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ЖУРНАЛЫ // Известия Саратовского университета. Новая серия. Серия: Математика. Механика. Информатика

Изв. Сарат. ун-та. Нов. сер. Сер.: Математика. Механика. Информатика, 2019, том 19, выпуск 4, страницы 377–388 (Mi isu815)

Pieri formulae and specialisation of super Jacobi polynomials
A. N. Sergeev, E. D. Zharinov

Библиографический список

1. O. A. Chalykh, “Macdonald polynomials and algebraic integrability”, Advances in Mathematics, 166:2 (2002), 193–259  crossref  mathscinet  zmath  scopus
2. E. Feigin, I. Makedonskyi, “Generalized Weyl modules, alcove paths and Macdonald polynomials”, Selecta Mathematica, 23:4 (2017), 2863–2897  crossref  mathscinet  zmath  elib  scopus
3. B. Feigin, M. Jimbo, T. Miwa, E. Mukhin, “A differential ideal of symmetric polynomials spanned by Jack polynomials at $b=-(r-1)/(k+1)$”, International Mathematics Research Notices, 2002:23 (2002), 1223–1237  crossref  mathscinet  zmath
4. I. Macdonald, Symmetric functions and Hall polynomials, Oxford Univ. Press, 1995, 475 pp.  mathscinet  zmath
5. M. Noumi, “Macdonald's Symmetric Polynomials as Zonal Spherical Functions on Some Quantum Homogeneous Spaces”, Advances in Mathematics, 123:1 (1996), 16–77  crossref  mathscinet  zmath  scopus
6. M. A. Olshanetsky, A. M. Perelomov, “Quantum integrable systems related to Lie algebras”, Physics Reports, 94:6 (1983), 313–404  crossref  mathscinet  adsnasa  scopus
7. A. N. Sergeev, A. P. Veselov, “$BC_{\infty}$ Calogero–Moser operator and super Jacobi polynomials”, Advances in Mathematics, 222:5 (2009), 1687–1726  crossref  mathscinet  zmath  scopus
8. A. N. Sergeev, A. P. Veselov, “Euler characters and super Jacobi polynomials”, Advances in Mathematics, 226:5 (2011), 4286–4315  crossref  mathscinet  zmath  scopus
9. V. Serganova, “Characters of irreducible representations of simple Lie superalgebras”, Documenta Mathematica, 1998, 583–593  mathscinet  zmath
10. C. Gruson, V. Serganova, “Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras”, Proceedings of the London Mathematical Society, 101:3 (2010), 852–892  crossref  mathscinet  zmath
11. Sergeev A. N., “Lie Superalgebras, Calogero–Moser–Sutherland Systems”, Journal of Mathematical Sciences, 235:6 (2018), 756–785  crossref  mathscinet


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