Results 21 to 30 of about 6,914 (263)

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
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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
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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
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Irreducible representations of finite spin groups

, 2022
In this paper we present a computation (done by the author in 1983) which yields a multiplicity one statement for the irreducible representations of a finite spin group which, in turn, yields the classification of the irreducible representations of a ...
Lusztig, G
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Irreducible representations of knot groups into SL(n,C) [PDF]

, 2017
International audienceThe aim of this article is to study the existence of certain reducible, metabelian representations of knot groups into $\mathrm{SL}(n,\mathbf{C})$ which generalise the representations studied previously by G.~Burde and G.~de Rham ...
Abdelghani, Leila Ben, L. Ben Abdelghani, Heusener, Michael, Ben Abdelghani, Leila, M. Heusener   +4 more
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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
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The local Langlands correspondence for inner forms of SL_n

, 2016
Let F be a non-archimedean local field. We establish the local Langlands correspondence for all inner forms of the group SLn(F). It takes the form of a bijection between, on the one hand, conjugacy classes of Langlands parameters for SLn(F) enhanced with ...
Aubert, Anne-Marie, Solleveld, Maarten, Paul Baum, Aubert, A.-M., Baum, Paul, Maarten Solleveld, Plymen, R., Roger Plymen, Anne-Marie Aubert, Baum, P., Solleveld, M., Plymen, Roger   +11 more
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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
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A preorder-free construction of the Kazhdan-Lusztig representations of $S_n$, with connections to the Clausen representations [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
We use the polynomial ring $\mathbb{C}[x_{1,1},\ldots,x_{n,n}]$ to modify the Kazhdan-Lusztig construction of irreducible $S_n$-modules. This modified construction produces exactly the same matrices as the original construction in [$\textit{Invent. Math}$
Charles Buehrle, Mark Skandera
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BasisGen: automatic generation of operator bases

European Physical Journal C: Particles and Fields, 2019
BasisGen is a Python package for the automatic generation of bases of operators in effective field theories. It accepts any semisimple symmetry group and fields in any of its finite dimensional irreducible representations.
Juan Carlos Criado
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