id sid tid token lemma pos 08612n52n9b 1 1 according accord VERB 08612n52n9b 1 2 to to ADP 08612n52n9b 1 3 the the DET 08612n52n9b 1 4 conjecture conjecture NOUN 08612n52n9b 1 5 given give VERB 08612n52n9b 1 6 by by ADP 08612n52n9b 1 7 gekhtman gekhtman NOUN 08612n52n9b 1 8 - - PUNCT 08612n52n9b 1 9 shapiro shapiro PROPN 08612n52n9b 1 10 - - PUNCT 08612n52n9b 1 11 vainshtein vainshtein PROPN 08612n52n9b 1 12 , , PUNCT 08612n52n9b 1 13 each each DET 08612n52n9b 1 14 class class NOUN 08612n52n9b 1 15 in in ADP 08612n52n9b 1 16 the the DET 08612n52n9b 1 17 belavin belavin PROPN 08612n52n9b 1 18 - - PUNCT 08612n52n9b 1 19 drinfeld drinfeld PROPN 08612n52n9b 1 20 classification classification NOUN 08612n52n9b 1 21 of of ADP 08612n52n9b 1 22 poisson poisson NOUN 08612n52n9b 1 23 - - PUNCT 08612n52n9b 1 24 lie lie NOUN 08612n52n9b 1 25 structures structure NOUN 08612n52n9b 1 26 on on ADP 08612n52n9b 1 27 a a DET 08612n52n9b 1 28 semisimple semisimple ADJ 08612n52n9b 1 29 complex complex ADJ 08612n52n9b 1 30 group group NOUN 08612n52n9b 1 31 g g PROPN 08612n52n9b 1 32 corresponds correspond VERB 08612n52n9b 1 33 to to ADP 08612n52n9b 1 34 a a DET 08612n52n9b 1 35 cluster cluster NOUN 08612n52n9b 1 36 structure structure NOUN 08612n52n9b 1 37 in in ADP 08612n52n9b 1 38 o(g o(g PROPN 08612n52n9b 1 39 ) ) PUNCT 08612n52n9b 1 40 . . PUNCT 08612n52n9b 2 1 this this DET 08612n52n9b 2 2 dissertation dissertation NOUN 08612n52n9b 2 3 continues continue VERB 08612n52n9b 2 4 the the DET 08612n52n9b 2 5 study study NOUN 08612n52n9b 2 6 of of ADP 08612n52n9b 2 7 cluster cluster NOUN 08612n52n9b 2 8 structures structure NOUN 08612n52n9b 2 9 in in ADP 08612n52n9b 2 10 the the DET 08612n52n9b 2 11 rings ring NOUN 08612n52n9b 2 12 of of ADP 08612n52n9b 2 13 regular regular ADJ 08612n52n9b 2 14 functions function NOUN 08612n52n9b 2 15 on on ADP 08612n52n9b 2 16 the the DET 08612n52n9b 2 17 affine affine ADJ 08612n52n9b 2 18 space space NOUN 08612n52n9b 2 19 of of ADP 08612n52n9b 2 20 rectangular rectangular ADJ 08612n52n9b 2 21 matrices matrix NOUN 08612n52n9b 2 22 that that PRON 08612n52n9b 2 23 are be AUX 08612n52n9b 2 24 compatible compatible ADJ 08612n52n9b 2 25 with with ADP 08612n52n9b 2 26 poisson poisson NOUN 08612n52n9b 2 27 structures structure NOUN 08612n52n9b 2 28 . . PUNCT 08612n52n9b 3 1 in in ADP 08612n52n9b 3 2 particular particular ADJ 08612n52n9b 3 3 , , PUNCT 08612n52n9b 3 4 we we PRON 08612n52n9b 3 5 construct construct VERB 08612n52n9b 3 6 a a DET 08612n52n9b 3 7 generalized generalized ADJ 08612n52n9b 3 8 cluster cluster NOUN 08612n52n9b 3 9 structure structure NOUN 08612n52n9b 3 10 on on ADP 08612n52n9b 3 11 mat5×7 mat5×7 PROPN 08612n52n9b 3 12 compatible compatible ADJ 08612n52n9b 3 13 with with ADP 08612n52n9b 3 14 the the DET 08612n52n9b 3 15 restriction restriction NOUN 08612n52n9b 3 16 of of ADP 08612n52n9b 3 17 the the DET 08612n52n9b 3 18 cremmer cremmer PROPN 08612n52n9b 3 19 - - PUNCT 08612n52n9b 3 20 gervais gervais PROPN 08612n52n9b 3 21 poisson poisson PROPN 08612n52n9b 3 22 bracket bracket NOUN 08612n52n9b 3 23 on on ADP 08612n52n9b 3 24 gl7 gl7 NOUN 08612n52n9b 3 25 . . PUNCT 08612n52n9b 4 1 we we PRON 08612n52n9b 4 2 also also ADV 08612n52n9b 4 3 provide provide VERB 08612n52n9b 4 4 a a DET 08612n52n9b 4 5 detailed detailed ADJ 08612n52n9b 4 6 description description NOUN 08612n52n9b 4 7 of of ADP 08612n52n9b 4 8 a a DET 08612n52n9b 4 9 conjectural conjectural ADJ 08612n52n9b 4 10 generalized generalized ADJ 08612n52n9b 4 11 cluster cluster NOUN 08612n52n9b 4 12 structure structure NOUN 08612n52n9b 4 13 on on ADP 08612n52n9b 4 14 matm×n matm×n NOUN 08612n52n9b 4 15 compatible compatible ADJ 08612n52n9b 4 16 with with ADP 08612n52n9b 4 17 the the DET 08612n52n9b 4 18 restriction restriction NOUN 08612n52n9b 4 19 of of ADP 08612n52n9b 4 20 the the DET 08612n52n9b 4 21 cremmer cremmer PROPN 08612n52n9b 4 22 - - PUNCT 08612n52n9b 4 23 gervais gervais PROPN 08612n52n9b 4 24 poisson poisson PROPN 08612n52n9b 4 25 bracket bracket PROPN 08612n52n9b 4 26 on on ADP 08612n52n9b 4 27 gln gln PROPN 08612n52n9b 4 28 . . PUNCT