Sorry, no online dictionaries contain the exact phrase representations of lie groups.
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Reverse dictionary results:
1. interosculate
2. figure
3. iconography
4. imagery
5. representation
6. argument
7. figuring
8. cog
9. diverge
10. range
11. ranged
12. ranging
13. romance
14. truth
15. complex
16. controversy
17. family
18. right
19. agreement
20. amphimixis
21. attainable
22. bandsman
23. center
24. cognate
25. conclusion
26. consistent
27. countershading
28. decoy
29. devise
30. devising
31. dinosaur
32. direct
33. directing
34. directionally
35. dissociation
36. dream
37. dreamed
38. dreaming
39. dreamt
40. effigy

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You can look up the words in the phrase individually using these links:   representations ?   of ?   lie ?   groups ?
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