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Note on Lie algebra kernels in characteristic 𝑝 [PDF]
Proceedings of the American Mathematical Society, 1956 Let K and L be Lie algebras over a field F. Let D(K) denote the derivation algebra of K, and I(K) the ideal consisting of the inner derivations of K. If q5 is a homomorphism of L into D(K)/I(K) then 4) defines what is called the structure of an L-kernel on K.
G. Hochschild
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On a chain of reproducing kernel Cartan subalgebras
Moroccan Journal of Pure and Applied Analysis, 2021 Let 𝔤 be a semisimple Lie algebra, j a Cartan subalgebra of 𝔤, j*, the dual of j, jv the bidual of j and B(., .) the restriction to j of the Killing form of 𝔤.
Kraidi Anoh Yannick, Kangni Kinvi
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Wasit Journal of Computer and Mathematics Science, 2023 algebra is one of the influential branches in the field of pure Mathematics. This field concentrate on the study of the algebraic structures and discussed the relationships among them.
mohd Shahoodh
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The kh-socle of a commutative semisimple Banach algebra [PDF]
Mathematica Bohemica, 2020 Let $\mathcal{A}$ be a commutative complex semisimple Banach algebra. Denote by ${\rm kh}({\rm soc}(\mathcal{A}))$ the kernel of the hull of the socle of $\mathcal{A}$.
Youness Hadder
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The Poisson Kernel for Hardy Algebras [PDF]
Complex Analysis and Operator Theory, 2008 This note contributes to a circle of ideas that we have been developing recently in which we view certain abstract operator algebras $H^{\infty}(E)$, which we call Hardy algebras, and which are noncommutative generalizations of classical $H^{\infty}$, as spaces of functions defined on their spaces of representations.
Muhly, Paul S., Solel, Baruch
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Generalizations of the double-copy: the KLT bootstrap
Journal of High Energy Physics, 2022 We formulate a new program to generalize the double-copy of tree amplitudes. The approach exploits the link between the identity element of the “KLT algebra” and the KLT kernel, and we demonstrate how this leads to a set of KLT bootstrap equations that ...
Huan-Hang Chi +4 more
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Sublinear Time Numerical Linear Algebra for Structured Matrices [PDF]
AAAI Conference on Artificial Intelligence, 2019 We show how to solve a number of problems in numerical linear algebra, such as least squares regression, lp-regression for any p ≥ 1, low rank approximation, and kernel regression, in time T(A)poly(log(nd)), where for a given input matrix A ∈ Rn×d, T(A ...
Xiaofei Shi, David P. Woodruff
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Integrability of unitary representations on reproducing kernel spaces [PDF]
, 2014 Let g be a Banach Lie algebra and \tau : g ---> g an involution. Write g=h+q for the eigenspace decomposition of g with respect to \tau and g^c := h+iq for the dual Lie algebra.
Merigon, Stephane +2 more
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Analytic Group Kernels and Lie Algebra Kernels [PDF]
Transactions of the American Mathematical Society, 1960 Made available in DSpace on 2014-12-05T21:50:04Z (GMT). No. of bitstreams: 1 0013519.pdf: 4191483 bytes, checksum: 8be73568683b59703b526632ade49bfc (MD5) Previous issue date: 1955 ; Embargo set by: Seth Robbins for item 58849 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs ; Restricted to ...
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kProbLog: An Algebraic Prolog for Kernel Programming [PDF]
, 2016 kProbLog is a simple algebraic extension of Prolog with facts and rules annotated with semiring labels. We propose kProbLog as a language for learning with kernels. kProbLog allows to elegantly specify systems of algebraic expressions on databases. We propose some code examples of gradually increasing complexity, we give a declarative specification of ...
ORSINI, FRANCESCO +2 more
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