Results 21 to 30 of about 3,438 (167)
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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Quantum Analogs of Tensor Product Representations of su(1,1)
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We study representations of U_q(su(1,1)) that can be considered as quantum analogs of tensor products of irreducible *-representations of the Lie algebra su(1,1).
Wolter Groenevelt
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On irreducible projective representations of finite groups [PDF]
Surveys in Mathematics and its Applications, 2009 The paper is a survey type article inwhich we present some results on irreducible projective representations offinite groups. Section 2 includes Curtis and Reiner's theorem inwhich is proved that a finite group has at most a finite number ofinequivalent ...
Tania-Luminiţa Costache
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ON GENERALIZATION OF SPECIAL FUNCTIONS RELATED TO WEYL GROUPS
Acta Polytechnica, 2016 Weyl group orbit functions are defined in the context of Weyl groups of simple Lie algebras. They are multivariable complex functions possessing remarkable properties such as (anti)invariance with respect to the corresponding Weyl group, continuous and ...
Lenka Háková, Agnieszka Tereszkiewicz
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Automorphy lifting with adequate image
Forum of Mathematics, Sigma, 2023 Let F be a CM number field. We generalise existing automorphy lifting theorems for regular residually irreducible p-adic Galois representations over F by relaxing the big image assumption on the residual representation.
Konstantin Miagkov, Jack A. Thorne
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On the irreducible representations of a finite semigroup [PDF]
Proceedings of the American Mathematical Society, 2009 Work of Clifford, Munn and Ponizovski{\uı} parameterized the irreducible representations of a finite semigroup in terms of the irreducible representations of its maximal subgroups. Explicit constructions of the irreducible representations were later obtained independently by Rhodes and Zalcstein and by Lallement and Petrich.
Ganyushkin, Olexandr +2 more
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Irreducible representations of the Poincare parasuperalgebra [PDF]
Journal of Physics A: Mathematical and General, 1995 Summary: We explicitly describe all the irreducible unitary representations of the Poincaré parasuperalgebra, i.e. the parasupersymmetric extension of the Lie algebra of the Poincaré group. This parasuperalgebra includes, as a particular case, the usual Poincaré superalgebra and can serve as the group-theoretical foundation of parasupersymmetric ...
Nikitin, A. G., Tretynyk, V. V.
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Irreducible representations of simple Lie algebras by differential operators
European Physical Journal C: Particles and Fields, 2021 We describe a systematic method to construct arbitrary highest-weight modules, including arbitrary finite-dimensional representations, for any finite dimensional simple Lie algebra $${\mathfrak {g}}$$ g .
A. Morozov +3 more
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Irreducible representations of $\mathbb{Z}_2^2$-graded supersymmetry algebra and their applications
SciPost Physics Proceedings, 2023 We give a brief review on recent developments of $\mathbb{Z}_2^n$-graded symmetry in physics in which hidden $\mathbb{Z}_2^n$-graded symmetries and $\mathbb{Z}_2^n$-graded extensions of known systems are discussed.
Naruhiko Aizawa
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