Arnaudon, Daniel; Chakrabarti, Amithaba; Dobrev, Vladimir K.; Mihov, Stephen G. Exotic bialgebra \(S03\): representations, Baxterisation and applications. (English) Zbl 1228.16035 Ann. Henri Poincaré 7, No. 7-8, 1351-1373 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 16T20 81R12 16T05 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Ann. Henri Poincaré 7, No. 7--8, 1351--1373 (2006; Zbl 1228.16035) Full Text: DOI arXiv
Arnaudon, Daniel; Avan, Jean; Frappat, Luc; Ragoucy, Eric; Shiraishi, Junichi Sugawara and vertex operator constructions for deformed Virasoro algebras. (English) Zbl 1227.17014 Ann. Henri Poincaré 7, No. 7-8, 1327-1349 (2006). MSC: 17B69 17B68 81R50 17B37 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Ann. Henri Poincaré 7, No. 7--8, 1327--1349 (2006; Zbl 1227.17014) Full Text: DOI arXiv
Arnaudon, Daniel; Molev, Alexander; Ragoucy, Eric On the \(R\)-matrix realization of Yangians and their representations. (English) Zbl 1227.17008 Ann. Henri Poincaré 7, No. 7-8, 1269-1325 (2006). MSC: 17B37 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Ann. Henri Poincaré 7, No. 7--8, 1269--1325 (2006; Zbl 1227.17008) Full Text: DOI arXiv
Arnaudon, Daniel; Crampé, N.; Doikou, Anastasia; Frappat, Luc; Ragoucy, Eric Spectrum and Bethe ansatz equations for the \(U_q(\text{gl}(N))\) closed and open spin chains in any representation. (English) Zbl 1115.82005 Ann. Henri Poincaré 7, No. 7-8, 1217-1268 (2006). Reviewer: Utkir Rozikov (Tashkent) MSC: 82B20 82B23 17B37 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Ann. Henri Poincaré 7, No. 7--8, 1217--1268 (2006; Zbl 1115.82005) Full Text: DOI arXiv
Arnaudon, D.; Crampé, N.; Doikou, A.; Frappat, L.; Ragoucy, É. Analytical Bethe ansatz for closed and open \(\text{gl}(\mathcal{N})\)-spin chains in any representation. (English) Zbl 1459.82026 J. Stat. Mech. Theory Exp. 2005, No. 2, Article ID P02007, 28 p. (2005). MSC: 82B20 82B23 17B37 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., J. Stat. Mech. Theory Exp. 2005, No. 2, Article ID P02007, 28 p. (2005; Zbl 1459.82026) Full Text: DOI arXiv
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. Exotic bialgebras: non-deformation quantum groups. (English) Zbl 1229.16027 Doebner, H.-D.(ed.) et al., Lie theory and its applications in physics V. Proceedings of the 5th international workshop, Varna, Bulgaria, June 16–22, 2003. Hackensack, NJ: World Scientific (ISBN 981-238-936-9). 392-402 (2005). MSC: 16T25 17B37 58B32 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., in: Lie theory and its applications in physics V. Proceedings of the 5th international workshop, Varna, Bulgaria, June 16--22, 2003. Hackensack, NJ: World Scientific. 392--402 (2005; Zbl 1229.16027) Full Text: DOI arXiv
Sakamoto, Reiho; Shiraishi, Jun’ichi; Arnaudon, Daniel; Frappat, Luc; Ragoucy, Eric Correspondence between conformal field theory and Calogero-Sutherland model. (English) Zbl 1119.81388 Nucl. Phys., B 704, No. 3, 490-509 (2005). MSC: 81T40 81R12 81R10 PDFBibTeX XMLCite \textit{R. Sakamoto} et al., Nucl. Phys., B 704, No. 3, 490--509 (2005; Zbl 1119.81388) Full Text: DOI arXiv
Arnaudon, D.; Sedrakyan, A.; Sedrakyan, T. Integrable \(N\)-leg ladder models. (English) Zbl 1080.82526 Int. J. Mod. Phys. A 19, Suppl. May, 16-33 (2004). MSC: 82B23 81R12 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Int. J. Mod. Phys. A 19, 16--33 (2004; Zbl 1080.82526) Full Text: DOI
Arnaudon, D.; Avan, J.; Crampé, N.; Frappat, L.; Ragoucy, E. \(R\)-matrix presentation for super-Yangians \(Y(\text{osp}(m|2n))\). (English) Zbl 1061.17014 J. Math. Phys. 44, No. 1, 302-308 (2003). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., J. Math. Phys. 44, No. 1, 302--308 (2003; Zbl 1061.17014) Full Text: DOI arXiv
Arnaudon, D.; Crampé, N.; Frappat, L.; Ragoucy, E. Super Yangian \(Y(osp(1| 2))\) and the universal \(R\)-matrix of its quantum double. (English) Zbl 1078.17006 Commun. Math. Phys. 240, No. 1-2, 31-51 (2003). MSC: 17B37 81R12 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Commun. Math. Phys. 240, No. 1--2, 31--51 (2003; Zbl 1078.17006) Full Text: DOI arXiv
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. Spectral decomposition and Baxterization of exotic bialgebras and associated noncommutative geometries. (English) Zbl 1039.81032 Int. J. Mod. Phys. A 18, No. 23, 4201-4213 (2003). Reviewer: Valentina Golubeva (Moskva) MSC: 81R60 16W30 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Int. J. Mod. Phys. A 18, No. 23, 4201--4213 (2003; Zbl 1039.81032) Full Text: DOI arXiv
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. Duality and representations for new exotic bialgebras. (English) Zbl 1060.81041 J. Math. Phys. 43, No. 12, 6238-6264 (2002). MSC: 81R50 16W30 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., J. Math. Phys. 43, No. 12, 6238--6264 (2002; Zbl 1060.81041) Full Text: DOI arXiv
Arnaudon, D. RTT presentation of ortho-symplectic super Yangians. Staggered integrable spin chains. (English) Zbl 1050.81033 Czech. J. Phys. 52, No. 11, 1165-1170 (2002). MSC: 81R50 81R12 17B37 PDFBibTeX XMLCite \textit{D. Arnaudon}, Czech. J. Phys. 52, No. 11, 1165--1170 (2002; Zbl 1050.81033) Full Text: DOI
Arnaudon, D.; Sedrakyan, A.; Sedrakyan, T.; Sorba, P. Staggered integrable models and generalization of the \(U_Q(GL(N))\) algebra. (English) Zbl 1048.81034 Gurzadyan, V. G. (ed.) et al., From integrable models to gauge theories. A volume in honor of Sergei Matinyan. Including papers from the international workshop, Nor-Amberd, Armenia, September 2001. Singapore: World Scientific (ISBN 981-02-4927-6). 15-29 (2002). MSC: 81R50 17B37 81R60 81R15 81T70 81R05 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., in: From integrable models to gauge theories. A volume in honor of Sergei Matinyan. Including papers from the international workshop, Nor-Amberd, Armenia, September 2001. Singapore: World Scientific. 15--29 (2002; Zbl 1048.81034)
Arnaudon, Daniel; Avan, Jean; Frappat, Luc; Ragoucy, Eric Deformed double Yangians and quasi-Hopf algebras. (English) Zbl 1010.17010 Halbout, Gilles (ed.), Deformation quantization. Proceedings of the meeting of theoretical physicists and mathematicians, Strasbourg, France, May 31-June 2, 2001. Berlin: de Gruyter. IRMA Lect. Math. Theor. Phys. 1, 85-106 (2002). Reviewer: Volodymyr Mazorchuk (Kyïv) MSC: 17B37 81R50 16W30 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., IRMA Lect. Math. Theor. Phys. 1, 85--106 (2002; Zbl 1010.17010)
Arnaudon, D.; Avan, J.; Frappat, L.; Ragoucy, E. Yangian and quantum universal solutions of Gervais-Neveu-Felder equations. (English) Zbl 1029.17013 Commun. Math. Phys. 226, No. 1, 183-203 (2002). Reviewer: Ahmed Hegazi (Mansoura) MSC: 17B37 81Q50 16W30 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Commun. Math. Phys. 226, No. 1, 183--203 (2002; Zbl 1029.17013) Full Text: DOI arXiv
Arnaudon, D.; Frappat, L.; Ragoucy, E.; Avan, J.; Rossi, M. Yangians, quantum groups and solutions of the quantum dynamical Yang-Baxter equation. (English) Zbl 1052.81538 Czech. J. Phys. 51, No. 12, 1254-1259 (2001). MSC: 81R50 17B37 82B23 16W30 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Czech. J. Phys. 51, No. 12, 1254--1259 (2001; Zbl 1052.81538) Full Text: DOI
Arnaudon, D.; Sedrakyan, A.; Sedrakyan, T.; Sorba, P. Generalization of the \(\mathcal U_ q(\text{gl}(N))\) algebra and staggered models. (English) Zbl 1067.81069 Lett. Math. Phys. 58, No. 3, 209-222 (2001). MSC: 81R50 17B37 81R12 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Lett. Math. Phys. 58, No. 3, 209--222 (2001; Zbl 1067.81069) Full Text: DOI arXiv
Aneva, B. L.; Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. On combined standard-nonstandard or hybrid \((q,h)\)-deformations. (English) Zbl 1013.81027 J. Math. Phys. 42, No. 3, 1236-1249 (2001). MSC: 81R50 17B37 PDFBibTeX XMLCite \textit{B. L. Aneva} et al., J. Math. Phys. 42, No. 3, 1236--1249 (2001; Zbl 1013.81027) Full Text: DOI arXiv
Arnaudon, D.; Chakrabarti, A.; Dobrev, V. K.; Mihov, S. G. Duality for exotic bialgebras. (English) Zbl 1129.81325 J. Phys. A, Math. Gen. 34, No. 19, 4065-4082 (2001). MSC: 81R50 16W30 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., J. Phys. A, Math. Gen. 34, No. 19, 4065--4082 (2001; Zbl 1129.81325) Full Text: DOI arXiv
Arnaudon, D. Elliptic algebras and double Yangians: Deformed structures. (English) Zbl 1006.17017 Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11-14, 1999. Singapore: World Scientific. 253-267 (2000). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon}, in: Lie theory and its applications in physics III. Proceedings of the 3rd international workshop, Technical University of Clausthal, Clausthal, Germany, July 11--14, 1999. Singapore: World Scientific. 253--267 (2000; Zbl 1006.17017)
Arnaudon, D.; Frappat, L.; Ragoucy, É.; Avan, J.; Rossi, M. On elliptic algebras and double Yangians. (English) Zbl 0981.17009 Czech. J. Phys. 50, No. 1, 5-10 (2000). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Czech. J. Phys. 50, No. 1, 5--10 (2000; Zbl 0981.17009) Full Text: DOI
Arnaudon, D.; Frappat, L.; Avan, J.; Rossi, M. Deformed double Yangian structures. (English) Zbl 0976.17007 Rev. Math. Phys. 12, No. 7, 945-963 (2000). Reviewer: Earl J.Taft (New Brunswick) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Rev. Math. Phys. 12, No. 7, 945--963 (2000; Zbl 0976.17007) Full Text: DOI arXiv
Arnaudon, D.; Avan, J.; Frappat, L.; Ragoucy, E.; Rossi, M. Towards a cladistics of double Yangians and elliptic algebras. (English) Zbl 0958.17005 J. Phys. A, Math. Gen. 33, No. 36, 6279-6309 (2000). Reviewer: Volodymyr Mazorchuk (Bonn) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., J. Phys. A, Math. Gen. 33, No. 36, 6279--6309 (2000; Zbl 0958.17005) Full Text: DOI arXiv
Arnaudon, D.; Avan, J.; Frappat, L.; Ragoucy, É.; Rossi, M. On the quasi-Hopf structure of deformed double Yangians. (English) Zbl 1028.17009 Lett. Math. Phys. 51, No. 3, 193-204 (2000). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Lett. Math. Phys. 51, No. 3, 193--204 (2000; Zbl 1028.17009) Full Text: DOI arXiv
Arnaudon, Daniel A note on the generalized Lie algebra \(\text{sl}(2)_q\). (English) Zbl 1043.17505 J. Phys. A, Math. Gen. 31, No. 31, 6647-6652 (1998). MSC: 17B37 PDFBibTeX XMLCite \textit{D. Arnaudon}, J. Phys. A, Math. Gen. 31, No. 31, 6647--6652 (1998; Zbl 1043.17505) Full Text: DOI arXiv
Arnaudon, D.; Buffenoir, E.; Ragoucy, E.; Roche, Ph. Universal solutions of quantum dynamical Yang-Baxter equations. (English) Zbl 0973.81047 Lett. Math. Phys. 44, No. 3, 201-214 (1998). MSC: 81R50 82B23 17B81 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., Lett. Math. Phys. 44, No. 3, 201--214 (1998; Zbl 0973.81047) Full Text: DOI arXiv
Abdesselam, B.; Arnaudon, D.; Bauer, M. Centre and representations of \({\mathcal U}_q(\text{sl}(2|1))\) at roots of unity. (English) Zbl 0992.17009 J. Phys. A, Math. Gen. 30, No. 3, 867-880 (1997). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{B. Abdesselam} et al., J. Phys. A, Math. Gen. 30, No. 3, 867--880 (1997; Zbl 0992.17009) Full Text: DOI arXiv
Arnaudon, D. Representations of \({\mathcal U}_q(\text{sl}(3))\) at roots of 1 (in the restricted specialisation). (English) Zbl 0942.17010 Czech. J. Phys. 47, No. 11, 1075-1082 (1997). MSC: 17B37 81R50 17B10 PDFBibTeX XMLCite \textit{D. Arnaudon}, Czech. J. Phys. 47, No. 11, 1075--1082 (1997; Zbl 0942.17010) Full Text: DOI
Arnaudon, D. Non-integrable representations of the restricted quantum analogue of \(sl(3)\). (English) Zbl 0929.17020 J. Phys. A, Math. Gen. 30, No. 10, 3527-3541 (1997). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon}, J. Phys. A, Math. Gen. 30, No. 10, 3527--3541 (1997; Zbl 0929.17020) Full Text: DOI arXiv
Arnaudon, D.; Bauer, M. Scasimir operator, scentre and representations of \({\mathcal U}_q(\text{osp}(1 |2))\). (English) Zbl 0936.17012 Lett. Math. Phys. 40, No. 4, 307-320 (1997). MSC: 17B37 81R50 17A70 PDFBibTeX XMLCite \textit{D. Arnaudon} and \textit{M. Bauer}, Lett. Math. Phys. 40, No. 4, 307--320 (1997; Zbl 0936.17012) Full Text: DOI arXiv
Arnaudon, D.; Bauer, M. Centre and representations of small quantum superalgebras at roots of unity. (English) Zbl 1019.17500 Czech. J. Phys. 46, No. 12, 1121-1129 (1996). MSC: 17B37 81R50 17B70 PDFBibTeX XMLCite \textit{D. Arnaudon} and \textit{M. Bauer}, Czech. J. Phys. 46, No. 12, 1121--1129 (1996; Zbl 1019.17500) Full Text: DOI
Abdesselam, B.; Arnaudon, D.; Chakrabarti, A. Representations of \({\mathcal U}_ q(sl(N))\) at roots of unity. (English) Zbl 0864.17016 J. Phys. A, Math. Gen. 28, No. 19, 5495-5507 (1995). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{B. Abdesselam} et al., J. Phys. A, Math. Gen. 28, No. 19, 5495--5507 (1995; Zbl 0864.17016) Full Text: DOI arXiv Backlinks: MO
Abdesselam, B.; Arnaudon, D.; Chakrabarti, A. Representations of \(U_ q(SO(5))\) and non-minimal \(q\)-deformation. (English) Zbl 0860.17023 J. Phys. A, Math. Gen. 28, No. 13, 3701-3708 (1995). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{B. Abdesselam} et al., J. Phys. A, Math. Gen. 28, No. 13, 3701--3708 (1995; Zbl 0860.17023) Full Text: DOI arXiv
Arnaudon, Daniel; Chryssomalakos, Chryssomalis; Frappat, Luc Classical and quantum \(sl(1| 2)\) superalgebras, Casimir operators and quantum chain Hamiltonians. (English) Zbl 0856.17006 J. Math. Phys. 36, No. 10, 5262-5283 (1995). MSC: 17B37 16W30 81R50 82B20 PDFBibTeX XMLCite \textit{D. Arnaudon} et al., J. Math. Phys. 36, No. 10, 5262--5283 (1995; Zbl 0856.17006) Full Text: DOI arXiv
Arnaudon, Daniel On automorphisms and universal \(\mathcal{R}\)-matrices at roots of unity. (English) Zbl 0844.17003 Lett. Math. Phys. 33, No. 1, 39-47 (1995). MSC: 17B37 16W30 PDFBibTeX XMLCite \textit{D. Arnaudon}, Lett. Math. Phys. 33, No. 1, 39--47 (1995; Zbl 0844.17003) Full Text: DOI arXiv
Arnaudon, Daniel; Bauer, Michel Polynomial relations in the centre of \({\mathcal U}_ q(\text{sl}(N))\). (English) Zbl 0789.17006 Lett. Math. Phys. 30, No. 3, 251-257 (1994). MSC: 17B37 16W30 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon} and \textit{M. Bauer}, Lett. Math. Phys. 30, No. 3, 251--257 (1994; Zbl 0789.17006) Full Text: DOI arXiv
Arnaudon, Daniel Composition of kinetic momenta: The \({\mathcal U}_ q(sl(2))\) case. (English) Zbl 0801.17010 Commun. Math. Phys. 159, No. 1, 175-193 (1994). Reviewer: Ma Zhong-Qi (Beijing) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon}, Commun. Math. Phys. 159, No. 1, 175--193 (1994; Zbl 0801.17010) Full Text: DOI arXiv
Alcaraz, F. C.; Arnaudon, D.; Rittenberg, V.; Scheunert, M. Finite chains with quantum affine symmetries. (English) Zbl 1063.82514 Int. J. Mod. Phys. A 9, No. 19, 3473-3496 (1994). MSC: 82B20 17B37 81R50 82B23 PDFBibTeX XMLCite \textit{F. C. Alcaraz} et al., Int. J. Mod. Phys. A 9, No. 19, 3473--3496 (1994; Zbl 1063.82514) Full Text: DOI arXiv
Arnaudon, Daniel On periodic representations of quantum groups. (English) Zbl 0796.17007 Int. J. Mod. Phys. B 6, No. 11-12, 1873-1880 (1992). MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon}, Int. J. Mod. Phys. B 6, No. 11--12, 1873--1880 (1992; Zbl 0796.17007) Full Text: DOI
Arnaudon, Daniel On periodic representations of quantum groups. (English) Zbl 1103.17301 Mickelsson, Jouko (ed.) et al., Topological and geometrical methods in field theory. Proceedings of the 2nd international symposium, Turku, Finland, May 26–June 1, 1991. Singapore: World Scientific (ISBN 981-02-0961-4). 13-21 (1992). Reviewer: Olaf Ninnemann (Berlin) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon}, in: Topological and geometrical methods in field theory. Proceedings of the 2nd international symposium, Turku, Finland, May 26--June 1, 1991. Singapore: World Scientific. 13--21 (1992; Zbl 1103.17301)
Arnaudon, D.; Chakrabarti, A. Flat periodic representations of \({\mathcal U}_ q({\mathcal G})\). (English) Zbl 0751.17007 Commun. Math. Phys. 139, No. 3, 605-617 (1991). Reviewer: N.Andruskiewitsch (Bonn) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon} and \textit{A. Chakrabarti}, Commun. Math. Phys. 139, No. 3, 605--617 (1991; Zbl 0751.17007) Full Text: DOI
Arnaudon, D.; Chakrabarti, A. Periodic and partially periodic representations of \(\text{SU}(N)_ q\). (English) Zbl 0751.17006 Commun. Math. Phys. 139, No. 3, 461-478 (1991). Reviewer: N.Andruskiewitsch (Bonn) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon} and \textit{A. Chakrabarti}, Commun. Math. Phys. 139, No. 3, 461--478 (1991; Zbl 0751.17006) Full Text: DOI
Arnaudon, D. Periodic and flat irreducible representations of \(SU(3)_ q\). (English) Zbl 0718.17015 Commun. Math. Phys. 134, No. 3, 523-537 (1990). Reviewer: Li Wanglai (New Brunswick) MSC: 17B37 81R50 PDFBibTeX XMLCite \textit{D. Arnaudon}, Commun. Math. Phys. 134, No. 3, 523--537 (1990; Zbl 0718.17015) Full Text: DOI
Roche, P.; Arnaudon, D. Irreducible representations of the quantum analogue of SU(2). (English) Zbl 0694.17005 Lett. Math. Phys. 17, No. 4, 295-300 (1989). Reviewer: D.Leites MSC: 17B35 17B45 16W30 81Q99 17B10 PDFBibTeX XMLCite \textit{P. Roche} and \textit{D. Arnaudon}, Lett. Math. Phys. 17, No. 4, 295--300 (1989; Zbl 0694.17005) Full Text: DOI arXiv