Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Supervisors info:
Μαρία Χλουβεράκη, Επίκουρη Καθηγήτρια, Τμήμα Μαθηματικών, ΕΚΠΑ
Original Title:
Κλασικές, αφινικές και κυκλοτομικές άλγεβρες Yokonuma-Hecke : Δομή και αναπαραστάσεις
Translated title:
Classical, affine and cyclotomic algebras Yokonuma-Hecke : Structure and representations
Summary:
In this master thesis, we define and study the classical,affine and cyclotomic
Yokonuma–Hecke algebras. Affine and cyclotomic Yokonuma–Hecke
algebras generalise at the same time the Ariki–Koike and affine Hecke
algebras and the Yokonuma–Hecke algebras. All these algebras generalise
the group algebra of the symmetric group and they play an important role
in the study of the representation theory of GLn(q),as well as in other areas
of mathematics. We study the representation theory of these algebras and
construct several bases for them
Main subject category:
Science
Keywords:
Classical, affine and cyclotomic algebras Yokonuma-Hecke
