Sri Maata Sri MahaRaagni Srimad Simhasaneshwari
Chidagni Kunda Sambhuta Deva Kaarya Samudyata ...
begins Lalitha Sahasranamam, possibly the most beautiful set of verses ever written. I always feel a sense of Bhakti when I recite Vishnu Sahasranamam. Of course, as Sankara says, there is no Advaita without Bhakti. With LS, I feel Bhakti too. I also feel a strange Advaitic feeling, that is unique to LS.
Lalitha Sahasranamam is said to be taught by Hayagriva (who is said to be very tall: maybe means a Sthula-Roopa) to Sri Agasthya (who is sais to be very short: probably means a Sukshma-roopa). Maybe we can interpret the physical structures as metaphorical allegories to ParaBrahma and Atma respectively.
The goddess who is being prayed can be considered to be the YogaMaaya herself. In an Advaitic way, the teaching seems to convey that "if you understand the illusion, you will be Brahma. There is no other way for the Atma to be Brahma than throught understanding the nature of Maya/illusion, that drives the world."
This entirely concurs with chapter 7 verse 14 of Srimad Bhagavad Gita, when Sri Krishna says:
Dive Hyesha Guna Mayi Mama Maaya Duratyata
Maame va prapadyante Maayametam Tarantate
[It is impossible to cross the maaya of this world. Only by my grace can you cross it.]
So, we are praying to the Goddess Tripurambika, Lalita devi to help us cross the illusion that is the world.