I am a Professor in the Department of Mathematics at the East China Normal University.
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Representations of the Iwahori-Hecke algebras, q-Schur
algebras and its generalizations; Kazhdan-Lusztig
theory, etc.
Other active interests include:
Papers:
Ø Mixed Schur-Weyl
duality between general linear Lie algebras and cyclotomic
walled Brauer algebras, (with L. Song), preprint, 2015.
Ø Decomposition matrices of Birman-Murakami-Wenzl algebras, (with L. Song), J.
Algebra, to appear.
Ø Affine walled Brauer
algebras and super Schur-Weyl duality, (with Y. Su), Adv. Math., to appear.
Ø Highest weight vectors of mixed tensor
product of general linear Lie superalgebras, (with Y. Su) Transformation Groups, in press.
Ø Decomposition numbers of quantized walled Brauer algebras, (with L. Song), Math. Zeit, 280,
(2015), no.
3--4, 669--689.
Ø The representations of quantized walled Brauer algebra, (with L. Song), J.Pure Appl.Algebra,219 (2015) 1496--1518
Ø On the classification of finite dimensional
irreducible modules for affine BMW algebras, Math.Zeit., 275 (2013), no. 1-2,389--401.
Ø Singular parameters for the
Birman-Murakami-Wenzl algebra,(with M. Si) J.Pure Appl.Algebra,216,2012,
1295-1305.
Ø The representations of cyclotomic
BMW algebras‚ II ‚ (with
M. Si)‚ Algebra and
Representation Theory, vol.15, no.3 (2012), 551-579.
Ø Blocks of Birman-Murakami-Wenzl algebras‚ (with M.
Si) International Mathematics
Research Notes‚ vol. 2011
(2): 452-486.
Ø Non-Vanishing Gram determinants for cyclotomic NM and BMW algebras, (with M. Si) J. Algebra, 336 (2011)188-219.
Ø Quantum Schur superalgebras and Kazhdan-Lusztig
combinatorics, (with J. Du) J.
Pure Appl.Algebra, 335,(2011),188-219.
Ø Gram determinants and semisimple
criteria for Birman-Murakami-Wenzl algebras‚ (with M. Si)‚ J.Reine.Angew.Math.‚631,2009,153-180.
Ø The representations of cyclotomic
BMW algebras‚ (with J. Xu)‚ J.
Pure Appl. Algebra‚ 213, (2009), 2262-2288.
Ø Discriminants of Brauer
algebras (with M.
Si)‚ Math. Zeit., 258‚ no.4‚ (2008)‚ 925-944.
Ø On the structures of cyclotomic
Nazarov-Wenzl algebras‚ (with M.
Si)‚ J. Pure Appl. Algebra‚ 212, no.10, (2008), 2209-2235.
Ø On
the semisimplicity of the cyclotomic
Brauer algebras‚ II (with J. Xu)‚ J. Algebra‚ 312 (2007) 995-1010.
Ø Cyclotomic q-Schur
algebras and Schur-Weyl duality‚ (with Z. Lin) Comtemp. Math. 413‚ (2006)‚ 133—155.
Ø 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.
Ø A criterion on the semisimple
Brauer algebras‚II (with M.Si) J. Comb.Theory‚Ser. A. vol 113‚
(2006) 1199—1203.
Ø Markov traces on cyclotomic
Temperley-Lieb algebras‚ Proc‚ Amer. Math. Soc. 2006‚ 134 (2006)‚ no.10‚ 2873-2880.
Ø A criterion on the semisimple
Brauer algebras‚ J. Comb.Theory‚
Ser. A. 111 (2005) 78—88.
Ø Double cyclotomic
symmetric groups‚ (with X. Wang) J. Algebra‚ 288 (2005)241—262.
Ø On the semisimplicity
of cyclotomic Temperley-Lieb
algebras‚ (with C.Xi and W.Yu)
Michigan Math. J.
53 (2005)‚ no. 1‚ 83—96.
Ø The representation theory of the cyclotomic Temperley-Lieb
algebras‚ (with C.Xi)‚ Comment. Math. Helvitci. 79 (2004)‚ no. 2‚ 427--450.
Ø On
the semisimplicity of cyclotomic
Brauer algebras‚ (with W.Yu)‚ J. Algebra‚ 277
(2004)‚ 187-221.
Ø Specht
modules for Ariki-Koike algebras‚ (with J.Du)‚ Comm.
Algebra‚ 29‚ (2001)‚ 4701-4719.
Ø Weights
of Markov traces on cyclotomic Hecke
algebra‚ J. Algebra‚ 238
(2001)‚ 762-775.
Ø Ariki-Koike
algebras with semisimple bottoms‚ (with J. Du)‚ Math. Zeit.‚ 234‚
(2000)‚
807-830.
Ø Borel type subalgebras
of the q-Schur^m algebras‚ (with J.Du)‚ J. Algebra‚ 213 (1999)‚ 567-595.
Ø On endomorphism algebras arising from Hecke algebras‚ J. Algebra‚ 214‚
(1999)‚ 342-355.
Ø Based algebras and standard bases for
quasi-hereditary algebras‚ (with J.Du ) Trans. Amer. Math. Soc.‚ 350‚(1998)‚ 3207-3235.
Ø On endomorphism algebras arising from
multi-parameter Hecke algebras‚ J. Algebra‚ 195‚ (1997)‚ 308-319.
Ø Left Cells in affine Weyl groups of types other
than \tilde A_{n-1} and \tilde G_2.
J.Algebra‚ 175(1995)‚ 732-756.
Ø 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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