Zobrazeno 1 - 10
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pro vyhledávání: '"Uglov, D."'
Autor:
Takemura, K., Uglov, D.
A representation of the Quantum Toroidal Algebra of type sl(N) is constructed on every irreducible integrable highest weight module of the Quantum Affine Algebra of type gl(N). As an intermediate step in the construction, we obtain a quantum analogue
Externí odkaz:
http://arxiv.org/abs/math/9806134
Recently Varagnolo and Vasserot established that the q-deformed Fock spaces due to Hayashi, and Kashiwara, Miwa and Stern, admit actions of the quantum toroidal algebra $U_q(sl_n,tor)$ (n > 2) with the level (0,1). In the present article we propose a
Externí odkaz:
http://arxiv.org/abs/q-alg/9702024
Autor:
Uglov, D., Ivanov, I.
We define an $ sl(N) $ analog of Onsager's Algebra through a finite set of relations that generalize the Dolan Grady defining relations for the original Onsager's Algebra. This infinite-dimensional Lie Algebra is shown to be isomorphic to a fixed poi
Externí odkaz:
http://arxiv.org/abs/hep-th/9502068
Autor:
Uglov, D.
The representations of the degenerate affine Hecke algebra in which the analogues of the Dunkl operators are given by finite-difference operators are introduced. The non-selfadjoint lattice analogues of the spin Calogero-Sutherland hamiltonians are a
Externí odkaz:
http://arxiv.org/abs/hep-th/9409155
Autor:
Uglov, D. B., Korepin, V. E.
Publikováno v:
Phys.Lett. A190 (1994) 238-242
We discovered new hidden symmetry of the one-dimensional Hubbard model. We showthat the one-dimensional Hubbard model on the infinite chain has the infinite-dimensional algebra of symmetries. This algebra is a direct sum of two $ sl(2) $-Yangians. Th
Externí odkaz:
http://arxiv.org/abs/hep-th/9310158
Autor:
Uglov, D. B.
Publikováno v:
Lett.Math.Phys. 31 (1994) 65-76
It is shown that the Lie algebra of the automorphic, meromorphic sl(2, C) -valued functions on a torus is a geometric realization of a certain infinite-dimensional finitely generated Lie algebra. In the trigonometric limit, when the modular parameter
Externí odkaz:
http://arxiv.org/abs/hep-th/9302138
Autor:
Uglov, D. B.
Publikováno v:
Lett.Math.Phys. 28 (1993) 139-142
The quantum bialgebra related to the Baxter's eight-vertex R-matrix is found as a quantum deformation of the Lie algebra of sl(2)-valued automorphic functions on a complex torus.
Comment: 4 pages
Comment: 4 pages
Externí odkaz:
http://arxiv.org/abs/hep-th/9302139
Autor:
Ivanov, I. T., Uglov, D. B.
Publikováno v:
Phys.Lett. A167 (1992) 459-464
R-matrices for the semicyclic representations of U_qsl^(2) are found as a limit in the checkerboard chiral Potts model.
Externí odkaz:
http://arxiv.org/abs/hep-th/9203037
Publikováno v:
PHYSICS LETTERS A. 190(2)
We consider a special correlation function in the isotropic spin-$\half$ Heisenberg antiferromagnet. It is the probability of finding a ferromagnetic string of (adjacent) spins in the antiferromagnetic ground state. We give two different representati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3476f6e9551814e9e5f3b46a3883fa0d
http://ora.ox.ac.uk/objects/uuid:1120cc54-af46-4f75-93b5-7b6d087024e7
http://ora.ox.ac.uk/objects/uuid:1120cc54-af46-4f75-93b5-7b6d087024e7
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