Hebing Rui
I am a Professor in the Department of Mathematics at the East China Normal University.
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Address：
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Hebing
Rui
Department of Mathematics
East China Normal University,
Shanghai,
200062.
P.R. China
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Office：
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Room
329, Math. Building,
Minghang
Campus
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Phone
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+86-21-54345060
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Fax:
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+86-21-54345060
(Fax)
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E-mail:
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hbrui@math.ecnu.edu.cn
hebingrui@gmail.com
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Representations of the Iwahori-Hecke algebras,
q-Schur algebras and its generalizations; Kazhdan-Lusztig theory, etc.
Other active interests include:
- Cyclotomic Hecke algebras, complex reflection groups, toroidal
symmetry groups.
- The q-Schur algebras and cyclotomic q-Schur algebras,
double cyclotomic Schur algebras.
- The theory of cellular algebras and standardly based algebras.
- Digram algebras arising from knot theory
- Coxeter groups, Kazhdan-Lusztig cell theory etc.
Papers:
- The quantized walled Brauer algebra, (with L.
Song) preprint, 2011.
- Non-Vanishing Gram determinants for cyclotomic NM and BMW algebras,
(with M. Si) J. Algebra, 2011.
- Singular parameters for the Birman-Murakami-Wenzl algebra,(with M.
Si) J. Pure and Applied Algebra, to appear
- Quantum Schur superalgebras and Kazhdan-Lusztig combinatorics, (with J.
Du) J. Pure and Applied Algebra, 2011, .
- Blocks of Birman-Murakami-Wenzl algebras‚ (with M. Si) International Mathematics Research Notes‚ Vol. 2011 (2): 452-486.
- The representations of cyclotomic BMW algebras‚ II ‚ (with M.
Si)‚ Algebra and Representation Theory, to
appear
- The representations of cyclotomic BMW algebras‚ (with J. Xu)‚ J. Pure and Applied Algebra‚ 213, (2009), 2262-2288.
- Gram determinants and semisimple criteria for
Birman-Murakami-Wenzl algebras‚ (with M.
Si)‚ J. Reine. Angew. Math.‚ 631, (2009) 153-180.
- On the structures of cyclotomic Nazarov-Wenzl algebras‚ (with M. Si)‚ J. Pure and Applied Algebra‚ 212, no. 10, (2008), 2209-2235.
- Discriminants of Brauer algebras (with M.
Si)‚ Math. Zeit. 258‚
no.4‚ (2008)‚ 925-944
- On the semisimplicity of the
cyclotomic Brauer algebras‚ II (with J. Xu)‚ J. Algebra‚ 312 (2007)
995-1010.
- Cyclotomic q-Schur algebras and
Schur-Weyl duality‚ （with Z.
Lin） Comtemp. Math. 413‚ (2006)‚ 133—155.
- Cyclotomic Nazarov-Wenzl algebras‚ （with S.
Ariki and A. Mathas） Nagoya Math. Journal (Special volume on
G. Lusztig’s sixty birthday)‚ vol. 182 (2006) 47-134.
- A criterion on the semisimple Brauer algebras‚II （with
M.Si） J. Comb. Theory‚Ser.
A. vol 113‚ (2006) 1199—1203
- Markov traces on cyclotomic Temperley-Lieb algebras‚ Proc‚ Amer. Math. Soc. 2006‚ 134 (2006)‚ no.10‚ 2873-2880.
- A criterion on the semisimple Brauer algebras‚ J. Comb. Theory‚ Ser. A. 111 (2005) 78—88
- Double cyclotomic symmetric groups‚ (with X. Wang) J.
Algebra‚ 288 （2005）241—262
- On the semisimplicity of cyclotomic Temperley-Lieb algebras‚ (with C.Xi and W.Yu) Michigan Math. J. 53 (2005)‚ no. 1‚ 83–96
- The representation theory of the cyclotomic Temperley-Lieb
algebras‚ (with
C.Xi)‚ Comment. Math. Helv. 79 (2004)‚ no. 2‚ 427--450.
- On the semisimplicity of
cyclotomic Brauer algebras‚ (with W.Yu)‚
J. Algebra‚ 277 (2004)‚ 187-221.
- Specht modules for Ariki-Koike
algebras‚ (with
J.Du)‚ Comm. Algebra‚ 29‚ (2001)‚
4701-4719.
- Weights of Markov traces on
cyclotomic Hecke algebra‚ J. Algebra‚ 238 (2001)‚ 762-775
- Ariki-Koike algebras with
semisimple bottoms‚ (with J.
Du)‚ Math. Zeit.‚ 234‚ (2000)‚ 807-830.
- Borel type subalgebras of the q-Schur^m algebras‚ (with J.Du)‚ J. Algebra‚ 213
(1999)‚ 567-595
- On endomorphism algebras arising from Hecke algebras‚ J. Algebra‚ 214‚ (1999)‚
342-355.
- Based algebras and standard bases for quasi-hereditary
algebras‚ (with J.Du )
Trans. Amer. Math. Soc.‚
350‚ (1998)‚
3207-3235.
- On endomorphism algebras arising from multi-parameter Hecke
algebras‚
J. Algebra‚ 195‚
(1997)‚ 308-319.
- Left Cells in affine Weyl groups of types other than \tilde
A_{n-1} and \tilde G_2. J.
Algebra‚ 175(1995)‚
732-756.
- On the joint relations between two subsets D_0 and D_1 in
W_a(\tilde A_{n-1})‚
Northeast Math. J. 10 (2)‚ (1994)‚ 181-189.
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