Yang Baxter equation in integrable systems:
Saved in:
| Other Authors: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore <<[u.a.]>>
World Scientific
1989
|
| Series: | Advanced series in mathematical physics
10 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 715 S. |
Staff View
MARC
| LEADER | 00000nam a22000001cb4500 | ||
|---|---|---|---|
| 001 | BV024367376 | ||
| 003 | DE-604 | ||
| 005 | 20090910 | ||
| 007 | t | ||
| 008 | 901212s1989 |||| 00||| eng d | ||
| 035 | |a (OCoLC)255997387 | ||
| 035 | |a (DE-599)BVBBV024367376 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-83 |a DE-188 | ||
| 082 | 0 | |a 530.143 | |
| 084 | |a 81-06 |2 msc | ||
| 245 | 1 | 0 | |a Yang Baxter equation in integrable systems |c ed.: Michio Jimbo |
| 264 | 1 | |a Singapore <<[u.a.]>> |b World Scientific |c 1989 | |
| 300 | |a X, 715 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Advanced series in mathematical physics |v 10 | |
| 650 | 0 | 7 | |a Yang-Baxter-Gleichung |0 (DE-588)4291478-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4143413-4 |a Aufsatzsammlung |2 gnd-content | |
| 689 | 0 | 0 | |a Yang-Baxter-Gleichung |0 (DE-588)4291478-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Jinbo, Michio |4 edt | |
| 830 | 0 | |a Advanced series in mathematical physics |v 10 |w (DE-604)BV000900258 |9 10 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018348207&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-018348207 | ||
Record in the Search Index
| _version_ | 1804140322032189440 |
|---|---|
| adam_text | vii
CONTENTS
Preface v
PIONEERING WORKS 5
C. N. Yang, Some Exact Results for the Many-Body
Problem in One Dimension with Repulsive Delta-Function
Interaction , Phys. Rev. Lett. 19 (1967) 1312-1314 7
C. N. Yang, S Matrix for the One-Dimensional iV-Body
Problem with Repulsive or Attractive 6-Function
Interaction , Phys. Rev. 168 (1968) 1920-1923 10
R. J. Baxter, Partition Function of the Eight-Vertex Lattice
Model , Ann. Phys. 70 (1972) 193-228 14
R. J. Baxter, Solvable Eight-Vertex Model on an Arbitrary
Planar Lattice , Phil. Trans. Royal Soc. London 289
(1978) 315-346 50
A. B. Zamolodchikov and Al. B. Zamolodchikov,
Factorized iS-Matrices in Two Dimensions as the
Exact Solutions of Certain Relativistic Quantum Field
Theory Models , Ann. Phys. 120 (1979) 253-291 82
E. K. Sklyanin, Quantum Version of the Method of Inverse
Scattering Problem , J. Soviet Math. 19 (1982) 1546-1596.
[Zapiski Nauch. Sem. LOMI95 (1980), 55-128] 121
P. P. Kulish and E. K. Sklyanin, Solutions of the
Yang-Baxter Equation , J. Soviet Math. 19 (1982) 1596-1620.
[Zapiski Nauch. Sem. LOMI95 (1980), 129-160] 172
CLASSICAL YANG-BAXTER EQUATION 199
A. A. Belavin and V. G. Drinfel d, Solutions of the
Classical Yang-Baxter Equation for Simple Lie Algebras ,
Fund. Anal. Appl. 16 (1983) 159-180 200
V. G. Drinfel d, Hamiltonian Structures on Lie Groups,
Lie Bialgebras and the Geometric Meaning of the
Classical Yang-Baxter Equations , Soviet Math. Doklady
27 (1983) 68-71 222
M. A. Semenov-Tyan-Shanskii, What is a Classical
r-matrix? , Fund. Anal. Appl. 17 (1984) 259-272 226
viii
QUANTUM GROUPS 243
E. K. Sklyanin, Some Algebraic Structures Connected
with the Yang-Baxter Equation , Fund. Anal. Appl. 16
(1983) 263-270; 17 (1984) 273-284 244
V. G. Drinfel d, Hopf Algebras and the Quantum
Yang-Baxter Equation , Soviet Math. Doklady 32
(1985) 254-258 264
V. G. DrinfeFd, Quantum Groups , Proceedings of the
International Congress of Mathematicians, Berkeley 1987,
798-820 269
M. Jimbo, A g-Difference Analogue of U(q) and the
Yang-Baxter Equation , Lett. Math. Phys. 10
(1985) 63-69 292
L. D. Faddeev, N. Yu. Reshetikhin and L. A. Takhtajan,
Quantization of Lie Groups and Lie Algebras , in
Algebraic Analysis, eds. M. Kashiwara and T. Kawai,
Academic, Boston 1989, 129-139 299
VARIETY OF SOLUTIONS I — QUANTIZATION 313
A. A. Belavin, Dynamical Symmetry of Integrable
Quantum Systems , Nucl. Phys. B180 [FS2]
(1981) 189-200 314
J. H. H. Perk and C. L. Schultz, Families of Commuting
Transfer Matrices in g-State Vertex Models , in
Non-linear Integrable Systems — Classical Theory and
Quantum Theory, eds. M. Jimbo and T. Miwa,
World ScientiBc, Singapore 1983, 135-152 326
V. V. Bazhanov, Integrable Quantum Systems
and Classical Lie Algebras , Comtn. Math. Phys. 113
(1987) 471-503 344
M. Jimbo, Quantum iE-Matrix for the Generalized Toda
System , Comm. Math. Phys. 102 (1986) 537-547 377
VARIETY OF SOLUTIONS II —
IRF MODELS AND OTHERS 391
R. J. Baxter, Eight-Vertex Model in Lattice Statistics and
One-Dimensional Anisotropic Heisenberg Chain I, II, III ,
Ann. Phys. 76 (1973) 1-24, 25-47, 48-71 392
^ ^^^ ix
M. Jimbo, T. Miwa and M. Okado, Solvable Lattice
Models Related to the Vector Representation of
Classical Simple Lie Algebras , Comm. Math. Phys. 116
(1988) 507-525 463
V. Pasquier, Etiology of IRF Models , Comm.
Math. Phys. 118 (1988) 335-364 482
V. A. Fateev and A. B. Zamolodchikov, Self-Dual
Solutions of the Star-Triangle Relations in Zjy Models ,
Phys. Lett. A92 (1982) 37-39 492
MISCELLANEOUS TOPICS 497
P. P. Kulish, N. Yu. Reshetikhin and E. K. Sklyanin,
Yang-Baxter Equation and Representation Theory I ,
Lett. Math. Phys. 5 (1981) 393-403 498
E. Date, M. Jimbo, A. Kuniba, T. Miwa and M. Okado,
Exactly Solvable SOS Models. II: Proof of the
Star-Triangle Relation and Combinatorial Identities*,
Adv. Stud. Pure Math. 16 (1988) 17-122. (pp. 17-48
to be included here) 509
I. V. Cherednik, On Quantum Deformations of
Irreducible Finite-Dimensional Representations of flt^ ,
Soviet Math. Doklady S3 (1986) 507-510 615
N. Yu. Reshetikhin and P. Wiegmann, Towards the
Classification of Completely Integrable Quantum Field
Theories (the Bethe-Ansatz Associated with Dynkin
Diagrams and Their Automorphisms) , Phys. Lett B189
(1987) 125-131 619
GENERALIZATIONS 629
A. B. Zamolodchikov, Tetrahedron Equations and the
Relativistic S-Matrix of Straight Strings in 2 + 1
Dimensions , Comm. Math. Phys. 79 (1981) 489-505 630
R. J. Baxter, On Zamolodchikov s Solution of the
Tetrahedron Equations , Comm. Math. Phys. 88
(1983) 185-205 647
R. J. Baxter, J. H. H. Perk and H. Au-Yang, New
Solutions of the Star-Triangle Relations for the Chiral
Potts Model , Phys. Lett. A128 (1988) 138-142 668
X
V. V. Bazhanov and Yu. G. Stroganov, Chiral Potts
Model as a Descendant of the Six-Vertex Model ,
preprint 1989 673
LIST OF REFERENCES 699
|
| any_adam_object | 1 |
| author2 | Jinbo, Michio |
| author2_role | edt |
| author2_variant | m j mj |
| author_facet | Jinbo, Michio |
| building | Verbundindex |
| bvnumber | BV024367376 |
| ctrlnum | (OCoLC)255997387 (DE-599)BVBBV024367376 |
| dewey-full | 530.143 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.143 |
| dewey-search | 530.143 |
| dewey-sort | 3530.143 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01326nam a22003491cb4500</leader><controlfield tag="001">BV024367376</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20090910 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">901212s1989 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)255997387</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV024367376</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.143</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">81-06</subfield><subfield code="2">msc</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Yang Baxter equation in integrable systems</subfield><subfield code="c">ed.: Michio Jimbo</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore <<[u.a.]>></subfield><subfield code="b">World Scientific</subfield><subfield code="c">1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 715 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Advanced series in mathematical physics</subfield><subfield code="v">10</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Yang-Baxter-Gleichung</subfield><subfield code="0">(DE-588)4291478-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4143413-4</subfield><subfield code="a">Aufsatzsammlung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Yang-Baxter-Gleichung</subfield><subfield code="0">(DE-588)4291478-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jinbo, Michio</subfield><subfield code="4">edt</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Advanced series in mathematical physics</subfield><subfield code="v">10</subfield><subfield code="w">(DE-604)BV000900258</subfield><subfield code="9">10</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018348207&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-018348207</subfield></datafield></record></collection> |
| genre | (DE-588)4143413-4 Aufsatzsammlung gnd-content |
| genre_facet | Aufsatzsammlung |
| id | DE-604.BV024367376 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:58:08Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018348207 |
| oclc_num | 255997387 |
| open_access_boolean | |
| owner | DE-83 DE-188 |
| owner_facet | DE-83 DE-188 |
| physical | X, 715 S. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | World Scientific |
| record_format | marc |
| series | Advanced series in mathematical physics |
| series2 | Advanced series in mathematical physics |
| spelling | Yang Baxter equation in integrable systems ed.: Michio Jimbo Singapore <<[u.a.]>> World Scientific 1989 X, 715 S. txt rdacontent n rdamedia nc rdacarrier Advanced series in mathematical physics 10 Yang-Baxter-Gleichung (DE-588)4291478-4 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Yang-Baxter-Gleichung (DE-588)4291478-4 s DE-604 Jinbo, Michio edt Advanced series in mathematical physics 10 (DE-604)BV000900258 10 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018348207&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yang Baxter equation in integrable systems Advanced series in mathematical physics Yang-Baxter-Gleichung (DE-588)4291478-4 gnd |
| subject_GND | (DE-588)4291478-4 (DE-588)4143413-4 |
| title | Yang Baxter equation in integrable systems |
| title_auth | Yang Baxter equation in integrable systems |
| title_exact_search | Yang Baxter equation in integrable systems |
| title_full | Yang Baxter equation in integrable systems ed.: Michio Jimbo |
| title_fullStr | Yang Baxter equation in integrable systems ed.: Michio Jimbo |
| title_full_unstemmed | Yang Baxter equation in integrable systems ed.: Michio Jimbo |
| title_short | Yang Baxter equation in integrable systems |
| title_sort | yang baxter equation in integrable systems |
| topic | Yang-Baxter-Gleichung (DE-588)4291478-4 gnd |
| topic_facet | Yang-Baxter-Gleichung Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018348207&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000900258 |
| work_keys_str_mv | AT jinbomichio yangbaxterequationinintegrablesystems |