Quantum groups proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, fall 1990
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| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1992
|
| Schriftenreihe: | Lecture notes in mathematics
1510 |
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| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Quantum groups |b proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, fall 1990 |c P. P. Kulish (ed.) |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1992 | |
| 300 | |a XII, 398 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1510 | |
| 650 | 0 | 7 | |a Quantengruppe |0 (DE-588)4252437-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |y 1990 |z Sankt Petersburg |2 gnd-content | |
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| 700 | 1 | |a Kuliš, Petr P. |e Sonstige |4 oth | |
| 710 | 2 | |a Meždunarodnyj matematičeskij institut imeni Ėjlera |e Sonstige |0 (DE-588)2123189-8 |4 oth | |
| 830 | 0 | |a Lecture notes in mathematics |v 1510 |w (DE-604)BV000676446 |9 1510 | |
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Datensatz im Suchindex
| DE-19_call_number | 1601/SI 850-1510 1601/Zi 453 LNM 1510 FVM 111 |
|---|---|
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| DE-BY-TUM_location | 01 |
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| DE-BY-UBM_katkey | 2226241 |
| DE-BY-UBM_media_number | 41601517150010 99992331355 |
| _version_ | 1823051885218627584 |
| adam_text | TABLE
OF
CONTENTS
Foreword V
Preface
VII
I. Quantum
Groups,
Deformation Theory and Representation Theory
V.G.Drinfeld
1
On Some Unsolved Problems in Quantum Group Theory
M.
Gerstenhaber, A.Giaquinto
and
S.D.
Schack
9
Quantum Symmetry
D.Gurevich and V.Rubtsov
47
Yang-Baxter Equation and Deformation of Associative and Lie Algebras
L.I.Korogodsky and L.L.Vaksman
56
Quantum G-Spaces and
Heisenberg
Algebra
V.Lyubashenko
67
Real and Imaginary Forms of Quantum Groups
S.Majid
79
Rank of Quantum Groups and Braided Groups in Dual Form
M.L.Nazarov
90
Yangians of the strange Lie Superalgebras
M.Noumi and K.Mimachi
98
Askey- Wilson Polynomials as Spherical Functions on SUq(2)
G.I.Olshanskii
104
Twisted Yangians and Infinite-Dimensional Classical Lie Algebras
χ
J.Stasheff 12°
Differential Graded Lie Algebras, Quasi-Hopf Algebras
and Higher Homotopy Algebras
E.J.Taft
138
Quantum Deformation of the Flag Variety
K.Ueno and T.Takebayashi
142
Zonal Spherical Functions on Quantum Symmetric Spaces
and Macdonald s Symmetric Polynomials
II. Quantum Groups,
Symmetries of Dynamical Systems and
Conformai
Field Theory
A.Yu.Alekseev, L.D.Faddeev and M.A.Semenov-Tian-Shansky
148
Hidden Quantum Groups inside
Кас
-Moody Algebras
O.Babelon
159
Liouville Theory on the Lattice
and Universal Exchange Algebra for Block Waves
D.Bernard and A.Leclair
176
Non-Local Currents in 2D QFT:
An Alternative to the Quantum Inverse Scattering Method
L.C.Biedenharn and
M.A.Lohe 197
Induced Representations and Tensor Operators for Quantum Groups
H.W.Braden, E.Corrigan, P.E.Dorey and R.Sasaki
210
Affine
Toda
Field Theory: S-Matrix vs Perturbation
E.Celeghini, R.Giachetti, E.Sorace and M.Tarlini
221
Contractions of Quantum Groups
M.-L.Ge
245
New Solutions of Yang-Baxter Equations and Quantum Group Structures
J
.-L.Gervais 259
Quantum Group Symmetry of BD Gravity
XI
L.K.Hadjiivanov, R.R.Paunov
and I.T.Todorov
277
Extended
Chiral
Conformai
Theories with a Quantum Symmetry
A.Kuniba and T.Nakanishi
303
Fusion RSOS Models and Rational Coset Models
F.W.Nijhoff, V.G.Papageorgiou and H.W.Capel
312
Integrable
Time-Discrete Systems: Lattices and Mappings
S.Zakrzewski
326
On Relations between
Poisson
Groups and Quantum Groups
III. Quantum Groups,
Low-Dimensional Topology and Link Invariants
S.V.Kerov
335
Characters of
Hecke
and
Birman- Wenzl
Algebras
T.Kohno
341
Invariants of S-Manifolds Based on
Conformai
Field Theory
and Heegaard Splitting
J.Murakami
350
The
Multi-
Variable Alexander Polynomial
and a One-Parameter Family of Representations ofl4q(sl(2,C)) at q2
= — 1
A.B.Sossinsky
354
Preparation Theorems for
Isotopy
Invariants of Links in S-Manifolds
V.Turaev
363
Quantum Invariants of 3-Manifold and a Glimpse of Shadow Topology
O.Viro
367
Moves of
Triangulations
of a PL-Manifold
M.Wadati, T.Deguchi and Y.Akutsu
373
Yang-Baxter Relation, Exactly Solvable Models and Link Polynomials
XII
IV.
Open Problems in Quantum Group Theory
S.V.Kerov
389
Triangularity of Transition Matrices
for Generalised Hall-Littlewood Polynomials
S.Majid
391
An
Oten
Problem in Quantum Groups
Ya.S.Soibelman
393
Two Problems in Quantized Algebras of Functions
E. J .Taft
394
Unsolved Problems
A.M.Vershik
395
On Classification of Z-graded Lie Algebras of Constant Growth
■which have Algebra C[h] as Cartan
Subalgebra
List of Participants
397
|
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| genre | (DE-588)1071861417 Konferenzschrift 1990 Sankt Petersburg gnd-content |
| genre_facet | Konferenzschrift 1990 Sankt Petersburg |
| id | DE-604.BV006090594 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-03T16:44:36Z |
| institution | BVB |
| institution_GND | (DE-588)2123189-8 |
| isbn | 3540553053 0387553053 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003846298 |
| oclc_num | 246273714 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-384 DE-12 DE-824 DE-19 DE-BY-UBM DE-83 DE-11 DE-188 DE-706 |
| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-384 DE-12 DE-824 DE-19 DE-BY-UBM DE-83 DE-11 DE-188 DE-706 |
| physical | XII, 398 S. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Quantum groups proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, fall 1990 Lecture notes in mathematics Quantengruppe (DE-588)4252437-4 gnd |
| subject_GND | (DE-588)4252437-4 (DE-588)1071861417 |
| title | Quantum groups proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, fall 1990 |
| title_auth | Quantum groups proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, fall 1990 |
| title_exact_search | Quantum groups proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, fall 1990 |
| title_full | Quantum groups proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, fall 1990 P. P. Kulish (ed.) |
| title_fullStr | Quantum groups proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, fall 1990 P. P. Kulish (ed.) |
| title_full_unstemmed | Quantum groups proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, fall 1990 P. P. Kulish (ed.) |
| title_short | Quantum groups |
| title_sort | quantum groups proceedings of workshops held in the euler international mathematical institute leningrad fall 1990 |
| title_sub | proceedings of workshops held in the Euler International Mathematical Institute, Leningrad, fall 1990 |
| topic | Quantengruppe (DE-588)4252437-4 gnd |
| topic_facet | Quantengruppe Konferenzschrift 1990 Sankt Petersburg |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003846298&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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