• 5. The formalism of left and right connections on supermanifolds, In: Lect. on supermanifolds, geom. methods and conf. groups, editors Dobner et al, World Scientific, Singapore, 1989, 3-13 (with Yu. I. Manin). download
• 30. Generalized Harish-Chandra modules, Moscow Math. Journal 2 (2002), 753-767 (with V. Serganova). download
• 34. Finite rank vector bundles on inductive limits of grassmannians, IMRN 2003, no. 34, 1871-1887 (with J. Donin). download
• 35. Classically semisimple locally finite Lie superalgebras, Forum Math. 16 (2004), 431-446. download
• 36. On the existence of (g,k)-modules of finite type, Duke Math. Journal 125 (2004), 329-349 (with V. Serganova and G. Zuckerman). download
• 39. Ind-varieties of generalized flags as homogeneous spaces for classical ind-groups, IMRN 2004, no. 55, 2935-2953 (with I. Dimitrov). download
• 40. Borel subalgebras of , Resenhas IME-USP 6 (2004),111-119 (with I. Dimitrov). download
• 41. Generalized Harish-Chandra modules with generic minimal k-type, Asian Journal of Mathematics 8(2004), 795-812 (with G. Zuckerman) download
• 42. A construction of generalized Harish-Chandra modules with arbitrary minimal k-type, Canad. Math. Bull. 50 (2007), 603-609 (with G. Zuckerman). download
• 43. Cartan subalgebras of root-reductive Lie algebras, Journ. of Algebra, 308(2007), 583-611 (with E. Dan-Cohen and N. Snyder). download
• 44. A construction of generalized Harish-Chandra modules for locally reductive Lie algebras, Transformation Groups 13 (2008), 799-817 (with G. Zuckerman). download
• 45. Locally semisimple and maximal subalgebras of the finitary Lie algebras gl(\infty), sl(\infty), so(\infty), and sp(\infty), Journal of Algebra 322 (2009), 2069�E081 (with I. Dimitrov) download
• 46. Parabolic and Levi subalgebras of finitary Lie algebras, IMRN, International Mathematics Research Notices, Article ID rnp169, doi:10.1093/imrn/rnp169 (with E. Dan-Cohen) download
• 47. Parabolic Subgroups of Real Direct Limit Lie Groups, Contemporary Mathematics 499, AMS 2009 (with E. Dan-Cohen and J. A. Wolf) download
• 48. Rank 2 vector bundles on ind-grassmannians, Manin Festschrift,in Progress in Mathematics 270, Birkhaeuser Boston, 2009, pp. 555-572 (with A. S. Tikhomirov). download
• 49. Bounded simple (g; sl(2))-modules for rkg = 2, Journal of Lie Theory 20 (2010), 581-615 (with V. Serganova). download
• 50. Tensor representations of classical locally finite Lie algebras, in Developments and Trends in Infinite-Dimensional Lie Theory, Progress in Mathematics 288, Birkh\"auser, 2011, pp. 127-150 (with K. Styrkas). download
• 51. On bounded generalized Harish-Chandra modules, Annales de l'Institut Fourier, 62(2012), 477-496 (with V. Serganova). download
• 52. Triviality of vector bundles on twisted ind-Grassmannians, Mat. Sbornik 202:1 (2011), 1-39 (with A. S. Tikhomirov). download
• 53. A Bott-Borel-Weil theorem for diagonal ind-groups, Canadian Journal of Mathematics, doi:10.4153/CJM-2011-032-6 (with I. Dimitrov). download
• 54. Categories of integrable $sl(\infty)$-, $o(\infty)$-, $sp(\infty)$-modules, in Representation Theory and Mathematical Physics, Contemporary Mathematics 557, AMS 2011, 335-357 (with V. Serganova). download
• 55. Levi components of parabolic subalgebras of finitary Lie algebras, arXiv:1008.0311v1, in Representation Theory and Mathematical Physics, Contemporary Mathematics 557, AMS 2011, 129-149 (with Elizabeth Dan-Cohen). download
• 56. A Koszul category of representations of finitary Lie algebras, Advances of Mathematics 289 (2016), 250-278 (with Elizabeth Dan-Cohen and Vera Serganova). download
• 57. On the structure of the fundamental series of generalized Harish-Chandra modules, Asian Journal of Mathematics 16 (2012), 489-514 (with Gregg Zuckerman). download
• 58. On Ideals in the enveloping algebra of a locally simple Lie algebra, Int Math Res Notices 2015 (2015), 5196-5228 (with A. Petukhov). download
• 59. Linear ind-Grassmannians, Pure and Applied Math. Quarterly 10 (2014), 289-323 (with A. Tikhomirov). download
• 60. Algebraic methods in the theory of generalized Harish-Chandra modules. In: Developments and Retrospectives in Lie Theory: Algebraic Methods, Developments in Mathematics, vol. 38, Springer Verlag, 2014, 331-350 (with G. Zuckerman). download
• 61. Tensor representations of Mackey Lie algebras and their dense subalgebras. In: Developments and Retrospectives in Lie Theory: Algebraic Methods, Developments in Mathematics, vol. 38, Springer Verlag, 291-330 (with V. Serganova), corrected version. download
• 62. On the Barth-Van de Ven-Tyurin-Sato Theorem, Sbornik: Mathematics, 206:6 (2015), 814-848 (with A. Tikhomirov). download
• 63. A categorification of the boson-fermion correspondence via representation theory of $sl(\infty)$, Comm. Math. Phys., 341:3 (2016), 911-931 (with I. Frenkel and V. Serganova). download
• 64. Annihilators of highest weight $sl(\infty)$-modules, Transformation Groups 21 (2016), 821-849 (with A. Petukhov). download
• 65. Infinite Kostant cascades and centrally generated primitive ideals of U(n) in types A_∞, C_∞, Journal of Algebra 447(2016), 109-134 (with M. Ignatyev). download
• 66. Schubert decompositions for ind-varieties of generalized flags, Asian Journal of Mathematics 21 (2017), 599-630 (with L. Fresse). download
• 67. On ideals in U(sl(∞)), U(o(∞)), U(sp(∞)). In: Representation theory - current trends and perspectives, EMS Series of Congress Reports, European Mathematical Society (EMS), 2016, 565-602 (with A. Petukhov). download
• 68. Ordered tensor categories and representations of the Mackey Lie algebra of infinite matrices, Algebras and Representation Theory 22 (2019), 249-279 (with A. Chirvasitu). download
• 69. Real group orbits on flag ind-varieties of SL(∞,ℂ). In: Lie Theory and Its Applications in Physics, Springer Proceedings in Mathematics and Statistics, vol. 191 (2016), 111-135 (with M. V. Ignatyev and J. A. Wolf), corrected version. download
• 70. On categories of admissible \(\big(\mathfrak{g},\mathrm{sl}(2)\big)\)-modules, Transformation Groups 23(2) (2018), 463-489(with V. Serganova and G. Zuckerman). download
• 71. Primitive ideals of \(\mathrm{U}\big(\mathfrak{sl}(\infty)\big)\), Bulletin LMS 50 (2018), 443-448 (with A. Petukhov). download
• 72. Ind-varieties of generalized flags: a survey of results, Journal of Mathematical Sciences 248 (2020), 255-302 (with M. Ignatyev). download
• 72'. Ind-varieties of generalized flags: a survey of results, Russian Academy of Sciences 2018, Topic Surveys 147, 3-50, (with M. Ignatyev), Russian version. download
• 73. Decomposition of cohomology of vector bundles on homogeneous ind-spaces, C. R. Acad. Bulg. 70:7 (2017), 907-916 (with E. Hristova). download
• 74. Orbit duality in ind-varieties of maximal generalized flags, Transactions of the Moscow Mathematical Society, 2017, 131-160 (with L. Fresse). download
• 74'. Orbit duality in ind-varieties of maximal generalized flags, Transactions of the Moscow Mathematical Society 78 (2017), no 1(with L. Fresse), Russian version, arXiv:1704.03671. download
• 75. Representation categories of Mackey Lie algebras as universal monoidal categories, Pure and Applied Mathematics Quarterly 13 (2017), 77-121 (with A. Chirvasitu). download
• 76. Primitive ideals of \(\mathrm{U}\big(\mathfrak{sl}(\infty)\big)\) and the Robinson-Schensted algorithm at infinity. In: Representation and Nilpotent orbits of Lie Algebraic Systems, Progress in Mathematics 330 (2019), Birkhauser, 471-499 (with A. Petukhov). download
• 77. Integrable \(\mathfrak{sl}(\infty)\)-modules and category \(\mathcal{O}\) for \(\mathfrak{gl}(m|n)\), Journal LMS 99 (2019), 403-427 (with C. Hoyt and V. Serganova). download
• 78. On an infinite limit of BGG categories \(\mathcal{O}\), Moscow Mathematical Journal 19 (2019), 655-693 (with K. Coulembier). download
• 79. On the existence of infinite-dimensional generalized Harish-Chandra modules, Sao-Paulo Journ. Math. 12 (2018), 290-294 (with G. Zuckerman). download
• 80. Simple bounded weight modules of \(\mathfrak{sl}_{\infty}\), \(\mathfrak{o}_{\infty}\), \(\mathfrak{sp}_{\infty}\), Transformation Groups 25(4) (2020), 1125-1160 (with D. Grantcharov). download
• 81. Large annihilator category \(\mathcal{O}\) for \(\mathfrak{sl}_{\infty}\), \(\mathfrak{o}_{\infty}\), \(\mathfrak{sp}_{\infty}\), Journal of Algebra 532 (2019), 249-279 (with V. Serganova). download
• 82. Examples of automorphism groups of ind-varieties of generalized flags, Journal of Geometry and Symmetry in Physics 50(2018), 71-77. download
• 83. An algebraic-geometric construction of ind-varieties of generalized flags, Annali di Matematica Pura ed Applicata 201 (2022), 2287–2314 (with A. Tikhomirov). download
• 84. Multiple flag ind-varieties with finitely many orbits, Transformation groups 27 (2022), 833–865 (with L. Fresse). download
• 85. Integrable bounded weight modules of classical Lie superalgebras at infinity, Journal of Pure and Applied Algebra 226 (2022), 106847 (with L. Calixto). download
• 86. Universal tensor categories generated by dual pairs, Applied Categorical Structures 29(5), 915-950 (with A. Chirvasitu), corrected version. download
• 87. Automorphism groups of ind-varieties of generalized flags, Transformation groups (2022), doi:10.1007/s00031-022-09703-1 (with M. Ignatyev). download
• 88. Bounded weight modules for basic classical Lie superalgebras at infinity, European Journal of Mathematics (2024), doi:10.1007/s40879-023-00720-2 (with D. Grantcharov and V. Serganova). download
• 89. Topological tensor representations of \(\mathfrak{gl}(V)\) for a space \(V\) of countable dimension, Algebraic Geometry and Physics, to appear, arXiv:2206.00654 (with F. Esposito). download
• 90. Topological semiinfinite tensor (super)modules, Journal of Algebra (2024), doi:10.1016/j.jalgebra.2023.11.035 (with F. Esposito). download
• 91. On homogeneous spaces for diagonal ind-groups, arXiv:2303.18146 (with L. Fresse). download
• 92. Representations of large Mackey Lie algebras and universal tensor categories, arXiv:2309.02522 (with V. Tsanov). download

• Classical Lie algebras at infinity, Springer Monographs in Mathematics, 2022, ISBN 978-3-030-89659-1 (with C. Hoyt).

Dissertations of former PhD students:

• A. Fadeev - Classification of primitive ideals of \(U(\mathfrak{o}(\infty))\) and \(U(\mathfrak{sp}(\infty))\). download
• E. Hristova - Branching laws for tensor modules over classical locally finite Lie algebras. download
• S. Markouski - On homomorphisms of diagonal Lie algebras. download
• T. Milev - On root Fernando-Kac subalgebras of finite type. download
• T. Nampaisarn - Categories \(\mathcal{O}\) for Dynkin Borel subalgebras of root-reductive Lie algebras. download
• A. Petukhov - A geometric approach to the study of (g, k)-modules of finite type. download

Bachelor's theses:

• A. Pal - Loewy lengths of indecomposable injective objects in certain universal tensor categories. download
• D. Rudenko - On ideals in certain Mackey algebras. download
• A. Shemyakov - On the socle filtration of indecomposable injective objects of the category \(\mathbb{T}^3_{\mathfrak{gl}^M}\). download
• M. Tarigradschi - On the automorphism groups of certain flag ind-varieties. download
• P. Weiss - Non-rigidity of the tensor representations of gl_\infty. download. Tables: download
• M. Zhang - Lie algebras of linear systems and their automorphisms. download
• N. Zokirova - Non-rigidity of injective indecomposable tensor modules of $\mathfrak{sp}(\infty)$ and $\mathfrak{so}(\infty)$. download