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Department
of Algebra,
Institute
of Mathematics
Office:
Building A5 room 101
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Education
Ph.D., 1996, Munich University
B. s., 1992, Moscow State University
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| Permanent
address
Department
of Algebra,
Institute
of Mathematics, VAST
18 Hoang Quoc Viet Road, CauGiay District,
10307, Hanoi, Vietnam
email :
phung@math.ac.vn |
| Fields of Interest
Algebra,
Quantum groups,
Monoidal categories. |
Selected publications
On structure of the quantum supergroup
GLq(m|n), Journal of Algebra, 211(1999), 363-383.
Central bialgebras in braided categories
and coquasitriangular structure, Journal of Pure and Applied Algebra,140(1999),
229-250.
Poincare' series of quantum spaces
associated to Hecke operators, Acta Mathematica Vietnamica, 24(2):
235-246, 1999.
Hecke symmetries, Journal of
Pure and Applied Algebra, 152 (2000), 109-121.
Matrix quantum algebras of type A,
Int. Journal of Math., N.9 (2000) 1115-1146.
The integral on matrix quantum groups
of type A(m|n), Asian Journal of Math. 5, No.4, pp725-743 (2001).
Realisations of quantum hom-spaces,
invariant theory and quantum determinatal ideal, Journal of Algebra
248,50-84(2002).
Splitting comodules over Hopf algebras
and application to representation theory of quantum groups of type A(2|2),
Journal of Algebra, 245, pp 20-51 (2001).
Characters of representations of
quantum groups of type A, Communications in Algebra, 30(3),1085-1117
(2002).
On a theorem of Deligne on characterization
of Tannakian categories, , In: (M. Fried and Y. Ihara, Edrs.) Arithmetic
Fundamental Groups and Non-commutative Algebra, Proc. of Symposia in Pure
Math, AMS, 2002.
An embedding theorem for monoidal
categories, Compositio Math. 132, 27-48, 2002.
(joint work with N. H. Hng) The
uniqueness of integrals on Hopf algebras, preprint Inst. of Math, 2002.
Tannaka-Krein duality for Hopf algebroids,
preprint Inst. of Math., Hanoi, 2002.
The homological determinant of quantum
groups of type A, preprint Inst. of Math., Hanoi, 2002.
(joint work with N.P. Dung) On the
Poincare' series of quadratic algebras associated to Hecke symmetries,
preprint Institute of Mathematics, Hanoi, 2002.
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| Current and Graduated
Students |
| Current Teaching
Associative Rings and Modules
Lie algebras
Tensor algebras |
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Page of the Institute of Mathematics
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