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454 (0,097s) •

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*-

Pure mathematics

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

Homotopy and Homology Methods and Tools Related to Mathematical Physics (GX19-28628X)

algebras, constructions of generalized (co)homology theory for spaces with symmetries allowing to handle extremely complicated algebraic structures unavoidable in algebraic physics. We shall develop and extend ess...

Pure mathematics

  • 2019 - 2023
    • •
  • 43 058 tis. Kč
    • •
  • 43 058 tis. Kč
    • •
  • GA ČR
Project

Orthogonality and Symmetry (GF25-20013L)

back to Birkhoff and von Neumann), numerous algebraic, relational, or categorical and orthosets. In this context, symmetries play a crucial role, as in contrast to many other physical notions the significance of symmetries...

Pure mathematics

  • 2025 - 2027
    • •
  • 8 598 tis. Kč
    • •
  • 8 598 tis. Kč
    • •
  • GA 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

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

Geometry of integrable systems (GA201/04/0538)

structures, generalized, conditional and master symmetries, Bäcklund transformations of certain types possessing a ZCR taking values in the Lie algebra sl(2) or other nonsolvable Lie algebras, and present new examples of i...

BA - Obecná matematika

  • 2004 - 2006
    • •
  • 495 tis. Kč
    • •
  • 495 tis. Kč
    • •
  • GA ČR
Project

Cooperatin of Czech Republic with JINR Dubna in the theoretical and nuclear physics and application of nuclear methods in other fields (LA08002)

physics (algebraic methods for a study of symmetries, analytical and approximate...

BG - Jaderná, atomová a molekulová fyzika, urychlovače

  • 2008 - 2012
    • •
  • 12 750 tis. Kč
    • •
  • 12 750 tis. Kč
    • •
  • MŠMT
Project

Symmetry and invariance in analysis, geometric modelling and control theory (GA20-11473S)

The most important differential operators in mathematical models enjoy big groups of symmetries, which is equivalent to their invariance with respect algebraic tools. The current project focuses on such phenomena related to Clifford...

Pure mathematics

  • 2020 - 2023
    • •
  • 8 136 tis. Kč
    • •
  • 8 136 tis. Kč
    • •
  • GA ČR
Project

Algebraic methods in geometric analysis and topology (GA201/02/1390)

, the following topics will be dealt with: 1) the study of the symmetries and related manifolds, 2)topological constructions of algebraic character motivated by mathematical for colored operads describing diagrams of algebras

BA - Obecná matematika

  • 2002 - 2004
    • •
  • 6 716 tis. Kč
    • •
  • 2 828 tis. Kč
    • •
  • GA ČR
Project

Invariants and symmetries of Levi degenerate CR manifolds (GA21-09220S)

and symmetries of Levi nondegenerate hypersurfaces played fundamental role in the development by Kohn and leading to spectacular applications in algebraic geometry, due to Siu et of Levi degenerate manifolds, and fully describe the...

Pure mathematics

  • 2021 - 2023
    • •
  • 4 524 tis. Kč
    • •
  • 4 524 tis. Kč
    • •
  • GA ČR
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