Sorry, no online dictionaries contain the exact phrase symmetric lie algebra.
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Reverse dictionary results:
1. axis
2. power
3. powered
4. shadow
5. shadowed
6. side
7. square
8. bilateral
9. echinoderm
10. multiprocessing
11. symmetry
12. smp
13. boson
14. fraction
15. transpose
16. transposed
17. linear
18. cover
19. cross
20. march
21. range
22. ranged
23. ranging
24. skew
25. tease
26. vanity
27. prismatoid
28. barrier reef
29. carnac
30. cell
31. cephalopod
32. cobra
33. conformable
34. correlate
35. couple
36. diatom
37. dorsal
38. dressing table
39. equatorially
40. figure

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You can look up the words in the phrase individually using these links:   symmetric ?   lie ?   algebra ?
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