<s>
A	O
vertex	B-Algorithm
model	I-Algorithm
is	O
a	O
type	O
of	O
statistical	O
mechanics	O
model	O
in	O
which	O
the	O
Boltzmann	O
weights	O
are	O
associated	O
with	O
a	O
vertex	O
in	O
the	O
model	O
(	O
representing	O
an	O
atom	B-Language
or	O
particle	O
)	O
.	O
</s>
<s>
It	O
turns	O
out	O
that	O
every	O
solution	O
of	O
the	O
Yang	O
–	O
Baxter	O
equation	O
with	O
spectral	O
parameters	O
in	O
a	O
tensor	O
product	O
of	O
vector	O
spaces	O
yields	O
an	O
exactly-solvable	O
vertex	B-Algorithm
model	I-Algorithm
.	O
</s>
<s>
Corollary	O
:	O
For	O
an	O
integrable	O
vertex	B-Algorithm
model	I-Algorithm
for	O
which	O
is	O
invertible	O
,	O
the	O
transfer	O
matrix	O
commutes	O
with	O
.	O
</s>
<s>
From	O
the	O
definition	O
of	O
R	O
above	O
,	O
it	O
follows	O
that	O
for	O
every	O
solution	O
of	O
the	O
Yang	O
–	O
Baxter	O
equation	O
in	O
the	O
tensor	O
product	O
of	O
two	O
n-dimensional	O
vector	O
spaces	O
,	O
there	O
is	O
a	O
corresponding	O
2-dimensional	O
solvable	O
vertex	B-Algorithm
model	I-Algorithm
where	O
each	O
of	O
the	O
bonds	O
can	O
be	O
in	O
the	O
possible	O
states	O
,	O
where	O
R	O
is	O
an	O
endomorphism	O
in	O
the	O
space	O
spanned	O
by	O
.	O
</s>
