Moskaleva Y. Systems of subspaces and *-representations of algebras generated by projectors

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U003005

Thesis Registration Form

0406U003005.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

03-07-2006

Specialized Academic Board

Д 26.001.18

Taras Shevchenko National University of Kyiv

Essay

All nonisomorphic transitive quadruples of subspaces of finite dimensional space are built by nonequivalent irreducible representations *-algebra. We proofed that description problem for transitive systems of n subspaces for n more or equally than 5 is *-wild. Nonisomorphism and transitivity of systems generated by nonequivalent irreducible *-representations of some algebras are proof. The set of nonisomorphic transitive quintuples of subspaces is built.

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Files

autorefA4_M.pdf

dis.pdf

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