Sheinman, O. K. Lax operator algebras and integrable systems. (English. Russian original) Zbl 1395.17047 Russ. Math. Surv. 71, No. 1, 109-156 (2016); translation from Usp. Mat. Nauk 71, No. 1, 117-168 (2016). MSC: 17B65 17B67 14H10 14H15 14H55 17B80 37K20 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Russ. Math. Surv. 71, No. 1, 109--156 (2016; Zbl 1395.17047); translation from Usp. Mat. Nauk 71, No. 1, 117--168 (2016) Full Text: DOI arXiv
Sheinman, Oleg K. Lax equations and the Knizhnik-Zamolodchikov connection. (English) Zbl 1281.17023 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 – July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser (ISBN 978-3-0348-0447-9/hbk; 978-3-0348-0448-6/ebook). Trends in Mathematics, 405-413 (2013). MSC: 17B66 17B80 14H10 14H15 14H55 30F30 81R10 81T40 PDFBibTeX XMLCite \textit{O. K. Sheinman}, in: Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 -- July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser. 405--413 (2013; Zbl 1281.17023) Full Text: DOI arXiv
Sheinman, O. K. Lax operator algebras and Hamiltonian integrable hierarchies. (English. Russian original) Zbl 1246.17029 Russ. Math. Surv. 66, No. 1, 145-171 (2011); translation from Usp. Mat. Nauk. 66, No. 1, 151-178 (2011). Reviewer: Martin Schlichenmaier (Luxembourg) MSC: 17B66 17B67 14H10 14H15 14H55 30F30 81R10 81T40 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Russ. Math. Surv. 66, No. 1, 145--171 (2011; Zbl 1246.17029); translation from Usp. Mat. Nauk. 66, No. 1, 151--178 (2011) Full Text: DOI arXiv
Sheinman, Oleg K. On certain current algebras related to finite-zone integration. (English) Zbl 1196.17022 Buchstaber, V. M. (ed.) et al., Geometry, topology, and mathematical physics. S. P. Novikov’s seminar: 2006–2007. Selected papers of the seminar, Moscow, Russia, 2006–2007. Dedicated to S. P. Novikov on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4674-2/hbk). Translations. Series 2. American Mathematical Society 224. Advances in the Mathematical Sciences 61, 271-284 (2008). Reviewer: Martin Schlichenmaier (Luxembourg) MSC: 17B67 17B68 22E67 14H60 81R10 30F30 14H10 14H15 14H55 81T40 17B66 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Transl., Ser. 2, Am. Math. Soc. 224, 271--284 (2008; Zbl 1196.17022)
Sheinman, Oleg K. Affine Krichever-Novikov algebras, their representations and applications. (English) Zbl 1081.17014 Buchstaber, V. M. (ed.) et al., Geometry, topology, and mathematical physics. Selected papers from S. P. Novikov’s seminar held in Moscow, Russia, 2002–2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3613-7/hbk). Translations. Series 2. American Mathematical Society. 212. Advances in the Mathematical Sciences 55, 297-316 (2004). Reviewer: Martin Schlichenmaier (Luxembourg) MSC: 17B65 17B67 17B68 22E67 14H60 81R10 81T40 35Q15 14H55 PDFBibTeX XMLCite \textit{O. K. Sheinman}, in: Geometry, topology, and mathematical physics. Selected papers from S. P. Novikov's seminar held in Moscow, Russia, 2002--2003. Providence, RI: American Mathematical Society (AMS). 297--316 (2004; Zbl 1081.17014) Full Text: arXiv
Sheinman, O. K. Second order Casimirs for the affine Krichever-Novikov algebras \(\widehat{\mathfrak {gl}}_{g,2}\) and \(\widehat{\mathfrak {sl}}_{g,2}\). (English) Zbl 1123.17300 Mosc. Math. J. 1, No. 4, 605-628 (2001). MSC: 17B67 14H55 81R10 81T40 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Mosc. Math. J. 1, No. 4, 605--628 (2001; Zbl 1123.17300) Full Text: Link
Sheinman, O. K. Orbits and representation of Krichever-Novikov affine-type algebras. (English) Zbl 0890.17026 J. Math. Sci., New York 82, No. 6, 3834-3843 (1996). Reviewer: M.Schlichenmaier (Mannheim) MSC: 17B67 14H55 81R10 22E67 30F30 81T40 PDFBibTeX XMLCite \textit{O. K. Sheinman}, J. Math. Sci., New York 82, No. 6, 3834--3843 (1996; Zbl 0890.17026) Full Text: DOI
Sheinman, O. K. Modules with highest weight for affine Lie algebras on Riemann surfaces. (English. Russian original) Zbl 0848.17023 Funct. Anal. Appl. 29, No. 1, 44-55 (1995); translation from Funkts. Anal. Prilozh. 29, No. 1, 56-71 (1995). Reviewer: M.Schlichenmaier (Mannheim) MSC: 17B67 22E67 30F30 14H55 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Funct. Anal. Appl. 29, No. 1, 44--55 (1995; Zbl 0848.17023); translation from Funkts. Anal. Prilozh. 29, No. 1, 56--71 (1995) Full Text: DOI
Sheinman, O. K. Representations of Krichever-Novikov algebras. (English) Zbl 0848.17022 Novikov, S. P. (ed.), Topics in topology and mathematical physics. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 170(27), 185-197 (1995). Reviewer: M.Schlichenmaier (Mannheim) MSC: 17B67 22E67 30F30 14H55 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Transl., Ser. 2, Am. Math. Soc. 170, 185--197 (1995; Zbl 0848.17022)