Babich, M. V. On extensions of canonical symplectic structure from coadjoint orbit of complex general linear group. (English) Zbl 1477.22003 J. Math. Sci., New York 257, No. 4, 442-449 (2021) and Zap. Nauchn. Semin. POMI 487, 28-39 (2019). MSC: 22E10 PDFBibTeX XMLCite \textit{M. V. Babich}, J. Math. Sci., New York 257, No. 4, 442--449 (2021; Zbl 1477.22003) Full Text: DOI
Babich, Mikhail V. On canonical parametrization of phase spaces of isomonodromic deformation equations. (English) Zbl 1450.34068 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 3-12 (2019). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M56 34M55 PDFBibTeX XMLCite \textit{M. V. Babich}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 3--12 (2019; Zbl 1450.34068) Full Text: DOI
Babich, M. V. On parametrization of the symplectic quotient of the Cartesian product of coadjoint orbits of the complex general linear group with respect to its diagonal action. (English) Zbl 1429.53094 J. Math. Sci., New York 242, No. 5, 587-594 (2019) and Zap. Nauchn. Semin. POMI 473, 7-16 (2018). MSC: 53D20 15A99 PDFBibTeX XMLCite \textit{M. V. Babich}, J. Math. Sci., New York 242, No. 5, 587--594 (2019; Zbl 1429.53094) Full Text: DOI
Babich, M. V. Birational Darboux coordinates on nilpotent coadjoint orbits of classical complex Lie groups, the case of \(2 \times 2\) Jordan blocks. (English) Zbl 1420.22008 J. Math. Sci., New York 238, No. 6, 763-768 (2019) and Zap. Nauchn. Semin. POMI 465, 5-12 (2017). MSC: 22E10 PDFBibTeX XMLCite \textit{M. V. Babich}, J. Math. Sci., New York 238, No. 6, 763--768 (2019; Zbl 1420.22008) Full Text: DOI
Babich, M. V. Birational Darboux coordinates on (co)adjoint orbits of \(\mathrm{GL}(N,\mathbb{C})\). (English. Russian original) Zbl 1346.22003 Funct. Anal. Appl. 50, No. 1, 17-30 (2016); translation from Funkts. Anal. Prilozh. 50, No. 1, 20-37 (2016). Reviewer: Benjamin Cahen (Metz) MSC: 22E10 17B08 53D05 PDFBibTeX XMLCite \textit{M. V. Babich}, Funct. Anal. Appl. 50, No. 1, 17--30 (2016; Zbl 1346.22003); translation from Funkts. Anal. Prilozh. 50, No. 1, 20--37 (2016) Full Text: DOI arXiv
Babich, M. V. Young tableaux and stratification of the space of square complex matrices. (English. Russian original) Zbl 1339.05421 J. Math. Sci., New York 213, No. 5, 651-661 (2016); translation from Zap. Nauchn. Semin. POMI 433, 41-64 (2015). MSC: 05E10 14M15 PDFBibTeX XMLCite \textit{M. V. Babich}, J. Math. Sci., New York 213, No. 5, 651--661 (2016; Zbl 1339.05421); translation from Zap. Nauchn. Semin. POMI 433, 41--64 (2015) Full Text: DOI
Babich, M. V. On birational Darboux coordinates on coadjoint orbits of classical complex Lie groups. (English. Russian original) Zbl 1327.22008 J. Math. Sci., New York 209, No. 6, 830-844 (2015); translation from Zap. Nauchn. Semin. POMI 432, 36-57 (2015). Reviewer: Tin Yau Tam (Auburn) MSC: 22E10 17B08 PDFBibTeX XMLCite \textit{M. V. Babich}, J. Math. Sci., New York 209, No. 6, 830--844 (2015; Zbl 1327.22008); translation from Zap. Nauchn. Semin. POMI 432, 36--57 (2015) Full Text: DOI
Babich, M. V.; Derkachov, S. E. On rational symplectic parametrization of the coadjoint orbit of \(\text{GL}(N)\). Diagonalizable case. (English. Russian original) Zbl 1222.53080 St. Petersbg. Math. J. 22, No. 3, 347-357 (2011); translation from Algebra Anal. 2010, No. 3, 16-31 (2010). Reviewer: Juan Núñez Valdés (Sevilla) MSC: 53D05 17B08 PDFBibTeX XMLCite \textit{M. V. Babich} and \textit{S. E. Derkachov}, St. Petersbg. Math. J. 22, No. 3, 347--357 (2011; Zbl 1222.53080); translation from Algebra Anal. 2010, No. 3, 16--31 (2010) Full Text: DOI