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Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Natalia Bakaikina
Construction of Nondiagonal Matrix Units in the A_n Series Hecke Algebra
Mathematics
(Bachelor’s programme)
2017
The main disadvantage of classical methods describing irreducible representations of the sym-

metric group was their high degree of complexity. Okounkov and Vershik (1996) proposed a

relatively simple approach to this mathematical category. The strong assumption of their approach was that irreducible representations of all symmetric groups should be studied together. In this work, we relax the assumption by focusing on the representation theory of Hecke algebras only, which is one-parameter deformations of the group algebra of the sym-

metric group. More specically, we create an approach which can be used to describe an algebraic structure of Hecke algebras through a correspondence between the Hecke algebra and the matrix algebras.

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