Papers of I. Penkov available in electronic format:

30. Generalized HarishChandra modules, Moscow Math.
Journal 2 (2002), 753767 (with V. Serganova).
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34. Finite rank vector bundles on inductive limits of grassmannians, IMRN 2003, no. 34, 18711887 (with J. Donin).
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35. Classically semisimple locally finite Lie superalgebras, Forum Math. 16 (2004), 431446.
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36. On the existence of (g,k)modules of finite type, Duke Math. Journal 125 (2004), 329349 (with V. Serganova and G. Zuckerman).
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39. Indvarieties of generalized flags as homogeneous spaces for classical indgroups, IMRN 2004, no. 55, 29352953 (with I. Dimitrov).
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40. Borel subalgebras of , Resenhas IMEUSP 6 (2004),111119 (with I. Dimitrov).
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41. Generalized HarishChandra modules with generic minimal ktype, Asian Journal of Mathematics 8(2004), 795812 (with G. Zuckerman)
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42. A construction of generalized HarishChandra modules with arbitrary minimal ktype, Canad. Math. Bull. 50 (2007), 603609 (with G. Zuckerman).
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43. Cartan subalgebras of rootreductive Lie algebras, Journ. of Algebra, 308(2007), 583611 (with E. DanCohen and N. Snyder).
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44. A construction of generalized HarishChandra modules for locally reductive Lie algebras, Transformation Groups 13 (2008), 799817 (with G. Zuckerman).
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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), 2069E081 (with I. Dimitrov)
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46. Parabolic and Levi subalgebras of finitary Lie algebras, IMRN, International Mathematics Research Notices, Article ID rnp169,
doi:10.1093/imrn/rnp169 (with E. DanCohen) download

47. Parabolic Subgroups of Real Direct Limit Lie Groups, Contemporary Mathematics 499, AMS 2009 (with E. DanCohen and J. A. Wolf) download

48. Rank 2 vector bundles on indgrassmannians, Manin Festschrift,in Progress in Mathematics 270, Birkhaeuser Boston, 2009, pp. 555572 (with A. S. Tikhomirov).
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49. Bounded simple (g; sl(2))modules for rkg = 2, Journal of Lie Theory 20 (2010), 581615 (with V. Serganova). download

50. Tensor representations of infinitedimensional rootreductive Lie algebras, in Developments and Trends in InfiniteDimensional Lie Theory, Progress in Mathematics 288, Birkh\"auser, 2011, pp. 127150 (with K. Styrkas).
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51. On bounded generalized HarishChandra modules, Annales de l'Institut Fourier, 62(2012), 477496 (with V. Serganova).
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52. Triviality of vector bundles on twisted indGrassmannians, Mat. Sbornik 202:1 (2011), 139 (with A. S. Tikhomirov). download

53. A BottBorelWeil theorem for diagonal indgroups, Canadian Journal of Mathematics, doi:10.4153/CJM20110326 (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, 335357 (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, 129149 (with Elizabeth DanCohen). download

56. A Koszul category of representations of finitary Lie algebras, Advances of Mathematics 289 (2016), 250278 (with Elizabeth DanCohen and Vera Serganova). download

57. On the structure of the fundamental series of generalized HarishChandra modules, Asian Journal of Mathematics 16 (2012), 489514 (with Gregg Zuckerman). download

58. On Ideals in the enveloping algebra of a locally simple Lie algebra, Int Math Res Notices 2015 (2015), 51965228 (with A. Petukhov).
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59. Linear indGrassmannians, Pure and Applied Math. Quarterly 10 (2014), 289323 (with A. Tikhomirov). download

60. Algebraic methods in the theory of generalized HarishChandra modules. In: Developments and Retrospectives in Lie Theory: Algebraic Methods, Developments in Mathematics, vol. 38, Springer Verlag, 2014, 331350 (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, 291330 (with V. Serganova). download

62. On the BarthVan de VenTyurinSato Theorem, Sbornik: Mathematics, 206:6 (2015), 814848 (with A. Tikhomirov).
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63. A categorification of the bosonfermion correspondence via representation theory of $sl(\infty)$, Comm. Math. Phys., 341:3 (2016), 911931 (with I. Frenkel and V. Serganova).
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64. Annihilators of highest weight $sl(\infty)$modules, Transformation Groups 21 (2016), 821849 (with A. Petukhov). download

65. Infinite Konstant cascades and centrally generated primitive ideals of U(n) in types A_∞, C_∞, Journal of Algebra 447(2016), 109134 (with M. Ignatyev). download

66. Schubert decompositions for indvarieties of generalized flags, Asian Journal of Mathematics 21 (2017), 599630 (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, 565602 (with A. Petukhov). download

68. Ordered tensor categories and representations of the Mackey Lie
algebra of infinite matrices, Algebras and Representation Theory 22 (2019), 249279 (with A. Chirvasitu). download

69. Real group orbits on flag indvarieties of SL(∞,ℂ). In: Lie Theory and Its Applications in Physics, Springer Proceedings in Mathematics and Statistics, vol. 191 (2016), 111135 (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), 463489(with V. Serganova and G. Zuckerman). download

71. Primitive ideals of \(\mathrm{U}\big(\mathfrak{sl}(\infty)\big)\), Bulletin LMS 50 (2018), 443448 (with A. Petukhov).
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72. Indvarieties of generalized flags: a survey of results, arXiv:1701.08478, preprint 2016 (with M. Ignatyev).
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72'. Indvarieties of generalized flags: a survey of results, Russian Academy of Sciences 2018, Topic Surveys 147, 350, (with M. Ignatyev), Russian version.
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73. Decomposition of cohomology of vector bundles on
homogeneous indspaces, C. R. Acad. Bulg. 70:7 (2017), 907916 (with E. Hristova). download

74. Orbit duality in indvarieties of maximal generalized flags, Transactions of the Moscow Mathematical Society, 2017, 131160 (with L. Fresse). download

74'. Orbit duality in indvarieties of maximal generalized flags, Transactions of the Moscow Mathematical Society 78 (2017), no 1(with L. Fresse), Russian version, arXiv:1704.03671.
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75. Representation categories of Mackey Lie algebras as universal
monoidal categories, Pure and Applied Mathematics Quarterly 13 (2017), 77121 (with A. Chirvasitu).
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76. Primitive ideals of \(\mathrm{U}\big(\mathfrak{sl}(\infty)\big)\)
and
the RobinsonSchensted algorithm at infinity, arXiv:1801.06692, to appear in Representation of Lie Algebraic Systems and Nilpotent orbits, Progress in Mathematics, Birkhauser (with A. Petukhov).
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77.
Integrable \(\mathfrak{sl}(\infty)\)modules and category \(\mathcal{O}\) for \(\mathfrak{gl}(mn)\), Journal LMS, DOI: 10.1112/jlms.12176, arXiv:1712.00664 (with C. Hoyt and V. Serganova).
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78. On an infinite limit of BGG categories \(\mathcal{O}\), Moscow Mathematical Journal, to appear; arXiv:1802.06343 (with K. Coulembier).
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79. On existence of infinitedimensional generalized HarishChandra modules, SaoPaulo Jour. Math. 12(2018), 290294(with G. Zuckerman).
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80. Simple bounded weight modules of \(\mathfrak{sl}_{\infty}\), \(\mathfrak{o}_{\infty}\), \(\mathfrak{sp}_{\infty}\), arXiv:1807.01899, preprint 2018 (with D. Grantcharov).
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81. Large annihilator category \(\mathcal{O}\) for \(\mathfrak{sl}_{\infty}\), \(\mathfrak{o}_{\infty}\), \(\mathfrak{sp}_{\infty}\), Journal of Algebra, to appear; arXiv:1809.09394 (with V. Serganova).
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82. Examples of automorphism groups of indvarieties of generalized flags, Journal of Geometry and Symmetry in Physics 50(2018),7177 (doi:10.7546/jgsp5020187177).
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Dissertations of former PhD students:

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 FernandoKac subalgebras of finite type. download

T. Nampaisarn  Categories \(\mathcal{O}\) for Dynkin Borel subalgebras of rootreductive Lie algebras. download

A. Petukhov  A geometric approach to the study of (g, k)modules of finite type. download
Bachelor's theses:

A. Shemyakov  On the socle filtration of indecomposable injective objects of the category \(\mathbb{T}^3_{\mathfrak{gl}^M}\). download

P. Weiss  Nonrigidity of the tensor representations of gl_\infty. download

M. Zhang  Lie algebras of linear systems and their automorphisms. download

N. Zokirova  Nonrigidity of injective indecomposable tensor modules of $\mathfrak{sp}(\infty)$ and $\mathfrak{so}(\infty)$. download
