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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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Symplectic group 401 407 Symplectic Lie algebra 112 116 System of algebraic difference equations 286 System of equations in finite differences 244 286 Szcarba, R. 45 T (2,3,7) 387 T (2,3,k) 410 T -group 480 T -projective 66 T-acyclic object 24 T-exact 67 T-exact, sequence 66 Taft algebra 196 228 Tamburini, M.C. 387 391 Tame symbol 28 Tame Yangian module 136 Tang, G. 6 57 Tannaka — Krein type theorem 209 Tannakian category 225 Tate twist 42 Tate, J. 52 Tensor algebra 35 Tensor category 227 Tensor formula 136 Term 254 256 277 Tessellation 389 Tetramodule 214 Theory of differential fields 243 Theory of knots and links 365 Theory of Riemann surfaces 389 Thin direct product 477 Thin layer-finite group 472 478 480 Tits alternative 430 Tits system 360 Tits, J. 360 Todd, J.A. 341 Topological category 9 Tor-dimension 24 Torsion 36 Torsion, prime 357 Torsor 327 Torus 343 430 Total character of an order 441 Total integral 200 Total order 441 Total Picard — Vessiot ring 328 Totally imaginary 50 Totally left ordered group 441 Totally positive unit 49 Totally right ordered group 441 Totient function 414 TPVR 328 Trace formula 196 220 Transcendence basis 292 Transcendence degree 45 90 97 99 297 Transfer map 55 transform 246 Transform of a term 256 Transformally, algebraic 250 Transformally, dependent 250 279 Transformally, independent 250 Transformally, transcendental 250 Transitive G-set 67 Transitive permutational representation 391 Translation 244 Translation, category 8 17 65 Transposition 431 Transvection 340 Transvection, group 375 Trapezium Gelfand — Tsetlin pattern 136 Triangle group 387 391 410 Triangle group, T (2,3,7) 391 Triangular 220 Triangular, decomposition 121 Triangular, Hopf algebra 189 Triangular, semisimple Hopf algebra 205 Triangularity of the decomposition matrix 373 Trivial Hopf module 193 Tseitlin 111 Tsetlin, M.L. 111 Twist 178 191 217 224 Twisted Chevalley group 360 Twisted group ring 199 Twisted group-ring 59 Twisted groups of type 361 Twisted H-module 198 Twisted Hopf algebra 199 217 Twisted quantum group 227 Twisted reflection data 349 Twisted Yangian 115 138 146 154 158 Twisting of a group algebra 206 Type of a 290 Type of an R-module 271 Typical 283 Typical 271 Typical difference dimension 271 Typical difference transcendence degree 282 Typical inversive 275 Typical inversive difference dimension 275 Tzetlin 111 Unbounded derived category 23 Uniformizing parameter 46 Unimodular 184 217 Unipotent character 372 Unipotent element of GL 340 Unipotent matrix 13 Unipotent radical 361 Uniquely divisible 36 Uniquely divisible group 34 Uniqueness of the integral 193 219 Unitary 189 Unitary, highest weight module 137 Unitary, R-matrix 189 Universal compatibility condition 308 Universal conjugacy 354 Universal covering space 8 Universal enveloping algebra 210 Universal extension 317 318 Universal R -matrix 136 191 Universal R-form 192 Universal system of 266 Universal system of 263 Universally compatible 315 Unramified 39 40 55 Unramified semisimple algebra 55 Upper triangular 14 Upper triangular Borel subalgebra 140 Valuation ring 312 Van Buskirk, J. 446 Vandiver conjecture 54 Variety 263 264 Variety over a 266 Variety over F 264 Vassiliev — Goussarov invariant 431 Vector, 291 Vector, 272 Vector, 272 Vector, 268 Verlinde formula 224 Voevodsky, V. 38 43 Volodin K-theory 11 14 Volodin space 14 Volodin, I. 5 Volokitin, E.P. 458 von Neumann algebra 205 W-category 20 Waldhausen category 5 20 58 Waldhausen fibration sequence 5 Waldhausen subcategory 20 Weak equivalence 20 58 Weak Hopf algebra 177 230 231 Weak Kac algebra 205 Weakly normal 317 Webb, D. 6 56 58 Wedge product 179 Weight basis 116 158 Weight property 115 Weight subspace 139 160 Welded braid 449 Welded braid diagram 449 Well-generated group 369 Well-generated reflection group 346 Well-generated reflection subgroup 346 Wenzl, H. 443 Weyl, algebra 79 87 88 102 103 Weyl, complete reducibility theorem 111 Weyl, division algebra 99 Weyl, formula 111 Weyl, group 123 343 354 360 361 369 372 375 377 Weyl, group, data 377 Weyl, realization 112 Weyl, skewfield 105 Whitehead group 61 63 Wigner coefficients 111 112 131 Wiles theorem 6 Wiles, A. 52 Wilson, J.S. 387 391 Witt index 408 Witt vectors 222 Word problem 365 430 434 Word problem for braid groups 365 Word problem in the braid group 440 Wreath product 345 Wu Jie 458 X-inner 207 X-outer 208 X-outer action 207 Y(2)-module 147 Y(2)-representation 147 Yang — Baxter equation 176 188 208 Yangian 112 115 126 136 138 146 158 Yangian of level p 136 Yangian, action 151 Yangian, evaluation module 137 Yangian, operator 157 Yetter — Drinfeld category 213 214 220 Young basis 113 Young diagram 113 371 Young orthogonal form 113 Young pattern 111 Young seminormal form 113 Young subgroup 370 Young tableau 112 Z-algebra 122 Zariski, closure 362 Zariski, cohomology 5 38 39 Zariski, hypercohomology 41 Zariski, O. 446 458 Zariski, open cover 39 Zariski, site 39 Zariski, topology 39 315 Zeta function 6 34 51 53 Zetlin 111 Zhelobenko branching rule 114 142 Zhelobenko, D.P. 112 Zorn Lemma 261
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