If a property stands in the name of the mother, then during her lifetime, she has full authority to sell or dispose of that property and retain the sale proceeds. Sons have no legal right to claim any share in such property, if the property is in the name of the mother, during her lifetime. It is her sweet will, whether to give any share to the sons or not to give. A son cannot compel his mother to part with a share of the sale proceeds, under law.
Of course, the sons can sit together with mother for an amicable solution. More so, as you have mentioned that you have spent some money for renovation of the property. In such a situation, generally speaking, the mother may voluntarily agree to compensate you for the money spent by you from the sale proceeds, if you negotiate with the mother and other son in an amicable manner.
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