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. J-18808-Ljbffr

Location: camerino, IT

Posted Date: 1/19/2025