#############################################################################
##
#F                             CHEVIE library
##
#Y  Copyright 1992--1993,  Lehrstuhl D f"ur Mathematik,    RWTH Aachen,   and
#Y                         IWR   der   Universit"at    Heidelberg,   Germany.
##
#############################################################################
#                                                                           #
#   Die Greenfunktionen der GL_1(q)                                         #
#                                                                           #
#############################################################################
##
#A {\sc }, 
#A 
##
lprint(`**********************************************************************\
****`);
lprint(`*                                                                     \
   *`);
lprint(`*                                                                     \
   *`);
lprint(`*                    Green Functions of GL_1(q)                       \
   *`);
lprint(`*                                                                     \
   *`);
lprint(`*                                                                     \
   *`);
lprint(`**********************************************************************\
****`);

GL1green:=array(-2..1, -1..
5   , [
[ `GL_{1}(q)`,   A0002green   ,   q-1   ,   1   ,   1   ,   1   ,   1   ],
[``, [
], [   [[1]]
] ],
[``, 1
,   1
]
,[   [[1]]   ,   1
,   1
]
]):

KlassentypOrdA0002green:=array(1..1,   [1]   ):
NurPolynomA0002green:=true:
InformationA0002green:=TEXT(
`- Information about the tables of Green functions for GL_1(q).`,
``,
`- CHEVIE-name of the table: GL1green`,
``,
`- These Green functions were introduced in:`,
`  {\\sc J.~A.~Green}, The characters of the finite general linear`,
`  groups, {\\em Trans. Amer. Math. Soc.} {\\bf 80} (1955), 402--447.`,
``,
`- See also:`,
`  {\\sc R.~Steinberg}, The representations of $GL(3,q)$,  $GL(4,q)$, $PGL(3,q\
)$ `,
`  and $PGL(4,q)$, {\\em Can. J. of Math.} {\\bf 3} (1951), 225--235.`,
``,
`- This CHEVIE-table is computed by an algorithm from `,
`  the following article:`,
`  {\\sc A.~Lascoux and M.~P.~Sch{\\"u}tzenberger}, Sur une conjecture de `,
`  H.~O.~Foulkes, {\\em C. R. Acad. Sci. Paris} {\\bf 286A}  (1978), 323--324.\
`,
``,
`- The program which generates the files with the Green functions `,
`  of GL_n(q) and GU_n(q) is part of the CHEVIE-system. You `,
`  can reproduce them with the CHEVIE commands: `,
`  > GreenFunctionsA(n,filename);`,
`  > GreenFunctions2A(n,filename);`,
`  (see the corresponding help)`,
`  These programs are written by U. Porsch and F. Luebeck.`,
``):
g:=GL1green:
print(`g := ``GL1green`` `);
