Papers of I. Penkov available in electronic format:

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
31. A Bott-Borel-Weil theory for direct limits of algebraic groups, American Journ. of Math. 124 (2002), 955-998 (with I. Dimitrov and J. A. Wolf).
32. Locally finite Lie algebras with root decomposition, Archiv der Math. 80 (2003) 478-485 (with H. Strade).
33. Cartan subalgebras of $gl_{\infty}$, Canadian Math. Bull., 46 (4), 2003, 597-616 (with K.-H. Neeb).
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
37. A Reduction Theorem for Highest Weight Modules over Toroidal Lie Algebras, Comm. Math. Physics 250(2004), no. 1, 47-53 (with I. Dimitrov and V. Futorny).
38. Generalized Harish-Chandra modules: a new direction of the structure theory of representations, Acta Applicandae Mathematicae, 81(2004), 311-326(with G. Zuckerman).
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 $gl(\infty)$ , 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), 2069-2081 (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, pp. 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 29 (2024), 743–772 (with M. Ignatyev). download
88. Bounded weight modules for basic classical Lie superalgebras at infinity, European Journal of Mathematics 10 (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, Transformation groups (2024), doi:10.1007/s00031-024-09853-4 (with L. Fresse). download
92. Representations of large Mackey Lie algebras and universal tensor categories, Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, doi:10.1007/s12188-024-00280-6 (with V. Tsanov). download
93. On isomorphisms of ind-varieties of generalized flags, Research in Arithmetic and Algebraic Geometry, Simons Symposia, Springer Verlag, to appear, arXiv:2404.03928 (with L. Fresse). download

Monographs:

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