Zobrazeno 1 - 10
of 201
pro vyhledávání: '"Tetsuji Miwa"'
Autor:
Schapira, Pierre, Takahiro Kawai, Yoshitsugu Takei, Masaki Kashiwara, McCoy, Barry M., Tracy, Craig, Tetsuji Miwa, Michio Jimbo
Publikováno v:
Notices of the American Mathematical Society; May2024, Vol. 71 Issue 5, p645-653, 9p
Publikováno v:
Mathematical Surveys and Monographs ISBN: 9781470465766
American Mathematical Society, 256, pp.192, 2021, Mathematical Surveys and Monographs, 978-1-4704-6552-0. ⟨10.1090/surv/256⟩
American Mathematical Society, 256, pp.192, 2021, Mathematical Surveys and Monographs, 978-1-4704-6552-0. ⟨10.1090/surv/256⟩
International audience; ntegrable models in statistical mechanics and quantum field theory constitute a rich research field at the crossroads of modern mathematics and theoretical physics. An important issue to understand is the space of local operat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f303611a9f1163bcbab77d83063ee3be
https://doi.org/10.1090/surv/256
https://doi.org/10.1090/surv/256
Publikováno v:
Communications in Mathematical Physics. 356:285-327
We study highest weight representations of the Borel subalgebra of the quantum toroidal $${\mathfrak{gl}_1}$$ algebra with finite-dimensional weight spaces. In particular, we develop the q-character theory for such modules. We introduce and study the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::917450d9628e4765c64e789fb7266ae4
https://doi.org/10.1007/s00220-017-2984-9
https://doi.org/10.1007/s00220-017-2984-9
Publikováno v:
Letters in Mathematical Physics. 108:1779-1781
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f90cc3f3871da5e47e0fc9167c14894b
https://doi.org/10.1007/s11005-018-1058-z
https://doi.org/10.1007/s11005-018-1058-z
Publikováno v:
Advances in Mathematics. 300:229-274
We construct an analog of the subalgebra U gl ( n ) ⊗ U gl ( m ) ⊂ U gl ( m + n ) in the setting of quantum toroidal algebras and study the restrictions of various representations to this subalgebra.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::072fe02a34189a1012c9dd83d47a500b
https://doi.org/10.1016/j.aim.2016.03.019
https://doi.org/10.1016/j.aim.2016.03.019
Publikováno v:
Integrable Systems in Quantum Field Theory and Statistical Mechanics, M. Jimbo, T. Miwa and A. Tsuchiya, eds. (Tokyo: Mathematical Society of Japan, 1989)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a833f4b6de710f8a70803415a1db14f4
https://doi.org/10.2969/aspm/01910149
https://doi.org/10.2969/aspm/01910149
Autor:
Tetsuji Miwa, F. Smirnov
Publikováno v:
Letters in Mathematical Physics
Letters in Mathematical Physics, Springer Verlag, 2018
Letters in Mathematical Physics, Springer Verlag, 2018
Using the fermionic basis we obtain the expectation values of all $\slt$-invariant and $C$-invariant local operators on 10 sites for the anisotropic six-vertex model on a cylinder with generic Matsubara data. This is equivalent to the generalised Gib
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46d5c376480a6202d471d0b4cc9fd1b8
Publikováno v:
Theoretical and Mathematical Physics. 181:1169-1193
In our previous works on the XXZ chain of spin one half, we have studied the problem of constructing a basis of local operators whose members have simple vacuum expectation values. For this purpose a pair of fermionic creation operators have been int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::190aa6409b8acdc013c9166c15c638c4
https://doi.org/10.1007/s11232-014-0207-5
https://doi.org/10.1007/s11232-014-0207-5
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 181:45-72
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f83c9193be4ce57043c3993c5199c8f9
https://doi.org/10.4213/tmf8669
https://doi.org/10.4213/tmf8669
Publikováno v:
Journal of Algebra. 380:78-108
We define and study representations of quantum toroidal gl n with natural bases labeled by plane partitions with various conditions. As an application, we give an explicit description of a family of highest weight representations of quantum affine gl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::50226f365ae705b520185c424b6ace4d
https://doi.org/10.1016/j.jalgebra.2012.12.029
https://doi.org/10.1016/j.jalgebra.2012.12.029