Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Rinat Kedem"'
Autor:
Philippe Di Francesco, Rinat Kedem
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 014 (2010)
In the first part of this paper, we provide a concise review of our method of solution of the A_r Q-systems in terms of the partition function of paths on a weighted graph. In the second part, we show that it is possible to modify the graphs and tran
Externí odkaz:
https://doaj.org/article/2bcf08ba4acd4bd9a9b7201221b1188a
Autor:
Philippe Di Francesco, Rinat Kedem
Publikováno v:
Communications in Mathematical Physics. 369:867-928
We introduce the natural (t, q)-deformation of the Q-system algebra in type A. The q-Whittaker limit $$t\rightarrow \infty $$ gives the quantum Q-system algebra of Di Francesco and Kedem (Lett Math Phys 107(2):301–341, [DFK17]), a deformation of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c271e2e4ff2601ff082bf2c171b1afb4
https://doi.org/10.1007/s00220-019-03472-x
https://doi.org/10.1007/s00220-019-03472-x
Autor:
Philippe Di Francesco, Rinat Kedem
Publikováno v:
Communications in Mathematical Physics. 313:329-350
We solve the quantum version of the $A_1$ $T$-system by use of quantum networks. The system is interpreted as a particular set of mutations of a suitable (infinite-rank) quantum cluster algebra, and Laurent positivity follows from our solution. As an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e429eebca90dccc317c5150cb56f0481
https://doi.org/10.1007/s00220-012-1488-x
https://doi.org/10.1007/s00220-012-1488-x
Autor:
P. Di Francesco, Rinat Kedem
Publikováno v:
Transformation Groups
Transformation Groups, 2018, 23, pp.391-424. ⟨10.1007/s00031-018-9480-y⟩
Transformation Groups, 2018, 23, pp.391-424. ⟨10.1007/s00031-018-9480-y⟩
We introduce a new set of $q$-difference operators acting as raising operators on a family of symmetric polynomials which are characters of graded tensor products of current algebra ${\mathfrak g}[u]$ KR-modules \cite{FL} for ${\mathfrak g}=A_r$. The
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b39f26a7d1bce4d7fa71db03aeda0daf
Publikováno v:
Communications in Mathematical Physics. 264:427-464
This paper contains the generalization of the Feigin-Stoyanovsky construction to all integrable Open image in new window -modules. We give formulas for the q-characters of any highest-weight integrable module of Open image in new window as a linear c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b52194d5fccc84e8a04b95c92bc5d827
https://doi.org/10.1007/s00220-005-1486-3
https://doi.org/10.1007/s00220-005-1486-3
Publikováno v:
Journal of Physics A: Mathematical and General. 38:9183-9205
Using a form factor approach, we define and compute the character of the fusion product of rectangular representations of \hat{su}(r+1). This character decomposes into a sum of characters of irreducible representations, but with q-dependent coefficie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c7c977571c46cecf3ba05cbcaa9acbd0
https://doi.org/10.1088/0305-4470/38/42/002
https://doi.org/10.1088/0305-4470/38/42/002
Publikováno v:
Journal of Algebra. 279:147-179
In this paper, we continue our study of the Hilbert polynomials of coinvariants begun in our previous work [B. Feigin et al., math.QA/0205324, 2002]. We describe the sln fusion products for symmetric tensor representations following the method of [B.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f160c858db058cb0b9c619173ce84af1
https://doi.org/10.1016/j.jalgebra.2004.03.004
https://doi.org/10.1016/j.jalgebra.2004.03.004
Publikováno v:
Selecta Mathematica. 8:419-474
The spaces of coinvariants are quotient spaces of integrable \( \widehat{\mathfrak{sl}}_2 \) modules by subspaces generated by the actions of certain subalgebras labeled by a set of points on a complex line. When all the points are distinct, the spac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0993702c75f8de559ff8067ec2ab3839
https://doi.org/10.1007/s00029-002-8112-4
https://doi.org/10.1007/s00029-002-8112-4
Publikováno v:
Compositio Mathematica. 134:193-241
We give the fermionic character formulas for the spaces of coinvariants obtained from level k integrable representations of \(\widehat{\mathfrak{s}\mathfrak{l}}_2 \). We establish the functional realization of the spaces dual to the coinvariant space
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4cfc9c9ed55739a401d588a6ae05438
https://doi.org/10.1023/a:1020594703726
https://doi.org/10.1023/a:1020594703726
In this paper we construct weighted path models to compute Whittaker vectors in the completion of Verma modules, as well as Whittaker functions of fundamental type, for all finite-dimensional simple Lie algebras, affine Lie algebras, and the quantum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3df48c67860dbf39a4a39347b10259c2
http://arxiv.org/abs/1407.8423
http://arxiv.org/abs/1407.8423