Feigin, B.; Rybnikov, L.; Uvarov, F. Gaudin model and Deligne’s category. (English) Zbl 07790334 Lett. Math. Phys. 114, No. 1, Paper No. 3, 43 p. (2024). MSC: 17-XX 81-XX PDFBibTeX XMLCite \textit{B. Feigin} et al., Lett. Math. Phys. 114, No. 1, Paper No. 3, 43 p. (2024; Zbl 07790334) Full Text: DOI arXiv
Batistelli, Karina; Boyallian, Carina QHWM of the orthogonal and symplectic types Lie subalgebras of the Lie algebra of the matrix quantum pseudo differential operators. (English) Zbl 1462.17010 Rev. Unión Mat. Argent. 59, No. 2, 205-240 (2018). MSC: 17B10 17B66 PDFBibTeX XMLCite \textit{K. Batistelli} and \textit{C. Boyallian}, Rev. Unión Mat. Argent. 59, No. 2, 205--240 (2018; Zbl 1462.17010) Full Text: arXiv
Kac, Victor G.; van de Leur, Johan W. Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions. (English) Zbl 1401.14209 Jpn. J. Math. (3) 13, No. 2, 235-271 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14M15 17B10 17B65 17B67 20G43 22E70 35Q53 35R03 47G30 PDFBibTeX XMLCite \textit{V. G. Kac} and \textit{J. W. van de Leur}, Jpn. J. Math. (3) 13, No. 2, 235--271 (2018; Zbl 1401.14209) Full Text: DOI arXiv Link
González, María Del Mar; Sáez, Mariel Fractional Laplacians and extension problems: the higher rank case. (English) Zbl 1397.35335 Trans. Am. Math. Soc. 370, No. 11, 8171-8213 (2018). Reviewer: Ahmed M. A. El-Sayed (Alexandria) MSC: 35R11 53A30 17B15 35S05 53C35 53C21 35J57 PDFBibTeX XMLCite \textit{M. D. M. González} and \textit{M. Sáez}, Trans. Am. Math. Soc. 370, No. 11, 8171--8213 (2018; Zbl 1397.35335) Full Text: DOI arXiv
Carpentier, Sylvain A sufficient condition for a rational differential operator to generate an integrable system. (English) Zbl 1380.37125 Jpn. J. Math. (3) 12, No. 1, 33-89 (2017). Reviewer: Simonetta Abenda (Bologna) MSC: 37K10 17B80 35Q53 35S05 37K05 PDFBibTeX XMLCite \textit{S. Carpentier}, Jpn. J. Math. (3) 12, No. 1, 33--89 (2017; Zbl 1380.37125) Full Text: DOI arXiv
Helminck, G. F. Integrable deformations in the matrix pseudo differential operators. (English) Zbl 1378.17045 J. Geom. Phys. 113, 104-116 (2017). MSC: 17B80 37K10 35Q53 35S05 PDFBibTeX XMLCite \textit{G. F. Helminck}, J. Geom. Phys. 113, 104--116 (2017; Zbl 1378.17045) Full Text: DOI
Basdouri, Okba Deformation of \(\mathfrak{aff}(1)\)-modules of pseudo-differential operators and symbols. (English) Zbl 1391.17019 J. Pseudo-Differ. Oper. Appl. 7, No. 2, 157-179 (2016). MSC: 17B56 47F05 53D55 58H15 PDFBibTeX XMLCite \textit{O. Basdouri}, J. Pseudo-Differ. Oper. Appl. 7, No. 2, 157--179 (2016; Zbl 1391.17019) Full Text: DOI
Kisil, Vladimir V. Calculus of operators: covariant transform and relative convolutions. (English) Zbl 1305.43009 Banach J. Math. Anal. 8, No. 2, 156-184 (2014). Reviewer: Yuri I. Karlovich (Cuernavaca) MSC: 43A80 45P05 47B38 47G10 22Exx 17Bxx 47C10 PDFBibTeX XMLCite \textit{V. V. Kisil}, Banach J. Math. Anal. 8, No. 2, 156--184 (2014; Zbl 1305.43009) Full Text: DOI arXiv Euclid Link
De Sole, Alberto; Kac, Victor G. Non-local Poisson structures and applications to the theory of integrable systems. (English) Zbl 1286.37062 Jpn. J. Math. (3) 8, No. 2, 233-347 (2013). Reviewer: Mohamed Selmi (Sousse-Riadh) MSC: 37K10 35Q53 17B69 37K30 17B63 PDFBibTeX XMLCite \textit{A. De Sole} and \textit{V. G. Kac}, Jpn. J. Math. (3) 8, No. 2, 233--347 (2013; Zbl 1286.37062) Full Text: DOI arXiv
Lesfari, A. Affine Lie algebras and pseudo-differential operators of infinite order. (Algèbres de Lie affines et opérateurs pseudo-différentiels d’ordre infini.) (French. English summary) Zbl 1274.37041 Math. Rep., Bucur. 14(64), No. 1, 43-69 (2012). MSC: 37K30 17B69 17B68 17B67 35Q51 35Q53 37K10 47G30 53D30 PDFBibTeX XMLCite \textit{A. Lesfari}, Math. Rep., Buchar. 14(64), No. 1, 43--69 (2012; Zbl 1274.37041)
Douglas, Michael R. Operator traces and holography. (English) Zbl 1257.83022 Mrowka, Tomasz (ed.) et al., Perspectives in mathematics and physics: Essays dedicated to Isadore Singer’s 85th birthday. Somerville, MA: International Press (ISBN 978-1-57146-145-2/hbk). Surveys in Differential Geometry 15, 131-161 (2011). Reviewer: Monika Winklmeier (Bogotá) MSC: 83C60 83-02 81-02 83C80 17B45 83C45 83D05 PDFBibTeX XMLCite \textit{M. R. Douglas}, Surv. Differ. Geom. 15, 131--161 (2011; Zbl 1257.83022)
Roger, Claude; Unterberger, Jérémie A Hamiltonian action of the Schrödinger-Virasoro algebra on a space of periodic time-dependent Schrödinger operators in \((1+1)\)-dimensions. (English) Zbl 1246.17032 J. Nonlinear Math. Phys. 17, No. 3, 257-279 (2010). Reviewer: Yucai Su (Shanghai) MSC: 17B68 37K30 37K65 81R12 PDFBibTeX XMLCite \textit{C. Roger} and \textit{J. Unterberger}, J. Nonlinear Math. Phys. 17, No. 3, 257--279 (2010; Zbl 1246.17032) Full Text: DOI arXiv
Guha, Partha Virasoro action on pseudo-differential symbols and (noncommutative) supersymmetric peakon type integrable systems. (English) Zbl 1220.37052 Acta Appl. Math. 108, No. 2, 215-234 (2009). Reviewer: Luen-Chau Li (University Park) MSC: 37K10 17B68 35Q53 58J40 37K30 PDFBibTeX XMLCite \textit{P. Guha}, Acta Appl. Math. 108, No. 2, 215--234 (2009; Zbl 1220.37052) Full Text: DOI
Tuganbaev, D. A. Malcev rings. (English. Russian original) Zbl 1218.16038 Discrete Math. Appl. 18, No. 2, 207-225 (2008); translation from Diskretn. Mat. 20, No. 2, 63-81 (2008). Reviewer: Igor Klep (Ljubljana) MSC: 16W60 17D10 16S32 16S36 PDFBibTeX XMLCite \textit{D. A. Tuganbaev}, Discrete Math. Appl. 18, No. 2, 207--225 (2008; Zbl 1218.16038); translation from Diskretn. Mat. 20, No. 2, 63--81 (2008) Full Text: DOI
Boyallian, Carina; Liberati, Jose I. On modules over matrix quantum pseudo-differential operators. (English) Zbl 1009.17017 Lett. Math. Phys. 60, No. 1, 73-85 (2002). Reviewer: Pasha Zusmanovich (Amsterdam) MSC: 17B66 17B10 81R10 PDFBibTeX XMLCite \textit{C. Boyallian} and \textit{J. I. Liberati}, Lett. Math. Phys. 60, No. 1, 73--85 (2002; Zbl 1009.17017) Full Text: DOI
Astashkevich, Alexander; Brylinski, Ranee Exotic differential operators on complex minimal nilpotent orbits. (English) Zbl 0918.16021 Brylinski, Jean-Luc (ed.) et al., Advances in geometry. Boston, MA: Birkhäuser. Prog. Math. 172, 19-51 (1999). Reviewer: A.G.Aleksandrov (Moskva) MSC: 16S32 53D50 14L30 81S10 17B20 22E46 PDFBibTeX XMLCite \textit{A. Astashkevich} and \textit{R. Brylinski}, Prog. Math. 172, 19--51 (1999; Zbl 0918.16021) Full Text: arXiv
Shoikhet, Boris Cohomology of the Lie algebras of differential operators: Lifting formulas. (English) Zbl 0928.17024 Feigin, B. (ed.) et al., Topics in quantum groups and finite-type invariants. Mathematics at the Independent University of Moscow. Providence, RI: American Mathematical Society. Transl. Math. Monogr. 185(38), 95-110 (1998). Reviewer: A.Rudakov (Trondheim) MSC: 17B56 17B66 PDFBibTeX XMLCite \textit{B. Shoikhet}, Transl. Math. Monogr. 185, 95--110 (1998; Zbl 0928.17024) Full Text: arXiv
Khesin, Boris; Lyubashenko, Volodymyr; Roger, Claude Extensions and contractions of the Lie algebra of \(q\)-pseudodifferential symbols on the circle. (English) Zbl 0872.35138 J. Funct. Anal. 143, No. 1, 55-97 (1997). Reviewer: L.Rodino (Torino) MSC: 35S05 17B68 35Q53 PDFBibTeX XMLCite \textit{B. Khesin} et al., J. Funct. Anal. 143, No. 1, 55--97 (1997; Zbl 0872.35138) Full Text: DOI arXiv
Fehér, László; Marshall, Ian Extensions of the matrix Gelfand-Dickey hierarchy from generalized Drinfeld-Sokolov reduction. (English) Zbl 0879.35130 Commun. Math. Phys. 183, No. 2, 423-461 (1997). Reviewer: I.Quandt (Berlin) MSC: 35Q53 37J35 37K10 17B68 PDFBibTeX XMLCite \textit{L. Fehér} and \textit{I. Marshall}, Commun. Math. Phys. 183, No. 2, 423--461 (1997; Zbl 0879.35130) Full Text: DOI arXiv
Wambst, Marc Homology of the quantum algebra of pseudo-differential symbols on the circle. (Homologie de l’algèbre quantique des symboles pseudo-différentiels sur le cercle.) (French) Zbl 0870.18011 Bull. Soc. Math. Fr. 124, No. 3, 523-544 (1996). Reviewer: G.F.Nassopoulos (Athens) MSC: 18G60 58J40 81S05 16E40 16S32 17B55 PDFBibTeX XMLCite \textit{M. Wambst}, Bull. Soc. Math. Fr. 124, No. 3, 523--544 (1996; Zbl 0870.18011) Full Text: DOI Numdam EuDML Link
Mickelsson, Jouko Wodzicki residue and anomalies of current algebras. (English) Zbl 0824.17028 Alekseev, Anton (ed.) et al., Integrable models and strings. Proceedings of the 3rd Baltic RIM student seminar, held at Helsinki, Finland, 13-17 September 1993. Berlin: Springer-Verlag. Lect. Notes Phys. 436, 123-135 (1994). MSC: 17B81 81T50 58J40 81R10 58Z05 81T17 PDFBibTeX XMLCite \textit{J. Mickelsson}, Lect. Notes Phys. 436, 123--135 (1994; Zbl 0824.17028) Full Text: arXiv
Dieudonné, Jean Éléments d’analyse. Tome IX. Chapitre XXIV. (French) Zbl 0485.58001 Cahiers Scientifiques, Fasc. XLII. Publie avec le concours du C. N. R. S. Paris: Gauthier-Villars. XVIII, 380 p. FF 320.00 (1982). MSC: 58-01 55-01 58A12 55Rxx 58A14 58A10 20G10 17B56 57Q05 55N10 53C05 14F40 14H05 58J10 58J20 PDFBibTeX XML