Publication Information

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'https://openalex.org/W2088544526', 'https://openalex.org/W163171588'], 'abstract_inverted_index': {'ROGER': [0], 'HOWE': [1], "'Y": [2, 22], 'oo': [3, 23], '.Denote': [4], 'by': [5, 17], '.9l(£,w)': [6], 'the': [7, 66, 86, 108, 125, 138], 'set': [8, 131], 'of': [9, 11, 21, 90, 110, 116], 'elements': [10], '.9l(£)which': [12], 'are': [13], 'realized': [14], 'as': [15, 54, 80, 161], 'quotients': [16], 'woo(£)-invariant': [18], 'closed': [19], 'subspaces': [20], '.Consider': [24], 'a': [25, 81, 111, 141, 162, 167], 'reductive': [26], 'dual': [27], 'pair': [28], '(G,': [29], "G')": [30], '~': [31], 'Sp': [32], '[H2].It': [33], 'is': [34, 77, 92, 127, 137], 'not': [35, 78], 'hard': [36], 'to': [37, 58], 'show': [38], 'that': [39, 73], '--,': [40, 96], '00': [41], '--,G': [42], 'and': [43, 62, 101, 120, 148], 'G': [44, 53], 'commute': [45], 'with': [46], 'one': [47], 'another.Hence,': [48], 'we': [49], 'may': [50], 'regard': [51], 'wiG•': [52], 'aThe': [55], 'identification': [56], 'associates': [57], 'p': [59, 69, 74, 102], 'E': [60, 64, 103], '.9l(G)': [61], "p'": [63, 76, 156], ".9l(G')": [65], 'tensor': [67], 'product': [68], '®': [70, 75], "p'.(We": [71], 'note': [72], 'defined': [79], 'topological': [82], 'vector': [83], 'space;': [84], 'nevertheless,': [85], 'infinitesimal': [87], 'equivalence': [88], 'class': [89], "P®P'": [91], 'well': [93], 'defined.)Select': [94], ',': [95, 97, 99, 118, 122, 135], '--,--,': [98], 'w)': [100, 119, 136, 147], '.9l(G,w).Hence,': [104], '.9l(G•G': [105], ',w)': [106, 159], 'defines': [107], 'graph': [109, 139], 'correspondence': [112], 'between': [113, 143], 'certain': [114], 'subsets': [115], '.9l(G': [117], ".9l(G'": [121, 151], 'w).In': [123], 'fact,': [124], 'situation': [126], 'quite': [128], 'precise.Theorem': [129], '1.The': [130], '.9l': [132], '(G': [133], ".G'": [134], 'oj': [140, 157, 164], 'bijection': [142], '(all': [144, 149], 'oJ)': [145], '.9l(G,': [146], 'of)': [150], ',w).Moreover,': [152], 'an': [153], 'element': [154], 'p®': [155], ".9l(G.G'": [158], 'occurs': [160], 'quotient': [163], 'WOO': [165], 'in': [166], 'unique': [168], 'way.': [169]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2081525104', 'counts_by_year': [{'year': 2024, 'cited_by_count': 17}, {'year': 2023, 'cited_by_count': 4}, {'year': 2022, 'cited_by_count': 6}, {'year': 2021, 'cited_by_count': 14}, {'year': 2020, 'cited_by_count': 23}, {'year': 2019, 'cited_by_count': 15}, {'year': 2018, 'cited_by_count': 10}, {'year': 2017, 'cited_by_count': 25}, {'year': 2016, 'cited_by_count': 19}, {'year': 2015, 'cited_by_count': 11}, {'year': 2014, 'cited_by_count': 19}, {'year': 2013, 'cited_by_count': 19}, {'year': 2012, 'cited_by_count': 19}], 'updated_date': '2025-01-04T15:20:34.207989', 'created_date': '2016-06-24'}