Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N
We revisit the free field construction of the deformed -algebra by Frenkel and Reshetikhin [Comm. Math. Phys. 197 (1998), 1-32], where the basic -current has been identified. Herein, we establish a free field construction of higher -currents of the deformed -algebra associated with the twisted affin...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2022 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211716 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N. Takeo Kojima. SIGMA 18 (2022), 072, 36 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862583077381865472 |
|---|---|
| author | Kojima, Takeo |
| author_facet | Kojima, Takeo |
| citation_txt | Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N. Takeo Kojima. SIGMA 18 (2022), 072, 36 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We revisit the free field construction of the deformed -algebra by Frenkel and Reshetikhin [Comm. Math. Phys. 197 (1998), 1-32], where the basic -current has been identified. Herein, we establish a free field construction of higher -currents of the deformed -algebra associated with the twisted affine Lie algebra ⁽²⁾₂N. We obtain a closed set of quadratic relations and duality, which allows us to define the deformed -algebra ₓ,ᵣ(⁽²⁾₂N) using generators and relations.
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| first_indexed | 2026-03-13T18:18:02Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211716 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T18:18:02Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kojima, Takeo 2026-01-09T12:41:40Z 2022 Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N. Takeo Kojima. SIGMA 18 (2022), 072, 36 pages 1815-0659 2020 Mathematics Subject Classification: 81R10; 81R12; 81R50; 81T40; 81U15 arXiv:2108.13883 https://nasplib.isofts.kiev.ua/handle/123456789/211716 https://doi.org/10.3842/SIGMA.2022.072 We revisit the free field construction of the deformed -algebra by Frenkel and Reshetikhin [Comm. Math. Phys. 197 (1998), 1-32], where the basic -current has been identified. Herein, we establish a free field construction of higher -currents of the deformed -algebra associated with the twisted affine Lie algebra ⁽²⁾₂N. We obtain a closed set of quadratic relations and duality, which allows us to define the deformed -algebra ₓ,ᵣ(⁽²⁾₂N) using generators and relations. The author would like to thank Professor Michio Jimbo for his kind and courteous advice. The author would like to thank the referees for their careful reading of the paper and their helpful comments. The author would like to thank Editage (www.editage.com) for English language editing. This work was supported by JSPS KAKENHI (Grant Number JP19K03509). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N Article published earlier |
| spellingShingle | Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N Kojima, Takeo |
| title | Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N |
| title_full | Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N |
| title_fullStr | Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N |
| title_full_unstemmed | Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N |
| title_short | Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N |
| title_sort | quadratic relations of the deformed -algebra for the twisted affine lie algebra of type ⁽²⁾₂n |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211716 |
| work_keys_str_mv | AT kojimatakeo quadraticrelationsofthedeformedalgebraforthetwistedaffineliealgebraoftype22n |