Publications and Preprints


 

1.  (Joint with V. Serganova) Tensor representations of q(\infty), to appear in Algebr. Represent. Theory. (preprint)

2.  (Joint with V. Futorny, L.E. Ramirez) Gelfand-Tsetlin modules of sl(3) in the principal block, to appear in  Contemp. Math.

3.  (Joint with V. Futorny, L.E. Ramirez) Drinfeld category and the classification of singular Gelfand-Tsetlin gl(n)-modules,  Int. Math. Res. Not. (2017) rnx159, https://doi.org/10.1093/imrn/rnx159 (preprint)

4.  (Joint with C. Conley) Quantization and injective submodules of differential operator modules, Adv. Math. 316 (2017) 216–254. (preprint)

5.    (Joint with V. Futorny, L.E. Ramirez) New singular Gelfand-Tsetlin gl(n)-modules of index 2, Comm. Math. Phys. 355 (2017) 1209 – 1241.(preprint)

6.  (Joint with A. Cavaness) Bounded weight modules of the Lie algebra of vector fields on C^2, to appear in J. Algebra Appl. (preprint)

7.    (Joint with J.-H. Jung, S.-J. Kang, M. Kim) A categorification of q(2)-crystals, Algebr. Represent. Theory 20 (2017) 469–486. (preprint)

8.    (Joint with V. Serganova) On weight modules of algebras of twisted differential operators on the projective space, Transform. Groups 21 (2016) 87–114. (preprint)

9.  (Joint with V. Futorny, L.E. Ramirez) Singular Gelfand-Tsetlin modules of gl(n), Adv. Math. 290 (2016) 453–482. (preprint)

10. (Joint with T. Ferguson, M. Gorelik) Bounded highest weight modules of osp(1,2n), Proc. Symp. Pure Math, AMS, Volume 92 (2016) 135—143. 

11.  (Joint with V. Futorny, L.E. Ramirez) Generic irreducible Gelfand-Tsetlin modules of gl(n), SIGMA 11 (2015) 018, 13 pp. (preprint)

12. (Joint with J.-H. Jung, S.-J. Kang, M. Kashiwara, M. Kim) Crystal bases for the quantum queer superalgebra, J. Eur. Math Soc. (JEMS) 17 (2015) 1593–1627. (preprint)

13.  (Joint with V. Futorny, R. Martins) Localization of free field realizations of affine Lie algebras, Lett. Math. Phys. 105 (2015) 483–502. (preprint)

14.  (Joint with M. Gorelik) Bounded highest weight modules of q(n), Int. Math. Res. Not.  2014(22) (2014) 6111–6154. (preprint)

15.   Twisted localization of weight modules, “Developments and Retrospectives in Lie Theory: Algebraic Methods”, Volume 38, 2014, 185–206, Springer Verlag.

16.  (Joint with V. Futorny, V. Mazorchuk) Weight modules over infinite dimensional Weyl algebras, Proc. Amer. Math. Soc. 142 (2014) 3049–3057. (preprint)

17.  (Joint with J.-H. Jung, S.-J. Kang, M. Kashiwara, M. Kim) Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux, Trans. Amer. Math. Soc. 366 (2014) 457–489 (preprint)

18.  (Joint with V. Futorny, L.E. Ramirez) On the classification of irreducible Gelfand-Tsetlin modules of sl(3), Contemp. Math. 623 (2014) 63–79.

19.  (Joint with M. Gorelik) Q-type Lie superalgebras, “Advances in Lie Superalgebras”, Springer INdAM Series, Volume 7, 2014, 67–89.

20.  (Joint with M. Yakimov) Cominuscule parabolics of simple finite dimensional Lie superalgebras, J. Pure Appl. Algebra 217 (2013), 1844–1863.  (preprint)

21.  (Joint with J.-H. Jung, S.-J. Kang, M. Kashiwara, M. Kim) Quantum queer superalgebra and crystal bases, Proc. Japan Acad. Ser. A Math. Sci. 86 (2010) 177–182. (preprint)

22.  (Joint with V. Serganova) Cuspidal representations of sl(n+1), Adv. Math. 224 (2010) 1517–1547. (preprint)

23.  (Joint with J.-H. Jung, S.-J. Kang, M. Kim) Highest weight modules over quantum queer superalgebra, Comm. Math. Phys. 296 (2010) 827–860. (preprint)

24.  Explicit realizations of simple weight modules of classical Lie superalgebras, Contemp. Math. 499 (2009) 141–148.

25.  (Joint with I. Dimitrov, V. Futorny) Parabolic sets of roots, Contemp. Math. 499 (2009) 61–74. (preprint)

26.  (Joint with A. Pianzola) Automorphisms of toroidal Lie superalgebras, J. Algebra 319 (2008) 4230–4248. (preprint)

27.  (Joint with G. Grantcharov, Y. S. Poon) Calabi-Yau connections with torsion on toric bundles, J. Diff. Geom. 78 (2008) 13–32. (preprint)

28.  (Joint with V. Serganova) Category of sp(2n)-modules with bounded weight multiplicities, Mosc. Math. J. 6 (2006) 119–134. (preprint)

29.  On the structure and characters of weight modules, Forum Math. 18 (2006) 933–950. (preprint)

30.  (Joint with A. Pianzola) Automorphisms and twisted loop algebras of finite dimensional simple Lie superalgebras, Int. Math. Res. Not. 73 (2004) 3937–3962. (preprint)

31.  Coherent families of weight modules of Lie superalgebras and explicit description of the simple admissible sl(n|1)-modules, J. Algebra 265 (2003) 711–733.

32.  (Joint with K. Abe, G. Grantcharov) On some complex manifolds with torus symmetry, Contemp. Math. 337 (2003) 1–8.



Submitted


33. (Joint with N. Grantcharov, D. Nakano, J. Wu) On BBW parabolics for simple classical Lie superalgebras. (preprint)

34.  (Joint with V. Futorny, L.E. Ramirez, P. Zadunaisky) Gelfand- Tsetlin theory for rational Galois algebras. (preprint)

35.  (Joint with G. Grantcharov) Relations between Laplace spectra and geometric quantization of compact symmetric spaces.

36.  (Joint with I. Penkov) Simple bounded modules of sl(\infty), o(\infty), sp(\infty). (preprint)