id sid tid token lemma pos 6m311n81t0n 1 1 over over ADP 6m311n81t0n 1 2 the the DET 6m311n81t0n 1 3 last last ADJ 6m311n81t0n 1 4 half half ADJ 6m311n81t0n 1 5 - - PUNCT 6m311n81t0n 1 6 century century NOUN 6m311n81t0n 1 7 mathematicians mathematician NOUN 6m311n81t0n 1 8 and and CCONJ 6m311n81t0n 1 9 physicists physicist NOUN 6m311n81t0n 1 10 alike alike ADV 6m311n81t0n 1 11 have have AUX 6m311n81t0n 1 12 done do VERB 6m311n81t0n 1 13 quite quite DET 6m311n81t0n 1 14 a a DET 6m311n81t0n 1 15 bit bit NOUN 6m311n81t0n 1 16 of of ADP 6m311n81t0n 1 17 work work NOUN 6m311n81t0n 1 18 on on ADP 6m311n81t0n 1 19 the the DET 6m311n81t0n 1 20 problem problem NOUN 6m311n81t0n 1 21 of of ADP 6m311n81t0n 1 22 quantization quantization NOUN 6m311n81t0n 1 23 commutes commute NOUN 6m311n81t0n 1 24 with with ADP 6m311n81t0n 1 25 reduction reduction NOUN 6m311n81t0n 1 26 and and CCONJ 6m311n81t0n 1 27 its its PRON 6m311n81t0n 1 28 generalizations generalization NOUN 6m311n81t0n 1 29 . . PUNCT 6m311n81t0n 2 1 it it PRON 6m311n81t0n 2 2 turns turn VERB 6m311n81t0n 2 3 out out ADP 6m311n81t0n 2 4 that that SCONJ 6m311n81t0n 2 5 in in ADP 6m311n81t0n 2 6 general general ADJ 6m311n81t0n 2 7 quantization quantization NOUN 6m311n81t0n 2 8 commutes commute NOUN 6m311n81t0n 2 9 with with ADP 6m311n81t0n 2 10 reduction reduction NOUN 6m311n81t0n 2 11 , , PUNCT 6m311n81t0n 2 12 but but CCONJ 6m311n81t0n 2 13 only only ADV 6m311n81t0n 2 14 weakly weakly ADJ 6m311n81t0n 2 15 ; ; PUNCT 6m311n81t0n 2 16 that that PRON 6m311n81t0n 2 17 is be AUX 6m311n81t0n 2 18 the the DET 6m311n81t0n 2 19 map map NOUN 6m311n81t0n 2 20 between between ADP 6m311n81t0n 2 21 the the DET 6m311n81t0n 2 22 first first ADV 6m311n81t0n 2 23 - - PUNCT 6m311n81t0n 2 24 quantized quantize VERB 6m311n81t0n 2 25 - - PUNCT 6m311n81t0n 2 26 then then ADV 6m311n81t0n 2 27 - - PUNCT 6m311n81t0n 2 28 reduced reduce VERB 6m311n81t0n 2 29 space space NOUN 6m311n81t0n 2 30 and and CCONJ 6m311n81t0n 2 31 the the DET 6m311n81t0n 2 32 first first ADV 6m311n81t0n 2 33 - - PUNCT 6m311n81t0n 2 34 reduced reduce VERB 6m311n81t0n 2 35 - - PUNCT 6m311n81t0n 2 36 then then ADV 6m311n81t0n 2 37 - - PUNCT 6m311n81t0n 2 38 quantized quantize VERB 6m311n81t0n 2 39 space space NOUN 6m311n81t0n 2 40 is be AUX 6m311n81t0n 2 41 only only ADV 6m311n81t0n 2 42 a a DET 6m311n81t0n 2 43 vector vector NOUN 6m311n81t0n 2 44 isomorphism isomorphism NOUN 6m311n81t0n 2 45 , , PUNCT 6m311n81t0n 2 46 not not PART 6m311n81t0n 2 47 necessarily necessarily ADV 6m311n81t0n 2 48 unitary unitary ADJ 6m311n81t0n 2 49 and and CCONJ 6m311n81t0n 2 50 therefore therefore ADV 6m311n81t0n 2 51 respecting respect VERB 6m311n81t0n 2 52 the the DET 6m311n81t0n 2 53 physically physically ADV 6m311n81t0n 2 54 relevant relevant ADJ 6m311n81t0n 2 55 inner inner ADJ 6m311n81t0n 2 56 product product NOUN 6m311n81t0n 2 57 . . PUNCT 6m311n81t0n 3 1 in in ADP 6m311n81t0n 3 2 this this DET 6m311n81t0n 3 3 dissertation dissertation NOUN 6m311n81t0n 3 4 we we PRON 6m311n81t0n 3 5 use use VERB 6m311n81t0n 3 6 the the DET 6m311n81t0n 3 7 techniques technique NOUN 6m311n81t0n 3 8 developed develop VERB 6m311n81t0n 3 9 by by ADP 6m311n81t0n 3 10 hall hall NOUN 6m311n81t0n 3 11 and and CCONJ 6m311n81t0n 3 12 kirwin kirwin PROPN 6m311n81t0n 3 13 to to PART 6m311n81t0n 3 14 show show VERB 6m311n81t0n 3 15 that that SCONJ 6m311n81t0n 3 16 if if SCONJ 6m311n81t0n 3 17 our our PRON 6m311n81t0n 3 18 starting starting NOUN 6m311n81t0n 3 19 manifold manifold NOUN 6m311n81t0n 3 20 is be AUX 6m311n81t0n 3 21 a a DET 6m311n81t0n 3 22 compact compact ADJ 6m311n81t0n 3 23 , , PUNCT 6m311n81t0n 3 24 simply simply ADV 6m311n81t0n 3 25 connected connect VERB 6m311n81t0n 3 26 lie lie NOUN 6m311n81t0n 3 27 group group NOUN 6m311n81t0n 3 28 under under ADP 6m311n81t0n 3 29 the the DET 6m311n81t0n 3 30 adjoint adjoint ADJ 6m311n81t0n 3 31 action action NOUN 6m311n81t0n 3 32 , , PUNCT 6m311n81t0n 3 33 then then ADV 6m311n81t0n 3 34 the the DET 6m311n81t0n 3 35 map map NOUN 6m311n81t0n 3 36 we we PRON 6m311n81t0n 3 37 get get VERB 6m311n81t0n 3 38 is be AUX 6m311n81t0n 3 39 , , PUNCT 6m311n81t0n 3 40 in in ADP 6m311n81t0n 3 41 fact fact NOUN 6m311n81t0n 3 42 , , PUNCT 6m311n81t0n 3 43 unitary unitary ADJ 6m311n81t0n 3 44 . . PUNCT