Publications by Toshiaki SHOJI

On the conjugacy classes of Chevalley groups of type $F_4$, ${}^2F_4$,
$E_6$ (in Japanese). in the proceedings of the 19th workshop on
Algebra session. 1973ˇËp.74  83,
(with K. Shinoda, K. Mizuno).

The conjugacy classes of Chevalley groups of type F_4 over
finite fields of characteristic p \ne 2. J. Fac. Sci. Univ. of Tokyo,
IA, 21 (1974) 1  17.

On the Springer representations of the Weyl groups of classical
algebraic groups. Comm. in Algebra, 7 (1979), 1713  1745, correction:
7 (1979), 2027  2033.

On the Springer representations of Chevalley groups (in Japanese).
RIMS Kokyuroku 344, Finite group theory (1979),
123  140.

Irreducible representatins of finite Chevalley groups (in Japanese).
In the proceedings of the 25th Symposium on Algebra (1979),
150  169.

On the Springer representations of Chevalley groups of type F_4.
Comm. in Algebra, 8 (1980), 409  440.

On the Green polynomials of Chevalley groups of type $F_4$. Comm.
in Algebra, 10 (1982), 503  543.

Green polynomials of finite Chevalley groups (in Japanese).
RIMS Kokyuroku 475,
Finite group theory (1982), 123  139.

On the Green polynomials of classical groups. Inventiones Math.,
74 (1983), 239  267.

Open problems in algebraic groups, Proceedings of the 12th
International Symposium, Taniguchi Foundation, Katata 1983, p.18.

Some generalization of Asai's result for classical groups. In
algebraic groups and related topics, Advanced Studies in Pure Math.,
Vol. 6, Kinokuniya, Tokyo and North Holland, Amsterdam,
(1985), 207  229.

Green functions and related topics (in Japanese). In the proceedings
of the 31st Symposium on Algebra (1985), 131  168.

Shintani descent for exceptional groups over a finite field.
Proceedings of Symposia in Pure Math., A.M.S. 47, Vol 2, (1987)
297  303.

Green functions of reductive groups over a finite field. Proceedings
of Symposia in Pure Math., A.M.S. 47, Vol 1, (1987) 289  301.

Shintani descent for exceptional groups over a finite field.
J. Fac. Sci. Univ. of Tokyo, IA, 34 (1987), 599  653.

Shintani descent for finite algebraic groups (in Japanese).
RIMS Kokyuroku 630,
Group theory and algebraic combinatorail theory
(1987), 117  131.

Geometry of orbits and Springer correspondence. Ast\'erisque 168
(1988), 61  140.

On flag varieties, hyperplane complements and Springer representations
of Weyl groups. J. Australian Math. Soc. 49 Series A (1990), 449  485,
(with G.I. Lehrer).

Springer representations of Weyl groups and cohomologies of
hyperplane complements (in Japanese). RIMS Kokyuroku 735,
Research on combinatorial
theory and related topics (1990), 140  156.

Shintani descent for algebraic groups over a finite field, I.
J. Algebra 145 (1992), 468  524.

Character sheaves and almost characters of finite Chevalley groups
(in Japanese).
RIMS Kokyuroku 794, Group theory and combinatorial mathematics (1992),
105  116.

Character sheaves and almost characters of reductive groups.
Adv. in Math. 111 (1995), 244  313.

Character sheaves and almost characters of reductive groups,
II. Adv. in Math. 111 (1995), 314  354.

Irreducible characters of finite Chevalley groups (in Japanese).
Sugaku 47 (1995), 241  255.

On the computation of unipotent characters of finite
classical groups. Special issue, Computational methods in Lie theory.
Applicable Algebra in Engineering, Communication
and Computing 7 (1996), 165  174.

Represnetation theory of finite Chevalley groups (in Japanese). Surikagaku,
a special issue / Revival of group theory, No. 397, July
(1996), 53  59.

A norm map for endomorphism algebras of GelfandGraev
representaton. In `` finite reductive groups: related structures and
representations,'' Proceedings of an international conference held in
Luminy, Progress in Math. Vol. 141 (1997), 185  194,
(with C.W. Curtis).

Unipotent characters of finite classical groups. In
`` finite reductive groups: related structures and
representations,'' Proceedings of an international conference held in
Luminy, Progress in Math. Vol 141 (1997), 373  413.

Shintani descent for special linear groups (in Japanese).
RIMS Kokyuroku 991, Group theory and combinatrial mathematics (1997),
68  79.

Shintani descent for special linear groups. J. Algebra
199 (1998), 175  228.

Quadratic equations over finite fields and class numbers of
real quadratic fields. Monatshefte f\"ur Mathematik 125 (1998),
279292. (with T. Agoh).

Averages of Green functions of classical groups,
J. Math. Sci. Univ. Tokyo, 5 (1998), 165  220 (with
B. Srinivasan).

Irreducible characters of finite Chevalley groups,
Sugaku expositions, 11 (1998) 19  37.

Length functions and Demazure operators for $G(e,1,n)$, I.
Indag. Math., N.S. 9 (4), (1998), 563580 (with K. Rampetas).

Length functions and Demazure operators for $G(e,1,n)$, II.
Indag. Math., N.S. 9 (4), (1998), 581594 (with K. Rampetas).

Representations of finite Chevalley groups (in Japanese).
In the proceedings of the 14th workshop on "Algebraic combinatiral
theory", (1998), 141  152.

Finite Coxeter groups and unipotent classes  a conjecture of Geck
and Malle (in Japanese). in the proceedings of the workshop on
"Representation
theory of algebraic groups and quantum groups". June 1998, Science
Univ. of Tokyo, Seminar house, 96  109.

SchurWeyl reciprocity for ArikiKoike algebras.
J. Algebra 221, (1999), 293  314 (with M. Sakamoto).

Complex reflection groups and cyclotomic Hecke algebras, in ``Three
Lectures in Algebra'', Sophia Univ. Lecture Notes in Mathematics
No. 41. (1999), 25  55.

A Frobenius formula for the characters of ArikiKoike algebras (in Japanese).
In the proceedings of the 2nd workshop on "Representation theory of
algebraic groups and quantum groups" . 1999 June, Karuizawa Seminar
house, 181  197.

Green functions and a conjecture of Geck and Malle.
Beitra\"ge zur Algebra und Geometrie 41, (2000), 115140.

A Frobenius formula for the characters of ArikiKoike
algebras. J. Algebra 226, (2000), 818856.

Length functions for $G(r,p,n)$. Advanced Studies in
Pure Math. 28, (2000), 327  342.

Conjectures in the 20th century. " Lusztigˇ¦program"  representation
theory of finite Chevalley groups  (in Japanese).
Sugaku Seminar vol. 39, March (2000), 52  56.

Conjectures in the 20th century, A locus of contemporary
mathematics (in Japanese). edited by Sugaku Seminar editors, Nihonhyoronsha
(2000), 130  140.

A combinatorial approach to Green polynomials of classical groups.
in the Proceedings of ```Representation Theory of Finite and Algebraic
groups'', edited by N. Kawanaka et.al., Osaka University, (2000)
188  199.

Representation theory of finite Chevalley groups.
in the Proceedings of ``Representation Theory of Finite and Algebraic
groups'', edited by N. Kawanaka et.al., Osaka University, (2000)
70  88.

On Green functions assocaited to complex reflection groups (in Japanese).
In the proceedings of the 44th Symposium on Algebra, August 2000,
Kyushu Univ. pp. 221  240.

Green functions associated to complex reflection groups  centering
the case of $D_n$ , (in Japanese). RIMS Kokyuroku,
Topics related to combinatorial representation theory, 2001,
107  125.

Green functions associated to complex reflection groups,
$G(e,1,n)$.
In ``Physics and Combinatorics 2000'',
Proceedings of the Nagoya 2000 International Workshop,
World Scientific (2001), 281298.

Representations of finite Chevalley groups.
Advanced Studies in Pure Math. 32, (2001), 369378.

Green functions associated to complex reflection groups.
J. Algebra. 245, (2001), 650  694.

KazhdanLusztig basis of Hecke algebras of type B and canonical basis
of quantum groups of type A. In the proceedings of the 4th workshop on
"Representation theory of Algebraic groups and Quantum groups'',
(2001), 41  55. (In Japanese, with K. Ohkura)

Green functions associated to complex reflection groups.
Sugaku, 54, (2002), 69  85. (In Japanese).

Green functions associated to complex reflection groups, II.
J. of Algebra. 258, (2002), 563  598. RT/0105053

On certain bases for ArikiKoike algebras arising from canonical bases
for $U_v(sl_m)$. SUT J. of Math., 38, (2002), 145  173. (With
K. Ohkura).

Macdonald functions associated to complex reflection
groups. J. Alg. 260, (2003), 426448.
(DVI,
PostScript) QA/0208061

Generalized Green functions, unipotent classes and graded Hecke
algebras. (In Japanese) RIMS Kokyuroku, Combinatorial theoretic
representation theory and related topics (2003), 154  168.

The work of Susumu ArikiA new interaction between
Hecke algebras and quantum groups  (in Japanese) Sugaku
56 (2004) 194  199.
(DVI,
PostScript)

Green functions attached to limit symbols. Adv. Studies in Pure Math.
40, "Representation theory of algebraic groups and quantum groups",
pp.443  467 (2004).

Lusztig's conjecture for special linear groups.
(in Japanese) RIMS Kokyuroku,
"Aspects of the combinatorial representation theory".
(2004), 80  89.
(PDF,
PostScript)

Subfield symmetric spaces for finite
special linear grouups.
Representation theory, an Electronic J. of AMS, 8
(2004) 487  521 (with K. Sorlin).
(PDF,
PostScript)

Encyclopedia in Algebra I, The evolution of the group
theory, Chapter 3, Visiting the DeligneLusztig
characters  Representation theory of finite Chevalley
groups , pp.185  326, (with Hotta,
Watanabe, and Mimachi), (in Japanese).
Asakura, Tokyo (2004)

Modified ArikiKoike algebras and cyclotomic
$q$Schur algebras,
Math. Z. 249, (2005) 829867 (with N. Sawada).
(DVI,
PostScript)

Flash beams in representation theroy  seven stories
centering Hecke algebras  (in Japanese) SuuriKagaku,
December 2005, 15  21.

On Green functions associated to complex reflection groups.
Sugaku Expositions 18, (2005) 123141.

Symmetric space associated to special linear groups,
Proceedings of the conference on groups and Lie algebras,
Sophia Univ. Lecture series on mathematics, No. 46, (2006),
119  137.

Green functions and Macdonald functions associated
to complex reflection groups. Preprint.
To appear in the proceedings of the "Conference in Algebras" held in
Ateneo de Manila Univesity, 2002.

Lusztig's conjecture for finite special linear groups.
Representation Theory 10 (2006) 164  222.
(PDF,
PostScript)

SchurWeyl reciprocity between quantum groups and
Hecke algerbas of type $G(p,p,n)$. (with J. Hu)
J. of Algebra, 298 (2006), 215  237.

On the computation of irreducible characters of finite reductive groups.
RIMS Kokyuroku :" The world of combinatorial representation theory" (2006) 140  153.

Generalized Green functions and unipotent classes
for finite reductive groups, I.
To appear in Nagoya Math. J.
(PDF,
PostScript)

A variant of the induction theorem for
Springer representations,
(revised in July, 2006). To appear in J. of Algebra.
(PDF,
PostScript)

Generalized Green functions and unipotent classes
for finite reductive groups, II.
Preprint.
(PDF,
PostScript)