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A Diagnostic Procedure for Identifying Isotherm Models in Liquid Chromatography. [PDF]
Ind Eng Chem ResKatsoulas K +3 more
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b -Hurwitz numbers from refined topological recursion. [PDF]
Math AnnKumar Chidambaram N +2 more
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Advanced soliton structures and elliptic wave patterns in a sixth-order nonlinear Schrödinger equation using improved modified extended tanh function method. [PDF]
Sci RepFahim MM, Ahmed HM, Dib KA, Samir I.
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Most totally real fields do not have universal forms or the Northcott property. [PDF]
Proc Natl Acad Sci U S ADaans N +4 more
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Dynamic modeling and adaptive variable constraint optimization for integrated energy systems based on double-loop framework. [PDF]
Sci RepWei Z, Dong X, Jia B, Li F, Sun B.
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BioLogical: a universal analysis framework for biosystem logical dynamics. [PDF]
Comput Struct Biotechnol JYao Y, Liu D, Zhang Z, Zhao C, Pei D.
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A novel method for approximate solution of two point non local fractional order coupled boundary value problems. [PDF]
PLoS OneTadoummant L +4 more
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Journal of Mathematical Physics, 1970
The present work is concerned with what are called polynomial algebras as an extension of the work of Ramakrishnan and his colleagues on the algebras of matrices satisfying conditions like Lm = I and Lm = Lk. Assuming Lm to be an m-dimensional linear space, we generate a class of associative algebras called polynomial algebras by requiring that every ...
Raghavacharyulu, I. V. V. +1 more
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The present work is concerned with what are called polynomial algebras as an extension of the work of Ramakrishnan and his colleagues on the algebras of matrices satisfying conditions like Lm = I and Lm = Lk. Assuming Lm to be an m-dimensional linear space, we generate a class of associative algebras called polynomial algebras by requiring that every ...
Raghavacharyulu, I. V. V. +1 more
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Functional Analysis and Its Applications, 2002
Let \(P\) be an algebra of complex polynomials in \(\lambda_0, \ldots, \lambda_n\) and \(L_P\) the free left \(P\)-module with a basis \(1, l_0, \ldots, l_n\). Define the structure of a Lie algebra \(\mathfrak a(C,V)\) on \(L_P\) by setting \[ [l_i,l_j]=\sum c_{i,j}^k(\lambda)l_k,\quad [l_i,\lambda_q]=v_{i,q}(\lambda), \quad [\lambda_i,\lambda_j]=0, \]
Bukhshtaber, V. M., Leĭkin, D. V.
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Let \(P\) be an algebra of complex polynomials in \(\lambda_0, \ldots, \lambda_n\) and \(L_P\) the free left \(P\)-module with a basis \(1, l_0, \ldots, l_n\). Define the structure of a Lie algebra \(\mathfrak a(C,V)\) on \(L_P\) by setting \[ [l_i,l_j]=\sum c_{i,j}^k(\lambda)l_k,\quad [l_i,\lambda_q]=v_{i,q}(\lambda), \quad [\lambda_i,\lambda_j]=0, \]
Bukhshtaber, V. M., Leĭkin, D. V.
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