join of value lists in postgres

I need to join two value lists in postgres.
I tried the following but it does not work;

select a.*,b.* from (values('a'),('b')) as a join (values('1'),('2'),('3')) as b ;

What should I write instead ;
The result should be a table of 6 values.

>Solution :

I assume you want to cross join values so that you will get 6 values.

select
    a.*,
    b.* 
  from (values('a'),('b')) as a (a),  
  (values('1'),('2'),('3')) as b (b);

a | b
--|--
a | 1
b | 1
a | 2
b | 2
a | 3
b | 3

Here is another statement with same result (with join clause)

select
    a.*,
    b.* 
  from (values('a'),('b')) as a (a)
  cross join (values('1'),('2'),('3')) as b (b);