Window functions and more “local” aggregation

Question

Suppose I have this table:

select * from window_test;

 k | v
---+---
 a | 1
 a | 2
 b | 3
 a | 4

Ultimately I want to get:

Answer 1

This returns your desired result with the sample data. Not sure if it will work for real world data:

select k, 
       min(v) over (partition by group_nr) as min_v,
       max(v) over (partition by group_nr) as max_v
from (
    select *,
           sum(group_flag) over (order by v,k) as group_nr
    from (
    select *,
           case
              when lag(k) over (order by v) = k then null
              else 1
            end as group_flag
    from window_test
    ) t1
) t2
order by min_v;

I left out the DISTINCT though.