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306 (0,102s) •

Project

Arithmetic properties of Hopf-Galois extensions (GN24-11088O)

A Hopf-Galois extension is a generalization of the notion of Galois extension by which there is some Hopf-Galois structure: a pair formed by a Hopf algebra algebra acts on a Galois extension. This approach...

Pure mathematics

  • 2024 - 2027
    • •
  • 4 229 tis. Kč
    • •
  • 4 229 tis. Kč
    • •
  • GA ČR
Project

Braided differential geometry and homotopy algebras (GN24-11324I)

in the presence of a quasitriangular Hopf algebra symmetry. With the induced braided structure approached via Batalin-Vilkovisky algebras into noncommutative algebra and representation, braided category methods an...

Pure mathematics

  • 2024 - 2027
    • •
  • 4 023 tis. Kč
    • •
  • 4 023 tis. Kč
    • •
  • GA ČR
Project

Quantum geometric representation theory and noncommutative fibrations (GF24-11728K)

This project is divided into three parts: quantum geometric representation theory, noncommutative fibrations with quantum homogeneous fibers, and the role of Fell bundles in this context. We investigate the use of quantum homogeneous spaces for Drin...

Pure mathematics

  • 2024 - 2026
    • •
  • 9 675 tis. Kč
    • •
  • 9 432 tis. Kč
    • •
  • GA ČR
Project

Superalgebra approach for free algebras (KJB101210801)

The research project consists ot three parts. The first part conserns with the description of central and nuclear skew-symmetric functions in the free alternative algebra on the countable set of generators. Here we plan to extend the techniq...

BA - Obecná matematika

  • 2008 - 2010
    • •
  • 555 tis. Kč
    • •
  • 555 tis. Kč
    • •
  • AV ČR
Project

Measure algebras (IAA100190509)

We shall investigate measure algebras with emphasis on their algebraic characterization. We shall concentrate on the open problems related to the long standing open problem of John von Neumann from the Scottish Book.......

BA - Obecná matematika

  • 2005 - 2009
    • •
  • 500 tis. Kč
    • •
  • 500 tis. Kč
    • •
  • AV ČR
Project

C*-Algebras of Symmetries and their Invariants (GF25-15403K)

, in C*-algebra theory, with a focus on C*-algebras associated to symmetries*-algebras associated with single homeomorphisms and more general groupoids; Hecke C*-algebras, which are deformations of C*-algebras...

Pure mathematics

  • 2025 - 2027
    • •
  • 6 333 tis. Kč
    • •
  • 6 333 tis. Kč
    • •
  • GA ČR
Project

Operator algebras, orthocomplemented structures, and non-commutative measure theory (GA201/00/0331)

, algebra). The main goal is to investigate topical open problems in the theory of operator algebras, orthomodular structures and non-commutative measure theory built on these structures. The main research lines are as follows: (1) ...

BA - Obecná matematika

  • 2000 - 2002
    • •
  • 708 tis. Kč
    • •
  • 708 tis. Kč
    • •
  • GA ČR
Project

Homotopy invariant structures in algebra (IAA1019203)

for algebraic structures was made much later, in 1999 by the applicant in his paper "Homotopy algebras are homotopy algebras". Some of the methods of the paper have already an idealhomological perturbation lemma for chain ...

BA - Obecná matematika

  • 2002 - 2003
    • •
  • 403 tis. Kč
    • •
  • 137 tis. Kč
    • •
  • AV ČR
Project

Symmetries, dualities and approximations in derived algebraic geometry and representation theory (GA20-13778S)

The project focuses on new trends in homological algebra, represenation theory and algebraic geometry. In particular, we aim at studying and developing a theory commutative algebra, algebraic geometry and represent...

Pure mathematics

  • 2020 - 2023
    • •
  • 16 124 tis. Kč
    • •
  • 14 987 tis. Kč
    • •
  • GA ČR
Project

Mathematical formalism of quantum theories (operator algebras and ordered structures with orthocomplemantation ) (GA201/96/0117)

, algebra) and theoretical physics. From the mathematical standpoint the project deals with the theory of operator algebras, ordered structures with orthocomplemantations analytic problems of oeprator algebras, (von Neumann...

BA - Obecná matematika

  • 1996 - 1998
    • •
  • 742 tis. Kč
    • •
  • 710 tis. Kč
    • •
  • GA ČR
  • 1 - 10 out of 306