A Guide to Quantum GroupsCambridge University Press, 27.07.1995 - 651 Seiten Since they first arose in the 1970s and early 1980s, quantum groups have proved to be of great interest to mathematicians and theoretical physicists. The theory of quantum groups is now well established as a fascinating chapter of representation theory, and has thrown new light on many different topics, notably low-dimensional topology and conformal field theory. The goal of this book is to give a comprehensive view of quantum groups and their applications. The authors build on a self-contained account of the foundations of the subject and go on to treat the more advanced aspects concisely and with detailed references to the literature. Thus this book can serve both as an introduction for the newcomer, and as a guide for the more experienced reader. All who have an interest in the subject will welcome this unique treatment of quantum groups. |
Inhalt
II | 15 |
III | 16 |
V | 18 |
VII | 21 |
IX | 22 |
X | 24 |
XII | 26 |
XIII | 28 |
CXLVI | 280 |
CXLVII | 282 |
CXLVIII | 284 |
CXLIX | 285 |
CL | 288 |
CLI | 289 |
CLII | 290 |
CLIII | 293 |
XIV | 32 |
XV | 33 |
XVI | 34 |
XVII | 35 |
XVIII | 36 |
XX | 37 |
XXI | 39 |
XXII | 41 |
XXIII | 43 |
XXV | 44 |
XXVI | 46 |
XXVII | 48 |
XXVIII | 50 |
XXIX | 54 |
XXX | 55 |
XXXI | 58 |
XXXII | 59 |
XXXIII | 60 |
XXXIV | 62 |
XXXV | 67 |
XXXVI | 68 |
XXXVIII | 69 |
XXXIX | 71 |
XL | 75 |
XLI | 77 |
XLII | 79 |
XLIII | 80 |
XLIV | 81 |
XLV | 82 |
XLVI | 84 |
XLVII | 87 |
XLVIII | 90 |
XLIX | 91 |
L | 95 |
LI | 98 |
LII | 100 |
LIII | 101 |
LIV | 119 |
LVI | 123 |
LVII | 125 |
LVIII | 127 |
LIX | 129 |
LX | 131 |
LXI | 134 |
LXII | 135 |
LXIV | 136 |
LXVI | 138 |
LXVII | 139 |
LXVIII | 140 |
LXIX | 147 |
LXX | 149 |
LXXII | 152 |
LXXIII | 154 |
LXXV | 157 |
LXXVI | 161 |
LXXVIII | 167 |
LXXIX | 168 |
LXXX | 170 |
LXXXI | 171 |
LXXXII | 173 |
LXXXIII | 176 |
LXXXIV | 177 |
LXXXV | 179 |
LXXXVI | 182 |
LXXXVII | 187 |
LXXXIX | 188 |
XC | 189 |
XCI | 190 |
XCII | 192 |
XCIV | 196 |
XCV | 199 |
XCVI | 200 |
XCVII | 206 |
XCVIII | 207 |
C | 212 |
CII | 213 |
CIII | 215 |
CIV | 216 |
CVI | 220 |
CVII | 222 |
CVIII | 223 |
CIX | 227 |
CX | 228 |
CXII | 231 |
CXIII | 234 |
CXIV | 235 |
CXV | 236 |
CXVI | 238 |
CXVII | 240 |
CXIX | 242 |
CXX | 244 |
CXXI | 245 |
CXXII | 246 |
CXXIV | 248 |
CXXV | 249 |
CXXVI | 251 |
CXXVII | 253 |
CXXVIII | 255 |
CXXX | 256 |
CXXXI | 258 |
CXXXII | 262 |
CXXXIV | 263 |
CXXXV | 265 |
CXXXVI | 266 |
CXXXVIII | 267 |
CXXXIX | 271 |
CXL | 274 |
CXLI | 275 |
CXLIII | 276 |
CXLIV | 278 |
CXLV | 279 |
CLIV | 296 |
CLV | 297 |
CLVI | 301 |
CLVII | 304 |
CLVIII | 307 |
CLIX | 309 |
CLXII | 311 |
CLXIII | 313 |
CLXIV | 319 |
CLXV | 324 |
CLXVI | 327 |
CLXVII | 329 |
CLXVIII | 332 |
CLXX | 334 |
CLXXI | 336 |
CLXXII | 337 |
CLXXIII | 338 |
CLXXIV | 339 |
CLXXVI | 344 |
CLXXVII | 348 |
CLXXVIII | 351 |
CLXXIX | 352 |
CLXXX | 357 |
CLXXXI | 359 |
CLXXXIII | 361 |
CLXXXV | 365 |
CLXXXVI | 367 |
CLXXXVII | 370 |
CLXXXVIII | 372 |
CLXXXIX | 374 |
CXC | 375 |
CXCII | 380 |
CXCIII | 383 |
CXCIV | 386 |
CXCV | 388 |
CXCVI | 392 |
CXCVIII | 394 |
CXCIX | 399 |
CC | 403 |
CCII | 405 |
CCIII | 408 |
CCIV | 410 |
CCV | 413 |
CCVI | 414 |
CCVII | 415 |
CCVIII | 416 |
CCIX | 417 |
CCX | 418 |
CCXI | 423 |
CCXII | 426 |
CCXIII | 428 |
CCXIV | 430 |
CCXVI | 433 |
CCXVII | 435 |
CCXVIII | 437 |
CCXIX | 439 |
CCXX | 442 |
CCXXI | 445 |
CCXXIII | 447 |
CCXXIV | 448 |
CCXXV | 451 |
CCXXVII | 454 |
CCXXVIII | 459 |
CCXXX | 462 |
CCXXXI | 463 |
CCXXXII | 465 |
CCXXXIII | 466 |
CCXXXIV | 467 |
CCXXXV | 469 |
CCXXXVI | 473 |
CCXXXVII | 475 |
CCXXXVIII | 476 |
CCXXXIX | 478 |
CCXL | 480 |
CCXLI | 481 |
CCXLII | 486 |
CCXLIV | 488 |
CCXLV | 490 |
CCXLVI | 492 |
CCXLVII | 494 |
CCXLVIII | 495 |
CCXLIX | 496 |
CCL | 502 |
CCLI | 504 |
CCLIII | 510 |
CCLIV | 517 |
CCLVI | 522 |
CCLVII | 525 |
CCLVIII | 527 |
CCLX | 528 |
CCLXI | 529 |
CCLXII | 533 |
CCLXIII | 534 |
CCLXIV | 537 |
CCLXV | 539 |
CCLXVI | 541 |
CCLXVII | 543 |
CCLXVIII | 549 |
CCLXIX | 550 |
CCLXX | 551 |
CCLXXI | 552 |
CCLXXII | 560 |
CCLXXIII | 562 |
CCLXXVI | 563 |
CCLXXVIII | 564 |
CCLXXIX | 565 |
CCLXXX | 566 |
567 | |
638 | |
643 | |
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Häufige Begriffe und Wortgruppen
action affine affine Lie algebras algebra g analogue associated automorphisms basis braid group canonical coalgebra cocommutative commutative complex simple Lie comultiplication CYBE defining relations deformation dimensional Drinfel'd dual element equivalent example field theory finite finite-dimensional irreducible follows formula given highest weight homomorphism Hopf algebra integrable invariant irreducible representations isomorphism K₁ Let g Lett Lie bialgebra structure Lie group linear Lusztig Math Mathematical matrix mod h module morphisms multiplication non-degenerate non-zero Note obtained OUTLINE OF PROOF Poisson-Lie group polynomials PROPOSITION q-deformed quantization quantum groups quasi-Hopf algebra quasitriangular QYBE R-matrix Remark representation theory Reshetikhin resp result root of unity satisfies scalar Section simple Lie algebra sln+1(C Soibelman solutions structure on g subalgebra Subsection tensor product theorem topological U-module Un(g unique universal enveloping algebra universal R-matrix Ures V₁ vector space Vres Weyl group World Scientific Yang-Baxter equation Yangians zero
Verweise auf dieses Buch
Representations and Invariants of the Classical Groups Roe Goodman,Nolan R. Wallach Eingeschränkte Leseprobe - 2000 |
Geometric Models for Noncommutative Algebras Ana Cannas da Silva,Alan Weinstein Eingeschränkte Leseprobe - 1999 |