Ivanov S. On *-representations of algebras linked with Coxter graphs

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U000279

Thesis Registration Form

0408U000279.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

21-01-2008

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

The parameters for algebras with two parameters associated with Dynkin diagrams and expanded Dynkin diagrams without cycles has been described. The method of construction of the representation of *-algebra, associated with tree is lead and proved and proved that non-trivial representations of *-algebra exists if and only if the method of marking has been correctly finished. The coincides of the irreducible representations of algebras associated with tree in case when in tree the distance between two arbitrary dangling vertex more than 2 has been proved.

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Files

aref.pdf

dis.pdf

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