In this paper we explicitly determine the derivation algebra, automorphism group of quasi Qn-filiform Lie algebras, and applying some properties of root vector decomposition we obtain their isomorphism theorem. AMS Classification: 17B05; 17B30

‎in this paper, we formulate the fourth order sturm-liouville problem (fslp) as a lie group matrix differential equation. by solving this ma- trix differential equation by lie group magnus expansion, we compute the eigenvalues of the fslp. the magnus expansion is an infinite series of multiple integrals of lie brackets. the approximation is, in fact, the truncation of magnus expansion and a gauss...

Abstract We study the problem of determining maximum size a spherical two-distance set with two fixed angles (one acute and one obtuse) in high dimensions. Let $$N_{\alpha ,\beta }(d)$$ N α , β ( d</m...

We study the probability that all eigenvalues of $n\times n$ Hermitian matrices, from Laguerre unitary ensemble with weight $x^{\gamma}\mathrm{e}^{-4nx},\;x\in[0,\infty),\;\gamma>-1$, lie in interval $[0,\alpha]$. By using previous results for finite $n$ obtained by ladder operator approach orthogonal polynomials, we derive large asymptotics largest eigenvalue distribution function $\alpha$ ran...

in this paper, lie group structure and lie algebra structure of unit complex 3-sphere     are studied. in order to do this, adjoint representations of unit biquaternions (complexified quaternions) are obtained. also, a correspondence between the elements of     and the special complex unitary matrices    (2) is given by expressing biquaternions as 2-dimensional bicomplex numbers    .  the relat...

using the riemann-liouville fractional differintegral operator, the lie theory is reformulated. the fractional poisson bracket over the fractional phase space as 3n state vector is defined to be the fractional lie derivative. its properties are outlined and proved. a theorem for the canonicity of the transformation using the exponential operator is proved. the conservation of its generator is p...

We examined the effect of mutations in the V beta portion of a pigeon cytochrome c (cyto c)-specific V beta 3+/V alpha 11+ T cell receptor on its ability to recognize cyto c/IEk and various superantigens. The results were consistent with an immunoglobulin-like structure for the receptor V beta domain and with separate interaction sites on V beta for conventional antigen and superantigens. An am...

Let $\mathfrak{n}$ be a maximal nilpotent subalgebra of simple complex Lie algebra with root system $\Phi$. A subset $D$ the set $\Phi^+$ positive roots is called rook placement if it consists pairwise non-positive scalar products. To each and map $\xi$ from to $\mathbb{C}^{\times}$ nonzero numbers one can naturally assign coadjoint orbit $\Omega_{D,\xi}$ in dual space $\mathfrak{n}^*$. By defi...