<s>
In	O
algebra	O
,	O
Solomon	B-Algorithm
's	I-Algorithm
descent	I-Algorithm
algebra	I-Algorithm
of	O
a	O
Coxeter	B-Algorithm
group	I-Algorithm
is	O
a	O
subalgebra	O
of	O
the	O
integral	O
group	O
ring	O
of	O
the	O
Coxeter	B-Algorithm
group	I-Algorithm
,	O
introduced	O
by	O
.	O
</s>
<s>
In	O
the	O
special	O
case	O
of	O
the	O
symmetric	B-Algorithm
group	I-Algorithm
Sn	O
,	O
the	O
descent	B-Algorithm
algebra	I-Algorithm
is	O
given	O
by	O
the	O
elements	O
of	O
the	O
group	O
ring	O
such	O
that	O
permutations	O
with	O
the	O
same	O
descent	O
set	O
have	O
the	O
same	O
coefficients	O
.	O
</s>
<s>
The	O
descent	B-Algorithm
algebra	I-Algorithm
of	O
the	O
symmetric	B-Algorithm
group	I-Algorithm
Sn	O
has	O
dimension	O
2n-1	O
.	O
</s>
