Sinelshchikov S. Actions of non-commutative groups and quantum algebras on point spaces and their q-analogs

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0516U000812

Thesis Registration Form

0516U000812.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

26-10-2016

Specialized Academic Board

Д 64.175.01

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

Essay

A classification of cocycles of dynamical systems is produced; a possibility of regularization for actions of groups an groupoids on equivalence relations is established; sufficient conditions are found for conjugacy and isomorphism of stability groups for ergodic group actions; a relation is found between entropic properties of group actions; the properties of quantum algebras and differential calculi related to quantum bounded symmetric domains are clarified; quantum algebras containing idempotents and other zero divisors are produced; the symmtires of quantum plane and its Laurent extension are described.

Read more

Files

aref.pdf

dis.pdf

Similar theses

0524U000127

Andrii O. Kuryliak

Asymptotic properties and value distribution of random analytic functions.

0821U101801

Petrova Iryna Leonidivna

"Interpolatory estimates for comonotone approximation

0421U102744

Volkov Sergiy V

To the theory of boundary behavior of mappings on Riemann surfaces

0421U102723

Petkov Ihor Vasylovich

The boundary behavior of solutions and the Dirichlet problem for the Beltrami equations

0421U102684

Holubchak Oleh Mykhailovych

Operators on Hilbert spaces of symmetric analytic functions on a Banach space with a symmetric structure.