Results 71 to 80 of about 3,483,162 (228)
Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras
Известия Иркутского государственного университета: Серия "Математика", 2019 Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker +2 more
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Minimal matrix representations of five-dimensional Lie algebras [PDF]
arXiv, 2014 We obtain minimal dimension matrix representations for each indecomposable five-dimensional Lie algebra over $\R$ and justify in each case that they are minimal. In each case a matrix Lie group is given whose matrix Lie algebra provides the required representation.
arxiv
Modular Lie representations of finite groups [PDF]
Journal of the Australian Mathematical Society, 2004 AbstractLet K be a field of prime characteristic p and let G be a finite group with a Sylow p-subgroup of order p. For any finite-dimensional K G-module V and any positive integer n, let Ln (V) denote the nth homogeneous component of the free Lie K-algebra generated by (a basis of) V.
openaire +1 more source
AIMS Mathematics, 2019 We revisit Rossby-Haurwitz planetary wave modes of a two-dimensional fluid along the surface of a rotating planet, as elements of irreducible representations of the so(3) Lie algebra.
Ramses van der Toorn
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The special linear representations of compact Lie groups [PDF]
Mathematical Sciences, Vol. 4, No. 3 (2010) 343-352, 2007 The special linear representation of a compact Lie group G is a kind of linear representation of compact Lie group G with special properties. It is possible to define the integral of linear representation and extend this concept to special linear representation for next using.
arxiv
Lifting smooth curves over invariants for representations of compact Lie groups. II
, 2004 Any sufficiently often differentiable curve in the orbit space of a compact Lie group representation can be lifted to a once differentiable curve into the representation space.Comment: Latex, 7 pages, last section ...
Kriegl, Andreas +3 more
core +3 more sources
Spin Hurwitz theory and Miwa transform for the Schur Q-functions
Physics Letters B, 2022 Schur functions are the common eigenfunctions of generalized cut-and-join operators which form a closed algebra. They can be expressed as differential operators in time-variables and also through the eigenvalues of auxiliary N×N matrices X, known as Miwa
A. Mironov, A. Morozov, A. Zhabin
doaj
Chern-Simons theory, Ehrhart polynomials, and representation theory
Journal of High Energy PhysicsThe Hilbert space of level q Chern-Simons theory of gauge group G of the ADE type quantized on T 2 can be represented by points that lie on the weight lattice of the Lie algebra g up to some discrete identifications.
Chao Ju
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Harmonic Analysis in One-Parameter Metabelian Nilmanifolds
Symmetry, Integrability and Geometry: Methods and Applications, 2011 Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete cocompact subgroup.
Amira Ghorbel
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Entropy, 2018 We introduce poly-symplectic extension of Souriau Lie groups thermodynamics based on higher-order model of statistical physics introduced by Ingarden. This extended model could be used for small data analytics and machine learning on Lie groups.
Frédéric Barbaresco
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