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Lie Algebra Kernels and Cohomology
American Journal of Mathematics, 1954The author continues his study of the interpretation of restricted cohomology groups of restricted Lie algebras (cf. preceding review Zbl 0055.26505). Here the 3-dimensional cohomology group is interpreted in terms of ``restricted'' kernels, which are analogous to the kernels of group extension theory.
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The kernel space of a Witt algebra
Russian Mathematical Surveys, 1988See the review in Zbl 0658.17012.
Bakiev, M. N., Dzhumadil'daev, A. S.
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The R-Matrix Presentation for the Yangian of a Simple Lie Algebra
Communications in Mathematical Physics, 2017Starting from a finite-dimensional representation of the Yangian $${Y (\mathfrak{g})}$$Y(g) for a simple Lie algebra $$ \mathfrak{g}$$g in Drinfeld’s original presentation, we construct a Hopf algebra $${{X}_\mathcal{I}(\mathfrak{g})}$$XI(g), called the ...
C. Wendlandt
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Kernelization of Constraint Satisfaction Problems: A Study Through Universal Algebra
International Conference on Principles and Practice of Constraint Programming, 2017A kernelization algorithm for a computational problem is a procedure which compresses an instance into an equivalent instance whose size is bounded with respect to a complexity parameter.
Victor Lagerkvist, Magnus Wahlström
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Algebraic structure and kernel of the Schrodinger equation
Journal of Physics A: Mathematical and General, 1987The author derives the kernel of the Schrödinger equation in the following special cases: free particle, harmonic oscillator, harmonic oscillator and gravitational field, uniform field. His result are deduced from the consideration of the commutation relations of the Lie algebra. It is remarked that the same results can be obtained by using the Feynman'
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Hochschild Cohomologies of the Associative Conformal Algebra Cend1,x
Algebra i logika, 2017It is stated that the second Hochshild cohomology group of the associative conformal algebra Cend1,x with values in any bimodule is trivial. Consequently, the given algebra splits off in every extension with nilpotent kernel.
R. Kozlov
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A Grassmann algebra for matroids
, 2015We introduce an idempotent analogue of the exterior algebra for which the theory of tropical linear spaces (and valuated matroids) can be seen in close analogy with the classical Grassmann algebra formalism for linear spaces.
Jeffrey Giansiracusa, Noah Giansiracusa
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Journal of machine learning research, 2008
We present a unified framework to study graph kernels, special cases of which include the random walk (Gartner et al., 2003; Borgwardt et al., 2005) and marginalized (Kashima et al., 2003, 2004; Mahet al., 2004) graph kernels.
S. Vishwanathan +3 more
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We present a unified framework to study graph kernels, special cases of which include the random walk (Gartner et al., 2003; Borgwardt et al., 2005) and marginalized (Kashima et al., 2003, 2004; Mahet al., 2004) graph kernels.
S. Vishwanathan +3 more
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Dimensions of the Kernels of linear operators and their algebraic adjoints
Acta Mathematica Sinica, English Series, 1998Summary: We study the kernels of a linear operator and its algebraic adjoint by studying their restriction on a subspace, a Banach space, such that the restriction is the difference of the identity and a compact operator under some conditions, and therefore some results on compact operator theory can be applied.
Yang, Lihua, Sun, Xingming
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Stonean kernels of MS-algebras
Wuhan University Journal of Natural Sciences, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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