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Hazewinkel M. (ed.) — Handbook of Algebra, Volume 4
Hazewinkel M. (ed.) — Handbook of Algebra, Volume 4



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Название: Handbook of Algebra, Volume 4

Автор: 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.



In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2006

Количество страниц: 518

Добавлена в каталог: 30.06.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
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 $F_4$      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 $\sigma *$-algebra      290
Type of an R-module      271
Typical $\sigma *$-transcendence degree      283
Typical $\sigma$-dimension      271
Typical difference dimension      271
Typical difference transcendence degree      282
Typical inversive $\sigma *$-dimension      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 $\sigma *$-overfields      266
Universal system of $\sigma$-overfields      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 $\sigma *$-field      266
Variety over F      264
Vassiliev — Goussarov invariant      431
Vector, $\sigma *$-k-space      291
Vector, $\sigma *$-R-space      272
Vector, $\sigma *$-space      272
Vector, $\sigma$-R-space      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
1 2 3 4 5 6 7 8
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