Kriukova G. Quasi-Cartan matrices, associated Lie algebras and integer quadratic forms

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U007064

Thesis Registration Form

0411U007064.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

21-11-2011

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

The thesis is devoted to study of quasi-Cartan matrices and objects associated to them: Lie algebras and integer quadratic forms. The equivalence classes of positive (non-negative) quasi-Cartan matrices are studied. It is shown that for positive quasi-Cartan matrix associated Lie algebra is finite-dimensional semi-simple Lie algebra.

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Files

aref.doc

diss_Kriukova.pdf

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