Vlasenko M. On representations of Temperlay - Lieb relations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U001516

Thesis Registration Form

0405U001516.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

29-03-2005

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

We consider structure and representations of the generalized Temperley - Lieb algebras and their quotients by orthogonality relations, we also classify these quotients by asympthotic characteristics, construct geometric invariants of central varieties and identities in algebras. Results are applied to obtain description of all irreducible configurations of subspaces in Hilbert space for finite dimensional and affine cases.

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