Results 81 to 90 of about 3,483,162 (228)
Semidirect products of representations up to homotopy [PDF]
Pacific J. Math. 249:1 (2011), 211-236, 2009 We study the semidirect product of a Lie algebra with a representation up to homotopy and provide various examples coming from Courant algebroids, string Lie 2-algebras, and omni-Lie algebroids. In the end, we study the semidirect product of a Lie group with a representation up to homotopy and use it to give an integration of a certain string Lie 2 ...
arxiv
Hardy's Theorem for Gabor transform [PDF]
arXiv, 2016 We establish analogues of Hardy's theorem for Gabor transform on locally compact abelian groups, Euclidean motion group and several general classes of nilpotent Lie groups which include Heisenberg groups, thread-like nilpotent Lie groups, $2$-NPC nilpotent Lie groups and low-dimensional nilpotent Lie groups.
arxiv
Certain Relations of Gegenbauer and Modified Gegenbauer Matrix Polynomials by Lie Algebraic Method
Journal of New Theory, 2019 The object of the present paper is to derive the generating formulae for the Gegenbauer and modified Gegenbauer matrix polynomials by introducing a partial differential operatorand constructing the Lie algebra representation formalism of special linear ...
Ayman Shehata
doaj
Open PhysicsThis research article analytically investigates a soliton equation of high dimensions, particularly with applications, and precisely in the fields of physical sciences and engineering.
Adeyemo Oke Davies +1 more
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On the q-Lie group of q-Appell polynomial matrices and related factorizations
Special Matrices, 2018 In the spirit of our earlier paper [10] and Zhang and Wang [16],we introduce the matrix of multiplicative q-Appell polynomials of order M ∈ ℤ. This is the representation of the respective q-Appell polynomials in ke-ke basis.
Ernst Thomas
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Matrix Lie Groups as 4-Dimensional Hypercomplex Manifolds with Hermitian-Norden metrics [PDF]
arXiv, 2019 There are studied Lie groups considered as almost hypercomplex Hermitian-Norden manifolds, which are integrable and have the lowest dimension four. It is established a correspondence of the derived Lie algebras of types of invariant hypercomplex structures and the explicit matrix representation of their Lie groups. There are constructed examples of the
arxiv
Representation types and 2-primary homotopy groups of certain compact Lie groups [PDF]
, 2003 Donald M. Davis
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Cartan geometry, Lie and representation theory, Integrable Systems, quantum Groups and quantum computing towards the understanding of the geometry of deep Learning and its Applications [PDF]
, 2022 openalex +1 more source