Hebing Rui

I am a Professor in the Department of Mathematics at the East China Normal University.

　

 

Address：

Hebing Rui
Department of Mathematics 
East China Normal University,

Shanghai, 200062.
P.R. China

Office：

Room 329, Math. Building, 

Minghang Campus

Phone

+86-21-54345060

Fax:

+86-21-54345060 (Fax)

E-mail:

hbrui@math.ecnu.edu.cn

hebingrui@gmail.com

Research Interests

Representations of the Iwahori-Hecke algebras, q-Schur algebras and its generalizations; Kazhdan-Lusztig theory, etc.

Other active interests include:

Publications

Preprints

l  Blocks of Birman-Murakami-Wenzl algebras, (with M. Si ), preprint,2009.

l  Blocks of cyclotomic Nazarov-Wenzl, Birman-Murakami-Wenzl algebras, (with M. Si ), to appear

l  The representations of cyclotomic BMW algebras, II, (with M. Si), preprint, 2008

Papers

l  The representations of cyclotomic BMW algebras, ( with J. Xu ), J. Pure and Applied Algebra, 213 (2009) 2262-2288

l  Gram determinants and semisimple criteria for Birman-Murakami-Wenzl algebras, (with M. Si), J. Reine. Angew. Math.,  631,(2009) 153-180.

l  On the structures of cyclotomic Nazarov-Wenzl algebras, (with M. Si), J. Pure and Applied Algebra, vol. 212, no.10, (2008) 2209—2235.

l  Discriminants of Brauer algebras (with M. Si), Math. Zeit. 258， no.4, (2008), 925-944

l  On the semisimplicity of the cyclotomic Brauer algebras, II (with J. Xu), J. Algebra,  312 (2007) 995-1010.

l  Cyclotomic q-Schur algebras and Schur-Weyl duality,  （with Z. Lin） Comtemp. Math. 413, (2006), 133—155.

l  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.

l  A criterion on the semisimple Brauer algebras,II （with M.Si） J. Comb. Theory，Ser. A. vol 113, (2006)  1199—1203

l       Markov traces on cyclotomic Temperley-Lieb algebras, Proc, Amer. Math. Soc. 2006,  134 (2006), no.10, 2873-2880.

l       A criterion on the semisimple Brauer algebras, J. Comb. Theory, Ser. A. 111 (2005) 78—88

l       Double cyclotomic symmetric groups, (with  X. Wang) J. Algebra, 288 （2005）241—262.

l       On the semisimplicity of cyclotomic Temperley-Lieb algebras, (with  C.Xi and W.Yu)  Michigan Math. J.  53 (2005), no. 1, 83–96

l       The representation theory of the cyclotomic Temperley-Lieb algebras,   (with C.Xi), Comment. Math. Helv. 79 (2004), no. 2, 427--450.

l       On the semisimplicity of cyclotomic Brauer algebras, (with  W.Yu),  J. Algebra, 277 (2004), 187-221.

l       Specht modules for Ariki-Koike algebras,  (with J.Du), Comm. Algebra, 29, (2001), 4701-4719.

l       Weights of Markov traces on cyclotomic Hecke algebra, J. Algebra, 238 (2001), 762-775.

l       Ariki-Koike algebras with semisimple bottoms,  (with  J. Du), Math. Zeit., 234, (2000), 807-830.

l       Borel type subalgebras of the q-Schur^m algebras, (with J.Du), J. Algebra, 213 (1999), 567-595

l       On endomorphism algebras arising from Hecke algebras,   J. Algebra, 214, (1999), 342-355.

l       Based algebras and standard bases for quasi-hereditary algebras, (with J.Du ) Trans. Amer. Math. Soc.,  350, (1998), 3207-3235.

l       On endomorphism algebras arising from multi-parameter Hecke algebras,  J. Algebra, 195, (1997), 308-319.

l  Left Cells in affine Weyl groups of types other than \tilde A_{n-1} and \tilde G_2.  J. Algebra, 175(1995), 732-756.

l  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.

 

 

 

 

Some interesting links

 

 

 

 

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