Foundations of Quantum Group TheoryCambridge University Press, 2000 - 640 σελίδες Now in paperback, this is a graduate level text for theoretical physicists and mathematicians which systematically lays out the foundations for the subject of Quantum Groups in a clear and accessible way. The topic is developed in a logical manner with quantum groups (Hopf Algebras) treated as mathematical objects in their own right. After formal definitions and basic theory, the book goes on to cover such topics as quantum enveloping algebras, matrix quantum groups, combinatorics, cross products of various kinds, the quantum double, the semiclassical theory of Poisson-Lie groups, the representation theory, braided groups and applications to q-deformed physics. Explicit proofs and many examples will allow the reader quickly to pick up the techniques needed for working in this exciting new field. |
Περιεχόμενα
vii | |
II | xi |
III | 1 |
IV | 5 |
V | 6 |
VI | 12 |
VII | 15 |
VIII | 17 |
XLIII | 225 |
XLIV | 239 |
XLV | 262 |
XLVI | 286 |
XLVII | 297 |
XLVIII | 302 |
XLIX | 304 |
L | 314 |
IX | 22 |
X | 28 |
XI | 36 |
XII | 38 |
XIII | 39 |
XIV | 50 |
XV | 55 |
XVI | 65 |
XVII | 70 |
XVIII | 72 |
XIX | 73 |
XX | 85 |
XXI | 95 |
XXII | 102 |
XXIII | 105 |
XXIV | 108 |
XXV | 111 |
XXVI | 128 |
XXVII | 143 |
XXVIII | 149 |
XXIX | 153 |
XXXI | 163 |
XXXII | 166 |
XXXIII | 173 |
XXXIV | 178 |
XXXV | 180 |
XXXVI | 191 |
XXXVII | 192 |
XXXVIII | 197 |
XXXIX | 204 |
XL | 209 |
XLI | 220 |
XLII | 223 |
LI | 335 |
LII | 344 |
LIII | 360 |
LIV | 364 |
LV | 366 |
LVI | 383 |
LVII | 395 |
LVIII | 420 |
LIX | 432 |
LX | 436 |
LXII | 438 |
LXIII | 451 |
LXIV | 465 |
LXV | 489 |
LXVI | 490 |
LXVII | 499 |
LXVIII | 520 |
LXIX | 527 |
LXX | 530 |
LXXI | 540 |
LXXII | 555 |
LXXIII | 568 |
LXXIV | 588 |
LXXV | 589 |
LXXVI | 593 |
LXXVII | 599 |
LXXVIII | 606 |
611 | |
LXXX | 625 |
629 | |
640 | |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
2-cocycle adjoint action alge algebra homomorphism algebra map algebra of observables algebra structure analogous antipode axioms bialgebra bialgebra or Hopf bicrossproduct bosonisation braid statistics braided category braided covector braided groups Chapter coaction coadjoint coalgebra cobracket cocommutative cocycle comodule compute condition construction coproduct corresponding counit covariant covector cross product defined definition deformation denote double cross product element enveloping algebra Example extended factorisable finite finite-dimensional formulae functions functor Ļ generalisation gives H-comodule H-module Hence inverse isomorphism Lemma Lie algebra Lie bracket linear map matched pair matrix module algebra monoidal category morphism noncommutative normalisation notation obeys point of view product algebra Proof Proposition q-deformed quantisation quantum double quantum group quantum matrices quasitriangular Hopf algebra quotient QYBE R-matrix random walk representation right action Section self-dual sense subalgebra tensor product Theorem theory Uq(g usual vector space verify
Αναφορές για αυτό το βιβλίο
Hopf Algebra: An Introduction Sorin Dascalescu,Constantin Nastasescu,Serban Raianu Περιορισμένη προεπισκόπηση - 2000 |