Zobrazeno 1 - 10
of 191
pro vyhledávání: '"Michio Jimbo"'
The present volume is the result of the international workshop on New Trends in Quantum Integrable Systems that was held in Kyoto, Japan, from 27 to 31 July 2009. As a continuation of the RIMS Research Project “Method of Algebraic Analysis in Integ
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:
Selecta Mathematica. 27
We study the uniform description of deformed $$\mathcal {W}$$ algebras of type $$\textsf {A}$$ including the supersymmetric case in terms of the quantum toroidal $${\mathfrak {g}}{\mathfrak {l}}_1$$ algebra $${{\mathcal {E}}}$$ . In particular, we re
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::45f3d9b47f8c3b5dd8fabf19f650c5b9
https://doi.org/10.1007/s00029-021-00663-0
https://doi.org/10.1007/s00029-021-00663-0
Publikováno v:
Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification ISBN: 9783030638481
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ee46cef9ba5faec04085bc8ad6823363
https://doi.org/10.1007/978-3-030-63849-8_12
https://doi.org/10.1007/978-3-030-63849-8_12
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
On a Fock space constructed from $mn$ free bosons and lattice ${\Bbb {Z}}^{mn}$, we give a level $n$ action of the quantum toroidal algebra $\mathscr {E}_m$ associated to $\mathfrak{gl}_m$, together with a level $m$ action of the quantum toroidal alg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::270502e3dad4f2bb4da750e7e23a18b5
http://arxiv.org/abs/1801.08433
http://arxiv.org/abs/1801.08433