Eli Aljadeff
Department of Mathematics
Technion-Israel
Institute of Technology,
Tel. 04-8294284 , e-mail: aljadeff@tx.technion.ac.il,
Ph.D. Mathematics,
Research Interests: Algebra
Ph.D.
Students
Past students:
Yuval Ginosar-1996
Michael Natapov-2005
Aviv Censor -2007
Ehud Meir ben Ephraim-2010
Current students:
Nir Ben David
Eli Geva
Igor
Karasik
Adi
Wolf
Yuval
Shpigelman
M.Sc.
Students
Past
students:
Yuval
Ginosar-1992
Uri
Onn-1995
Elena
Guralnik-1999
Michael
Natapov- 2001
Nir
Ben David- 2005
Ehud
Meir ben Ephraim- 2005
Shira
Zerbib- 2007
Eli Geva- 2008
Igor
Karasik-2010
Adi
Wolf-2011
Current students:
Ofir
David
Lectures
at international conferences
LIST OF PUBLICATIONS
In Print
1) E. Aljadeff
and S. Rosset, Global dimensions of crossed products, J.of Pure and Applied
Algebra, (1986), 103-113.
2) E. Aljadeff and S. Rosset, Growth and uniqueness of rank,
3) E. Aljadeff and S.
Rosset, Crossed products, cohomology and equivariant
projective representations, J. of Algebra, vol. 121, No. 1, (1989) 99-116.
4) E. Aljadeff, Homological
duality for crossed products, J. of Algebra, vol. 134, No.1 (1990),
157-181.
5)
E. Aljadeff, Serre's
extension theorem for crossed products, J. of the London Math. Society, No. 2
Vol. 44, (1991), 47-54.
6) E. Aljadeff and J. Sonn, Projective
Schur division algebras are abelian
crossed products, J. of Algebra, vol 163, No.3
(1994), 795-805.
7) E. Aljadeff, On the surjectivity of some trace
maps,
8) E. aljadeff and D. Robinson, Semisimple algebras,
Galois actions and group cohomology, J. of Pure
and Applied Algebra, vol. 94, (1994), 1-15.
9) E. Aljadeff and Y. Ginosar, On
the global dimension of multiplicative Weyl algebras,
Arch. Math., vol. 62 (1994), 401-407.
10) E. Aljadeff and J. Sonn, Projective
Schur algebras have abelian
splitting fields, J. of Algebra, vol. 175 (1995). 179-187.
11) E. Aljadeff
and D. Robinson, Solution of the twisting
problem for skew group algebras, Israel J. of Mathematcs,
vol. 91 (1995) 409-417.
12) E. Aljadeff and J. Sonn, On the projective Schur group of a
field, J. of Algebra, vol. 178 (1995), 530-540.
13) E. Aljadeff
and Y. Ginosar, Induction
from elementary abelian subgroups, J. of Algebra,
vol. 179 (1996), 599-606.
14) E. Aljadeff, J. Cornick, Y. Ginosar and P.H. Kropholler, On a
conjecture of Moore, J. of Pure and Appl. Algebra, vol. 110 (1996),
109-112.
15) E. Aljadeff and J. Sonn, Bounds on order of
finite subgroups of PGL_n(k), J. of Algebra, vol.
210 (1998), 352-360.
16) E. Aljadeff, Y. Ginosar and U. Onn, Projective representations and semisimplicity,
J. of Algebra, vol. 217 (1999), 249-274.
17) E. Aljadeff and J. Sonn, Projective Schur algebras of nilpotent type are Brauer
equivalent to radical algebras, J. of Algebra, 220 (1999), 401-414.
18) E. Ajadeff
and J. Sonn, Exponent
reduction for radical abelian algebras, J. of
Algebra, 223 (2000), 527-534.
19)
E, Aljadeff and A.R. Magid,
Deformations and liftings
of representations, Conteporary Mathematics, 264,
Amer. Math. Soc., Providence, RI, 2000.
20) E. Aljadeff
and D. Haile, Division algebras with a projective
basis, Israel J. of Mathematics, 121 (2001), 173-198.
21) E. Aljadedd and J. Sonn, Exponent
reduction for projective Schur algebras, J. of Algebra, 239
(2001), 356-364.
22) E. Aljadeff and C. Kassel, Explicit norm one elements for ring actions
of finite abelian groups, Israel J. of
Mathematics, 129 (2002), 99-108.
23) E. Aljadeff
and J. Sonn, Relative
Brauer groups and m-torsion, Proceedings of AMS,
130 No.5 (2002), 1333-1337.
24) E. Aljadeff
and J. Sonn, Fields
for which the projective Schur subgroup is the whole Brauer group, Israel J. of Mathematics, 131 (2002),
375-379.
25) E. Aljadeff, Y. Ginosar and A. del
26) E. Aljadeff, P. Etingof, S. Gelaki and D. Nikshych, On twisting of
finite dimensional Hopf algebras, J. of Algebra,
256, No. 2 (2002), 484-501.
27) E. Aljadeff and J. Sonn, Projective
Schur groups of iterated power series fields, J.
of Pure and Applied Algebra, vol. 182, No. 2-3 (2003), 109-117.
28) E. Aljadeff,
D. Haile and M. Natapov, Projective bases of division
algebras and groups of central type, Israel J. of Math., vol. 146 (2005),
317-335.
29) E. Aljadeff, Profinite groups, profinite completions and a conjecture of Moore,
Advances in Mathematics,
201, No. 1 (2006), 63-76.
30)
E. Aljadeff, D. Haile and
M. Natapov, On gradings of central simple algebras, "Groups, Rings
and Group rings", edt. By C. Polcino
Milies, A. Giambruno and S.
K. Sehgal, CRC Press, 2006.
31) E. Aljadeff
and C. Kassel, Norm formulas for finite
groups and induction from elementary abelian
subgroups, J. of Algebra, 303, No. 2 (2006), 677-706.
32) E. Aljadeff, J. Sonn and A. R. Wadsworth, Projective
Schur groups over Henselian
fields, J. of Pure and Appl. Algebra, 208, No. 3, (2007), 833-851.
33) E. Aljadeff, On cohomology
rings of infinite groups, J. of Pure and Appl. Algebra, 208, No. 3, (2007)
1099-1102.
34) E. Aljadeff, Y. Ginosar and A.R. Magid, On deformations of crossed
products, J. of Pure and Appl. Algebra, 210, No. 1, (2007) 81-91.
35)
E. Aljadeff and M. Natapov,
On the universal G-graded central simple algebra, Journal Ibero
Americana, Proceedings of the Coloquio Latino
American of Algebra, Colonia, Uruguay, 2005.
36) E. Aljadeff and A. del
37) E. Aljadeff, J. Cuadra,
38) E. Aljadeff
and C. Kassel, Polynomial identities and noncommutative versal torsors, Advances in Mathematics, 218. (208), 1453-1495. (arXiv:0708.4108).
39) E. Aljadeff, D. Haile and M. Natapov, Graded
identities of matrix algebras and the universal graded algebra, Trans.
Amer. Math. Soc. 362
(2010) 3125-3147. arXiv:0710.5568.
40) E. Aljadeff, On the codimension growth of G-graded algebras,
41) Eli Aljadeff and Alexei Kanel-Belov, Representability and Specht
problem for G-graded algebras, Advances in Mathematics 225 (2010), pp.
2391-2428. Math arXiv:0903.0362.
42) E. Aljadeff, Group
graded PI-algebras and their codimension growth.
, Isr. J. Math. (2012), 1--17 (to appear).
43)
E. Aljadeff, Antonio Giambruno and Daniela La Mattina, Graded
polynomial identities and exponential growth, J.
Reine Angew. Math. 650 (2011), 83--100.
44) Eli Aljadeff and
Ehud Meir, Nilpotency of Bocksteins, Kropholler's hierarchy and a conjecture of Moore, Adv. Math. 226 (2011), no. 5.
45) Eli Aljadeff and Alexei Kanel-Belov, Hilbert series of PI relatively free G-graded
algebras are rational functions, to appear in the Bulletin of the London Math
Soc.
46) E. Aljadeff, A. Giambruno, Multialternating
graded polynomials and growth of polynomial
Identities, to appear in
Proc. Amer. Math. Soc.
47) E. Aljadeff and D.
Haile, Simple $G$-graded algebras and their polynomial
Identities, to appear in
Trans. of AMS.
Submitted for publication
48) E. Aljadeff
and Y. Karasik, Crossed products and their
corresponding central polynomials.
Publications in
Medicine
1)
H. Darwish, I.E. Trejo, I. Shapira,
S. Oweineh, M. Sughayer, L.
Baron, E. Aljadeff, M. Silbermann,
W. Sweidan, D. Zilberg, Z. Halpern, H. Hibshoosh, N. Arber,
Fighting colorectal
cancer: molecular epidemiology differences among Ashkenazi
and Sephardic Jews
and Palestinians. Ann Oncol. 2002 Sep; 13 (9);
1497-501. PMID: [PubMed indexed for MEDLINE] 12196377
2)
H. Strul, E. Barenboim, M. Leshno,
M. Gartner, R. Kariv, E. Aljadeff,
Y. Aljadeff, D. Kazanov, L.
Strier, A. Keidar, Y. Knaani, Y. Degani, L. Alon-Baron, H. Sobol-Dvory, Z. Halpern, N. Arber, The I1307K adenomatous
polyposis coli gene variant does not contribute in
the assessment of the risk for colorectal cancer in Ashkenazi Jews: Cancer Epidemiol Biomarkers Prev. 2003 Oct;12(10):1012-5.
PMID:
14578136 [PubMed - indexed for MEDLINE]