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Izvestiya: Mathematics, 2016, Volume 80, Issue 5, Pages 910–953
DOI: https://doi.org/10.1070/IM8436 (Mi im8436) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The geometry of polynomial identities

C. Procesi

Mathematics Department, University of Rome "La Sapienza", Italy
English version PDF (550 kB) Citations (2)
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DOI: https://doi.org/10.1070/IM8436
Abstract: In this paper we stress the role of invariant theory and in particular the role of varieties of semisimple representations in the theory of polynomial identities of an associative algebra.
In particular, using this tool, we show that two PI-equivalent finite-dimensional fundamental algebras (see Definition 2.19) have the same semisimple part. Moreover, we carry out some explicit computations of codimensions and cocharacters, extending work of Berele [8] and Kanel-Belov [6], [7].
Keywords: polynomial identities, fundamental algebras, invariant theory.
Received: 01.08.2015
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2016, Volume 80, Issue 5, Pages 103–152
DOI: https://doi.org/10.4213/im8436
Bibliographic databases:
Document Type: Article
UDC: 512.552.4+512.547.212
MSC: 15A24, 16R10, 16R30
Language: English
Original paper language: Russian
Citation: C. Procesi, “The geometry of polynomial identities”, Izv. RAN. Ser. Mat., 80:5 (2016), 103–152; Izv. Math., 80:5 (2016), 910–953
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:458
    Russian version PDF:147
    English version PDF:4
    References:61
    First page:30
     
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