Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Bart Vlaar"'
Publikováno v:
Letters in Mathematical Physics
We examine classes of quantum algebras emerging from involutive, non-degenerate set-theoretic solutions of the Yang-Baxter equation and their q-analogues. After providing some universal results on quasi-bialgebras and admissible Drinfeld twists we sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb077cf223fea0f08764eb81c9051540
https://doi.org/10.1007/s11005-022-01572-9
https://doi.org/10.1007/s11005-022-01572-9
Autor:
Vidas Regelskis, Bart Vlaar
Publikováno v:
Bulletin of the London Mathematical Society, Hoboken : Wiley, 2020, vol. 52, no. 4, p. 693-715
Let g be a finite-dimensional semisimple complex Lie algebra and θ an involutive automorphism of g. According to G. Letzter, S. Kolb and M. Balagović the fixed-point subalgebra k=gθ has a quantum counterpart B, a coideal subalgebra of the Drinfeld
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c7aef4fa3d24ef8fc6a63b42c3f2029
https://doi.org/10.1112/blms.12360
https://doi.org/10.1112/blms.12360
This volume contains the proceedings of the virtual conference on Hypergeometry, Integrability and Lie Theory, held from December 7–11, 2020, which was dedicated to the 50th birthday of Jasper Stokman. The papers represent recent developments in th
Autor:
Bart Vlaar, Robert Weston
We construct a Q-operator for the open XXZ Heisenberg quantum spin chain with diagonal boundary conditions and give a rigorous derivation of Baxter's TQ relation. Key roles in the theory are played by a particular infinite-dimensional solution of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e94f20531103144e14dc82963bc72ec7
http://arxiv.org/abs/2001.10760
http://arxiv.org/abs/2001.10760
Autor:
Andrea Appel, Bart Vlaar
Publikováno v:
Representation Theory
We introduce the notion of a cylindrical bialgebra, which is a quasitriangular bialgebra $H$ endowed with a universal K-matrix, i.e., a universal solution of a generalized reflection equation, yielding an action of cylindrical braid groups on tensor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3e8d606cf2e426d438a9246f1fcdcc6e
Autor:
Vidas Regelskis, Bart Vlaar
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 51:345204
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ccdee295af96cb86577c63c27fb3c4a3
https://doi.org/10.1088/1751-8121/aad026
https://doi.org/10.1088/1751-8121/aad026
Publikováno v:
Annales Henri Poincaré, 17(1), 137-177. Birkhauser Verlag Basel
Annales Henri Poincaré, 17, 137-177
Annales Henri Poincaré, 17, 1, pp. 137-177
Annales Henri Poincaré, 17, 137-177
Annales Henri Poincaré, 17, 1, pp. 137-177
In this paper we extend our previous results concerning Jackson integral solutions of the boundary quantum Knizhnik-Zamolodchikov equations with diagonal K-operators to higher-spin representations of quantum affine $\mathfrak{sl}_2$. First we give a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6246753838a75376b80464c74fc4ec28
https://dare.uva.nl/personal/pure/en/publications/boundary-quantum-knizhnikzamolodchikov-equations-and-fusion(0c2ee17c-149d-427b-be5d-5c47b5d01c00).html
https://dare.uva.nl/personal/pure/en/publications/boundary-quantum-knizhnikzamolodchikov-equations-and-fusion(0c2ee17c-149d-427b-be5d-5c47b5d01c00).html
Publikováno v:
Advances in Mathematics, 323, 486-528. Academic Press Inc.
We construct integral representations of solutions to the boundary quantum Knizhnik-Zamolodchikov equations. These are difference equations taking values in tensor products of Verma modules of quantum affine $\mathfrak{sl}_2$, with the K-operators ac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5ec30813bc132ff2b657e41df05fd84
Autor:
Bart Vlaar, Jasper V. Stokman
Publikováno v:
Journal of Approximation Theory, 197, 69-100
Journal of Approximation Theory, 197, 69-100. Academic Press Inc.
Journal of Approximation Theory, 197, SI, pp. 69-100
Journal of Approximation Theory, 197, 69-100. Academic Press Inc.
Journal of Approximation Theory, 197, SI, pp. 69-100
Nonsymmetric Koornwinder polynomials are multivariable extensions of nonsymmetric Askey-Wilson polynomials. They naturally arise in the representation theory of (double) affine Hecke algebras. In this paper we discuss how nonsymmetric Koornwinder pol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c7ecedbb517f4969cb6b1af1ee5e8579
https://doi.org/10.1016/j.jat.2014.03.003
https://doi.org/10.1016/j.jat.2014.03.003
Publikováno v:
Communications in Mathematical Physics, 336(2), 953-986. Springer New York
Communications in Mathematical Physics, 336, 953-986
Communications in Mathematical Physics, 336, 2, pp. 953-986
Communications in Mathematical Physics, 336, 953-986
Communications in Mathematical Physics, 336, 2, pp. 953-986
Solutions to boundary quantum Knizhnik-Zamolodchikov equations are constructed as bilateral sums involving "off-shell" Bethe vectors in case the reflection matrix is diagonal and only the 2-dimensional representation of $U_q(\hat{\frak{sl}(2)})$ is i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6545f9e247a821f0888c14a4624e450e
http://arxiv.org/abs/1305.1113
http://arxiv.org/abs/1305.1113