"Quantum toroidal algebra"의 두 판 사이의 차이
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imported>Pythagoras0 |
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| 1번째 줄: | 1번째 줄: | ||
==introduction== | ==introduction== | ||
| − | * | + | * parallel generator and perpendicular generator |
| + | * Miki's automorphism | ||
| + | |||
| + | |||
| + | ==expositions== | ||
| + | * Jimbo, [http://lapth.cnrs.fr/conferences/RAQIS/RAQIS12/pdfRAQIS12/jimbo.pdf Representations of quantum toroidal algebras] | ||
| 8번째 줄: | 13번째 줄: | ||
* Feigin, B., M. Jimbo, T. Miwa, and E. Mukhin. “Representations of Quantum Toroidal gl(n).” Journal of Algebra 380 (April 15, 2013): 78–108. doi:10.1016/j.jalgebra.2012.12.029. | * Feigin, B., M. Jimbo, T. Miwa, and E. Mukhin. “Representations of Quantum Toroidal gl(n).” Journal of Algebra 380 (April 15, 2013): 78–108. doi:10.1016/j.jalgebra.2012.12.029. | ||
* Hernandez, David. “Quantum Toroidal Algebras and Their Representations.” arXiv:0801.2397 [math], January 15, 2008. http://arxiv.org/abs/0801.2397. | * Hernandez, David. “Quantum Toroidal Algebras and Their Representations.” arXiv:0801.2397 [math], January 15, 2008. http://arxiv.org/abs/0801.2397. | ||
| + | * Miki, Kei. “Quantum Toroidal Algebra Uq(sl2,tor) and R Matrices.” Journal of Mathematical Physics 42, no. 5 (May 1, 2001): 2293–2308. doi:10.1063/1.1357198. | ||
* Takemura, K., and D. Uglov. “Representations of the Quantum Toroidal Algebra on Highest Weight Modules of the Quantum Affine Algebra of Type gl(N).” arXiv:math/9806134, June 24, 1998. http://arxiv.org/abs/math/9806134. | * Takemura, K., and D. Uglov. “Representations of the Quantum Toroidal Algebra on Highest Weight Modules of the Quantum Affine Algebra of Type gl(N).” arXiv:math/9806134, June 24, 1998. http://arxiv.org/abs/math/9806134. | ||
* Saito, Yoshihisa. "Quantum toroidal algebras and their vertex representations." Publications of the Research Institute for Mathematical Sciences 34.2 (1998): 155-177. | * Saito, Yoshihisa. "Quantum toroidal algebras and their vertex representations." Publications of the Research Institute for Mathematical Sciences 34.2 (1998): 155-177. | ||
2014년 8월 8일 (금) 23:07 판
introduction
- parallel generator and perpendicular generator
- Miki's automorphism
expositions
articles
- Feigin, B., M. Jimbo, T. Miwa, and E. Mukhin. “Branching Rules for Quantum Toroidal Gl(n).” arXiv:1309.2147 [math-Ph], September 9, 2013. http://arxiv.org/abs/1309.2147.
- Feigin, B., M. Jimbo, T. Miwa, and E. Mukhin. “Representations of Quantum Toroidal gl(n).” Journal of Algebra 380 (April 15, 2013): 78–108. doi:10.1016/j.jalgebra.2012.12.029.
- Hernandez, David. “Quantum Toroidal Algebras and Their Representations.” arXiv:0801.2397 [math], January 15, 2008. http://arxiv.org/abs/0801.2397.
- Miki, Kei. “Quantum Toroidal Algebra Uq(sl2,tor) and R Matrices.” Journal of Mathematical Physics 42, no. 5 (May 1, 2001): 2293–2308. doi:10.1063/1.1357198.
- Takemura, K., and D. Uglov. “Representations of the Quantum Toroidal Algebra on Highest Weight Modules of the Quantum Affine Algebra of Type gl(N).” arXiv:math/9806134, June 24, 1998. http://arxiv.org/abs/math/9806134.
- Saito, Yoshihisa. "Quantum toroidal algebras and their vertex representations." Publications of the Research Institute for Mathematical Sciences 34.2 (1998): 155-177.