Let’s look at important things here –
Sun - Sun represents Personality, King, Government, Father, Authority, Career, Top Positions, Ego, Self Esteem, Health, Education etc.
Jyeshtha Nakshatra - It is a nakshatra of feeling better or higher than others. It represents orderly and justifiable people. It is the most closely connected nakshatra with occult and mystic. For more info on Jyeshtha Nakshatra - https://www.astrosaxena.com/jyeshtnaksh.
Scorpio - As Jyeshtha is a part of Scorpio, Scorpio sign and its representations also become important. Scorpio is the 8th sign of zodiac belt, hence it represents the things and energy related with 8th house of horoscope like Sudden Events, Secrecy, Dark World, Occult Science, Research, Inheritance, Serving Others, Taxes etc. Besides these things sign of Scorpio also represent transformation, means changing the whole nature upside down. This is one sign which is favorite of every Astrologer, because it has maximum secrets, so every astrologer gets maximum scope of researching. This is sign about which no one can tell with precision that what will happen to the planets in it, as it is sign of secrecy itself. Wherever Scorpio falls in your chart, you may have had biggest challenges in making things related with that house more stable. Scorpio is also one of those unique signs which has 2 rulers, i.e. Mars and Ketu. In Western Astrology, Pluto also co-rules Scorpio. All this makes Scorpio a chaotic sign. Scorpio consists of next set of 2 and half nakshatras, i.e. Vishakha, Anuradha and Jyeshtha.
Mercury - As Mercury rules Jyeshtha, Mercury's position and dignity is important to know about the overall functioning of any planet in Jyeshtha.
Mars-Ketu - As Mars-Ketu rules Scorpio, their position and dignity is important to know about the overall functioning of any planet in Jyeshtha/Scorpio.
Houses Involved – Also, we can’t afford to forget the houses involved as a planet can be ruling different houses and sitting in different house for every person as per ascendant and planet’s position. To know overall affect, we have to consider the houses involved as those areas of life are being impacted.
Interpretation of Sun in Jyeshtha Nakshatra – If Sun is in Jyeshtha nakshatra, 1st of all these people can be inclined towards getting high authoritative positions. It is because Jyeshtha means the eldest or highest and Sun itself represents authority. Actually, they can be seen as egoist or proud people or bosses who keep ego of their position and status. We can say that getting a high authority is important for them to sustain their ego. Then they can be very orderly people. Like, they would like to do things in order and everyone having a fair opportunity. They are very justifiable. As a person in high authority, they want to rule over people in lower authority but through fairness and justifiable reasons. They can be seen as good managers and good at taking work out of people. At the same time, as Sun is still in Scorpio sign where no planet is stable, they can get into those type of people in early life who hurt their ego. Jyeshtha is closest nakshatra to occult side of life as it is represented by a mystical symbol Round Talisman. Hence, they can become good authority in the field of occult side of career. It also shows a kind of hidden side to their personality. Overall, a good position of Sun to gain higher authorities in any field but need to check the ego.
Role of Mercury – Mercury placement is important to guide Sun in right direction, being Jyeshtha's lord.
Role of Mars-Ketu - Also, Mars-Ketu placement is important to guide Sun in right direction, being Scorpio lord.
Other Factors – And of course, we need to consider conjunction, aspects, house lordship, house position and dashas etc to know the exact results of Sun in Jyeshtha. So, we always need to take a holistic view of chart rather than just 1 planetary position.
Conclusion – So, this is how I see Sun in Jyeshtha can work in a chart.
Hope this helps. Please post any comment or query you may have.