Results 11 to 20 of about 3,438 (167)

Irreducible Representations of Algebras [PDF]

Canadian Journal of Mathematics, 1974
The concept of the universal enveloping algebra of a (not necessarily associative) algebra X is basic to the study of the representations of X, because there is a one-to-one correspondence between the representations of X and . If one is only interested in studying a certain class of the representations of X, the thought occurs that there may exist a ...
openaire   +1 more source

Noetherianity of the space of irreducible representations [PDF]

Israel Journal of Mathematics, 2003
Let R be an associative ring with identity. We study an elementary generalization of the classical Zariski topology, applied to the set of isomorphism classes of simple left R-modules (or, more generally, simple objects in a complete abelian category).
openaire   +3 more sources

Irreducible Modular Representations of the Reflection Group G(m,1,n)

Journal of Mathematics, 2015
In an article published in 1980, Farahat and Peel realized the irreducible modular representations of the symmetric group. One year later, Al-Aamily, Morris, and Peel constructed the irreducible modular representations for a Weyl group of type Bn.
José O. Araujo, Tim Bratten, Cesar L. Maiarú   +2 more
doaj   +1 more source

The unitary representations of the Poincar\'e group in any spacetime dimension

SciPost Physics Lecture Notes, 2021
An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented.
Xavier Bekaert, Nicolas Boulanger
doaj   +1 more source

Irreducible representations of diperiodic groups [PDF]

Journal of Physics A: Mathematical and General, 1998
30 pages, 5 figures, 28 tables, 18 refs, LaTex2 ...
Milošević, I., Nikolić, B., Damnjanović, M., Krčmar, M.   +3 more
openaire   +2 more sources

Multipartite Quantum Systems and Representations of Wreath Products [PDF]

EPJ Web of Conferences, 2020
The multipartite quantum systems are of particular interest for the study of such phenomena as entanglement and non-local correlations. The symmetry group of the whole multipartite system is the wreath product of the group acting in the “local” Hilbert ...
Kornyak Vladimir
doaj   +1 more source

Computational Enumeration of Colorings of Hyperplanes of Hypercubes for all Irreducible Representations and Applications

Journal of Mathematical Sciences and Modelling, 2018
We obtain the generating functions for the combinatorial enumeration of colorings of all hyperplanes of hypercubes for all irreducible representations of the hyperoctahedral groups.
Krishnan Balasubramanian
doaj   +1 more source

Machine learning Lie structures & applications to physics

Physics Letters B, 2021
Classical and exceptional Lie algebras and their representations are among the most important tools in the analysis of symmetry in physical systems.
Heng-Yu Chen, Yang-Hui He, Shailesh Lal, Suvajit Majumder   +3 more
doaj   +1 more source

Fuzzy de Sitter space

European Physical Journal C: Particles and Fields, 2018
We discuss properties of fuzzy de Sitter space defined by means of algebra of the de Sitter group $$\text {SO}(1,4)$$ SO(1,4) in unitary irreducible representations.
Maja Burić, Duško Latas, Luka Nenadović   +2 more
doaj   +1 more source

Galilei particles revisited

SciPost Physics Lecture Notes
We revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective representations of the Galilei group.
José Miguel Figueroa-O'Farrill, Simon Pekar, Alfredo Pérez, Stefan Prohazka
doaj   +1 more source