I looked at DimAttributeOMCostCenter and it has the Name field.

How about this Purpose?
Where should I get the Name and Description field?

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It depends.
First of all, it depends on whether you want to values already used as financial dimensions or all values that could be potentially used as dimensions (such as all cost centers).
For example, if you have ten cost centers but only one was used as a dimension, you'll find one record in DimensionAttributeValue table. If you want to see all potential values, you have to look into the table with cost centers (you can use DimAttributeOMCostCenter view for this purpose).
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Thanks!