Results 11 to 20 of about 872,521 (356)
Error bounds for Lie group representations in quantum mechanics [PDF]
Journal of Physics A: Mathematical and Theoretical, 2022 We provide state-dependent error bounds for strongly continuous unitary representations of connected Lie groups. That is, we bound the difference of two unitaries applied to a state in terms of the energy with respect to a reference Hamiltonian ...
Lauritz van Luijk +3 more
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Nonlinear Filter for Simultaneous Localization and Mapping on a Matrix Lie Group Using IMU and Feature Measurements [PDF]
IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2021 Simultaneous localization and mapping (SLAM) is a process of concurrent estimation of the vehicle’s pose and feature locations with respect to a frame of reference.
Hashim A. Hashim, A. E. Eltoukhy
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A type B analog of the Lie representation [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We describe a type B analog of the much studied Lie representation of the symmetric group. The nth Lie representation of Sn restricts to the regular representation of Sn−1, and our generalization mimics this property.
Andrew Berget
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A new division algebra representation of E8 [PDF]
Journal of Mathematics and Physics, 2023 We construct the well-known decomposition of the Lie algebra e8 into representations of e6⊕su(3) using explicit matrix representations over pairs of division algebras.
T. Dray, C. Manogue, Robert A. Wilson
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The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras
Electronic Research Archive, 2022 The main purpose of this paper is to provide a full cohomology of a Hom-pre-Lie algebra with coefficients in a given representation. This new type of cohomology exploits strongly the Hom-type structure and fits perfectly with simultaneous deformations of
Shanshan Liu +2 more
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Surjektifitas Pemetaan Eksponensial untuk Grup Lie Heisenberg yang Diperumum
Jambura Journal of Mathematics, 2023 The Heisenberg Lie Group is the most frequently used model for studying the representation theory of Lie groups. This Lie group is modular-noncompact and its Lie algebra is nilpotent.
Edi Kurniadi +2 more
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Ruang Fase Tereduksi Grup Lie Aff (1)
Jambura Journal of Mathematics, 2021 ABSTRAK Dalam artikel ini dipelajari ruang fase tereduksi dari suatu grup Lie khususnya untuk grup Lie affine berdimensi 2. Tujuannya adalah untuk mengidentifikasi ruang fase tereduksi dari melalui orbit coadjoint buka di titik tertentu pada ruang ...
Edi Kurniadi
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On the Differentability of the Unitary Representation of the Lie Group.
, 1951 Jyun-ichi HANO
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Generalized Reynolds Operators on Lie-Yamaguti Algebras
Axioms, 2023 In this paper, the notion of generalized Reynolds operators on Lie-Yamaguti algebras is introduced, and the cohomology of a generalized Reynolds operator is established.
Wen Teng, Jiulin Jin, Fengshan Long
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The representation zeta function of a FAb compact p‐adic Lie group vanishes at −2 [PDF]
, 2013 Let G be a compact p ‐adic Lie group and suppose that G is FAb, that is, that H/[H,H] is finite for every open subgroup H of G . The representation zeta function ζG(s)=∑χ∈Irr(G)χ(1)−s encodes the distribution of continuous irreducible complex characters ...
J. González-Sánchez +2 more
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