Selection Procedure For The Recruitment Of 1 Full Professor Positions, Pursuant To Art. 18, Par[...]

Organisation/Company: Università degli Studi di Camerino
Department: Scuola di Scienze e Tecnologie - sezione di Matematica
Research Field: Mathematics
Researcher Profile: Recognised Researcher (R2), Leading Researcher (R4), First Stage Researcher (R1), Established Researcher (R3)
Country: Italy
Application Deadline: 6 Feb 2025 - 23:59 (UTC)
Type of Contract: Permanent
Job Status: Full-time
Hours Per Week: Full-time
Offer Starting Date: 1 Jan 1970
Is the job funded through the EU Research Framework Programme?
Not funded by a EU programme
Is the Job related to staff position within a Research Infrastructure?
No
Offer Description The main goal of the project is to investigate the finite dimensional (fd) representation of a general semisimple Lie algebra, under a 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 fields of generalized power series: the aim is to determine new irreducible series.

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