coxeter system 352 Irreducible module 223 Irreducible p-adic reflection groups 376 Irreducible real reflection group 352 Irreducible reflection group 345 Irreducible reflection group over finite field 375 Irreducible representation 111 Irreducible representation of a complex reflection group 369 Irreducible subgroup 402 403 Irreducible variety 297 Irredundant 264 Irredundant, representation 261 Irredundant, representation of a variety 266 Irregular prime 54 Isotopy class 429 Isotropic polynomial subalgebra 103 Isotropic subalgebra 80 102 103 Ivanov, N.V. 430 Ivko, M.N. 473 475 Iwahori — Hecke algebra 113 354 366 373 j-induction 369 370 j-leader 277 Jacobi bound 300 Jacobi number 300 Jacobson radical 179 James, G. 373 Johnson, J. 243 Joining representations 391 Jones polynomial 211 365 368 Jones, V.F.R. 429 Joseph, A. 102 k-affine 205 K-groups of number fields 6 K-linear derivation 284 K-theory 5 K-theory of 53 K-theory of group rings 55 K-theory of Karoubi and Villamayor 13 K-theory of local fields 46 K-theory of maximal orders 55 K-theory of orders 55 K-theory with mod-r coefficients 33 K-theory, space 21 K-theory, space of a W-category 22 K-theory, spectrum 23 K-theoryof Waldhausen categories 31 Kac algebra 205 Kac — Moody algebra 359 Kac — Zhu theorem 197 224 Kac, G.I. 197 Kahn, B. 6 46 Kan complex 7 Kaplansky conjecture 176 196 197 221 Kaplansky conjecture, 10th conjecture 225 Kaplansky conjecture, 5th conjecture 222 Kaplansky conjecture, 6th conjecture 224 Karoubi — Villamayor K-theory 5 11 Kauffman invariant 211 Keating, M.E. 61 Keigher, W. 243 Kernel of a Frobenius group 490 Keune, F. 5 Keyman, E. 450 Killing, W.K.J. 111 Klein Four group 473 Klein quartic 390 Klein, F. 387 429
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