Is capital punishment allowed in hinduism for abuse?

Question

From Wikipedia-

In the Mahabharata, Shishupala's mother was given a vow by Krishna, her nephew, that he would pardon his cousin Shishupala for a hundred offenses. When Yudhishthira underwent the Rajasuya Yajna, he sent Bhima to obtain the fealty of Shishupala, now king after his father's death. Shishupala accepted Yudhishthira's supremacy with no protest, and was invited to the final ceremony at Indraprastha.

At that event, the Pandavas decided that Krishna would be their honored guest. At that time Shishupala insulted Krishna as a cowherd and worthless to be honoured as a king.[2] At the same event, he committed his 100th sin and was pardoned by Krishna. On insulting him again, which was considered as the 101st sin, Krishna released his Sudarshana Chakra on him and killed him on the spot.

Answer 1

The answer to the question in the title is NO.

There are punishments given for verbal abuses in the Manu Smriti but those are not death penalty.

The punishments are based on the Varnas of the persons involved.

In most of the cases the penalty is just a fine as sanctioned by the king of the state. The only case where the punishment is severe is where a Sudra abuses a Brahmin or a Kshatriya. If a Sudra abuses a Vaishya then also the penalty is just a fine. So, death penalties, as punishments for abuse, are not sanctioned/mentioned in the scriptures.

See the following verses:

Manu Smriti 8.270. A once-born man (a Sudra), who insults a twice-born man with gross invective, shall have his tongue cut out; for he is of low origin

Manu Smriti 8.276. (For mutual abuse) by a Brahmana and a Kshatriya a fine must be imposed by a discerning (king), on the Brahmana the lowest amercement, but on the Kshatriya the middlemost.

Manu Smriti 8.277. A Vaisya and a Sudra must be punished exactly in the same manner according to their respective castes, but the tongue (of the Sudra) shall not be cut out; that is the decision.

The case of Shishupala was however entirely different. He was a Kshatriya just like was Sri Krishna. And Sri Krishna killing Shishupala was not a punishment for abuse because such punishments are not sanctioned and moreover Sri Krishna was not the king of that state where that incident was occurring.