Selection procedure for the recruitment of 1 Full Professor positions, pursuant to Art. 18, Paragraph 4-ter of Law No. 240/2010, School of Science and Technology, Group of Academic Disciplines 01/MATH-01 and Academic Discipline MATH-01/A

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Selection procedure for the recruitment of 1 Full Professor positions, pursuant to Art. 18, Paragraph 4-ter of Law No. 240/2010, School of Science and Technology, Group of Academic Disciplines 01/MATH-01 and Academic Discipline MATH-01/A

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Job description

Offer DescriptionThe main goal of the project is to investigate the finite dimensional (fd) representation of a general semisimple Lie algebra, under model-theoretical point of view, starting from Herzog’s work on the Lie algebra sl(2,k). From an arbitrary ring R with an involution * , the idea is to construct a suitable extension of the ring (R, *) which is *-regular (that is, an extension where every element has a Moore-Penrose inverse according to *). A similar regular extension over the Lie algebra (with respect to a suitable involution) will be introduced and its fd representations explored.
In the setting of representation theory, the aim is to determine the Haar measure on the compact p-adic special orthogonal groups of rotations and to study their irreducible representations.
Another direction of the project regards with fields of generalized power series: the aim is to determine new irreducible series.Where to apply WebsiteRequirementsAdditional InformationWork Location(s)Number of offers available 1 Company/Institute Università degli Studi di Camerino Country Italy City Camerino GeofieldContact CityCamerino WebsiteE-Mailanna.silano@unicam.itSTATUS: EXPIREDShare this page

Expected salary

Location

Camerino, Macerata

Job date

Sat, 11 Jan 2025 07:09:17 GMT

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