Physical combinatorics:
"This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. Recent developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics. For example, Young tab...
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Boston ; Basel ; Berlin
Birkhäuser
2000
|
| Series: | Progress in mathematics
191 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | "This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. Recent developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics. For example, Young tableaux, which describe the basis of irreducible representations, appear in the Bethe Ansatz method in quantum spin chains as labels for the eigenstates of Hamiltonians." "Taking into account the various criss-crossing among mathematical subjects, Physical Combinatorics presents new results and exciting ideas from three viewpoints: representation theory, integrable models, and combinatorics." "This volume will be of interest to mathematical physicists and graduate students in the above-mentioned fields."--BOOK JACKET |
| Physical Description: | VIII, 317 S. graph. Darst. : 24 cm |
| ISBN: | 3764341750 0817641750 |
Staff View
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| 520 | |a "Taking into account the various criss-crossing among mathematical subjects, Physical Combinatorics presents new results and exciting ideas from three viewpoints: representation theory, integrable models, and combinatorics." "This volume will be of interest to mathematical physicists and graduate students in the above-mentioned fields."--BOOK JACKET | ||
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Record in the Search Index
| _version_ | 1804128073810968576 |
|---|---|
| adam_text | Contents
Preface
Masaki Kashiwara and Tetsuji Miwa ix
An Insertion Scheme for C,, Crystals
T. H. Baker 1
On the Combinatorics of Forrester Baxter Models
Omar Foda and Trevor A. Welsh 49
Combinatorial R Matrices for a Family of Crystals: C, ,1 and A(£l_x Cases
Goro Hatayama, Atsuo Kuniba, Masato Okado, and Taichiro Takagi 105
Theta Functions Associated with Affine Root Systems and the Elliptic
Ruijsenaars Operators
Yasushi Komori 141
A Generalization of the g Saalschiitz Sum and the Burge Transform
Anne Schilling and S. Ole Warnaar 163
The Bethe Equation at q = 0, the Mobius Inversion Formula,
and Weight Multiplicities I: The sl(2) Case
Atsuo Kuniba and Tomoki Nakanishi 185
Hidden £ Type Structures in Dilute A Models
J. Suzuki 217
viii Contents
Canonical Bases of Higher Level ? Deformed Fock Spaces
and Kazhdan Lusztig Polynomials
Denis Uglov 249
Finite Gap Difference Operators with Elliptic Coefficients
and Their Spectral Curves
A. Zabrodin 301
|
| any_adam_object | 1 |
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| bvnumber | BV013304362 |
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| ctrlnum | (OCoLC)43859489 (DE-599)BVBBV013304362 |
| dewey-full | 511/.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.6 |
| dewey-search | 511/.6 |
| dewey-sort | 3511 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | (DE-588)1071861417 Konferenzschrift 1999 Kioto gnd-content |
| genre_facet | Konferenzschrift 1999 Kioto |
| id | DE-604.BV013304362 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:43:27Z |
| institution | BVB |
| isbn | 3764341750 0817641750 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009070817 |
| oclc_num | 43859489 |
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| owner | DE-384 DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-384 DE-355 DE-BY-UBR DE-11 |
| physical | VIII, 317 S. graph. Darst. : 24 cm |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in mathematics |
| series2 | Progress in mathematics Literaturangaben |
| spelling | Physical combinatorics Masaki Kashiwara ... ed. Boston ; Basel ; Berlin Birkhäuser 2000 VIII, 317 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 191 Literaturangaben "This work is concerned with combinatorial aspects arising in the theory of exactly solvable models and representation theory. Recent developments in integrable models reveal an unexpected link between representation theory and statistical mechanics through combinatorics. For example, Young tableaux, which describe the basis of irreducible representations, appear in the Bethe Ansatz method in quantum spin chains as labels for the eigenstates of Hamiltonians." "Taking into account the various criss-crossing among mathematical subjects, Physical Combinatorics presents new results and exciting ideas from three viewpoints: representation theory, integrable models, and combinatorics." "This volume will be of interest to mathematical physicists and graduate students in the above-mentioned fields."--BOOK JACKET Combinatorial analysis Congresses Integral equations Congresses Representations of algebras Congresses Algebra (DE-588)4001156-2 gnd rswk-swf Exakte Lösung (DE-588)4348289-2 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Integrables System (DE-588)4114032-1 gnd rswk-swf Kombinatorik (DE-588)4031824-2 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 1999 Kioto gnd-content Algebra (DE-588)4001156-2 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Integrables System (DE-588)4114032-1 s Exakte Lösung (DE-588)4348289-2 s Kombinatorik (DE-588)4031824-2 s 1\p DE-604 Kashiwara, Masaki 1947- Sonstige (DE-588)122204344 oth Progress in mathematics 191 (DE-604)BV000004120 191 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009070817&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Physical combinatorics Progress in mathematics Combinatorial analysis Congresses Integral equations Congresses Representations of algebras Congresses Algebra (DE-588)4001156-2 gnd Exakte Lösung (DE-588)4348289-2 gnd Darstellungstheorie (DE-588)4148816-7 gnd Integrables System (DE-588)4114032-1 gnd Kombinatorik (DE-588)4031824-2 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4348289-2 (DE-588)4148816-7 (DE-588)4114032-1 (DE-588)4031824-2 (DE-588)1071861417 |
| title | Physical combinatorics |
| title_auth | Physical combinatorics |
| title_exact_search | Physical combinatorics |
| title_full | Physical combinatorics Masaki Kashiwara ... ed. |
| title_fullStr | Physical combinatorics Masaki Kashiwara ... ed. |
| title_full_unstemmed | Physical combinatorics Masaki Kashiwara ... ed. |
| title_short | Physical combinatorics |
| title_sort | physical combinatorics |
| topic | Combinatorial analysis Congresses Integral equations Congresses Representations of algebras Congresses Algebra (DE-588)4001156-2 gnd Exakte Lösung (DE-588)4348289-2 gnd Darstellungstheorie (DE-588)4148816-7 gnd Integrables System (DE-588)4114032-1 gnd Kombinatorik (DE-588)4031824-2 gnd |
| topic_facet | Combinatorial analysis Congresses Integral equations Congresses Representations of algebras Congresses Algebra Exakte Lösung Darstellungstheorie Integrables System Kombinatorik Konferenzschrift 1999 Kioto |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009070817&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000004120 |
| work_keys_str_mv | AT kashiwaramasaki physicalcombinatorics |