Shifi (Shifra) Reif
My
main research interests are Representation theory, Lie algebras and
superalgebras, and algebraic combinatorics. I am currently at a tenure track
position at Bar Ilan University. I’ve been a postdoctoral fellow at University
of Michigan 2011-2015, after receiving my Ph.D. at the Weizmann Institute of
Science, where my advisor was Maria Gorelik.
Publications:
1.
Simplicity
of vacuum modules over affine Lie superalgebras, with Crystal Hoyt, Journal of Algebra 321 no. 10 (2009),
2861-2874.
2.
Weyl
Denominator identity for affine Lie superalgebras with zero Coxeter number, with Maria Gorelik, Algebra and Number Theory 6 (2012),
1043-1059.
3.
Denominator
identity for twisted affine Lie superalgebras,
Int. Math. Res. Notices (2014),
4146-4178.
4.
Savings
and insurance within the dual theory of choice. Risk and Decision Analysis 4 no. 4 (2013), 235-241.
With Y. Machnes.
5.
The
Kac Wakimoto character formula for the general linear Lie superalgebras, Algebra and Number Theory 9 (2015), 1419-1452.
With M. Chmutov and C. Hoyt.
6.
A
superdimension formula for gl(m|n) modules,
J. Algebra Appl 15 (2016), 1650080.
With M. Chmutov and R. Karpman.
7.
A
Weyl-Type character formula for PDC modules of gl(m|n), J. Lie
Theory 27 (2017), 1069-1088.
With M. Chmutov and C. Hoyt.
8.
The
Duflo-Serganova functor and Grothendieck rings of Lie superalgebras, Algebra and Number Theory 12 (2018),
2167-2184. With C. Hoyt.
9.
The
Grothendieck ring of periplectic Lie superalgebras, Math. Res.
Letters 28 (2021), 1175-1195. With
M.-S. Im, and V. Serganova. (Submitted 2019).
10.
Denomanator
identities for periplectic Lie superalgebras, J. Algebra
567 (2021), 459-474. With C.
Hoyt, M.-S. Im.
11. On
tensor products of irreducible integrable representations, J. Algebra 592 (2022), 402-423. With R. Venkatesh.
12. Grothendieck
Rings of Queer Lie Superalgebras, accepted to Proc. AMS.
Email: shifra.reif@biu.ac.il
Coordinates:
Room 112, Building 216, Department of Mathematics, Bar Ilan University.